Random Non-Relativistic Rules Project

[LaundryPizza03]

I have decided to start a new project to explore the overall properties of non-relativistic rules and the objects in them. I have randomly generated 100 non-relativistic rules. The idea here is to explore the vanishing patterns, still lifes, oscillators, spaceships, and other interesting objects in each of them, even though most of them are explosive. I plan to build a non-totalistic glider database eventually and want to see what typical results will look like, and plan to add more rules if it's successful enough.

Code: Select all

1. B2-ak3eqry4aciw5-akr6-a7e/S012aik3ry4rwyz5ekqry6n7c8
2. B2eik3ciy4ijnrtw5-ae7/S12eik3-cer4eikqry5-ekqy7c
3. B2cek3ejkn4aceijnt5-cejr6cek7e/S1c2ikn3-ijy4-aekqr5ejny6kn7c8
4. B2ekn3eiry4aertwyz5-aknr6-in8/S01c2ak3-eiy4-acntw5-er6ack7c
5. B2-ac3aikqy4acejnqz5-cn6cn7e/S2ein3-eqr4-cijwy5-ijqy6-cn8
6. B2-ac3-ekny4ajnryz5acknq6cik7e/S12cik3-jry4qtw5acnqr6ein7
7. B2cn3ainqy4aeijqrw5-ceiy6en7e8/S01c2-n3ciqry4ckrwy5-aen6kn7e8
8. B2ce3iry4cijnqt5-ceik6-e7e/S1c23acijr4-rwyz5qy7c8
9. B2cei3enr4ijkqwy5-qr6ci78/S01c2in3einy4-cntz5ajqy6en7e
10. B2c3-kqry4-ekrw5ceq6cn/S01c2-en3-ceq4ejkrwyz5cinr7c8
11. B2-ae3-ejky4aeinry5aenqy6ce78/S2-cn3-cenq4-akty5-ijk6cn7e
12. B2-an3ajny4eijtw5cjnqr6-ek7e/S2-in3-cekr4acjknz5jkqry6ck78
13. B2-ae3-ceik4aejkqt5-aijn6n7c8/S02cen3aejq4-eiyz5akqr6ek
14. B2-ai3ejqry4aijknr5inr6-an7e/S2-ck3cejr4eijqrwy5cknq6c78
15. B2e3ijry4aejrwz5-eijy6-ck8/S01e2ace3-i4acjnqwy5-jknr6-ck78
16. B2ei3aeiq4-nqr5cnqry6cn7/S012ei3ijkr4ajkrwyz5cjkny6aen8
17. B2-ak3-enr4einwz5aejy6ci78/S02aen3-jknq4cknqtwz5-air6ae7c8
18. B2cek3-inr4ackqwyz5-jn6in7c8/S1c2kn3eky4ceqrwyz5-acey6-ck78
19. B2-ae3-cen4enz5-aeiy6-i7c/S02ack3-aekq4-acny5ajkqy6ekn7e8
20. B2cen3cin4ceknqtz5iny6ckn7e8/S1e2ak3cjkq4-aciny5cijkr6aei7e8
21. B2-ak3-cejy4jqrw5-acjq6aik7c/S12ein3jkry4cejqtz5-ejry6ace7e
22. B2en3cinqy4cknz5jqr6-in7c8/S01e2kn3ejkq4eijknqz5ckq6-a8
23. B2en3ijnr4-ikrt5acry6-n7e/S02ekn3-ikry4aeijrw5aejkr6ce7e
24. B2ce3-cejq4ekqtyz5-anqy6cn7c8/S12ik3jnr4erw5kqr6-kn7
25. B2-ak3-aejq4eiqrt5-jnqy6ci/S02-ai3-acnr4-ajrty5ack6aik7e8
26. B2-ak3ei4cijnwyz5aqy6ein78/S01e2cik3-ikqy4cjnr5aei6-kn7e
27. B2-a3ejy4aktw5aenry6eik7/S2-ek3-cin4-jqz5acenq6cn78
28. B2k3-ekqy4qwz5-iknr6ei7e/S1e2-ce3ceir4aciz5-ijnr6in8
29. B2cn3-ijkq4-anrty5acikn6ac7c8/S2-k3cjkn4cryz5cijkn6cik7
30. B2cen3cejkr4cikrz5ay6-ae/S2ei3ejn4eknrwy5-ejkr6ack7e8
31. B2-ak3eknr4eijnry5ceikq6-cn7e8/S012ekn3inry4-acej5jn6-ak78
32. B2ce3aijy4acknwy5aciky6-ae/S02cek3cinqr4-certy5jknr6acn
33. B2ci3aeinr4-acijq5cen6-an/S2-in3-ijkr4-ijnrt5kqr6-ei7c
34. B2en3-ar4anty5aijkn6a/S1c2cen3acery4cjnrtwy5-ijqy6ack7e8
35. B2-ae3-k4ackqw5-ikqr6-ai7e/S02ik3-knq4iqrtyz5cnqy6ci8
36. B2en3aciqy4-aeit5ejnr6ein7e/S02-a3-aikn4-anrw5cekn6ci7e
37. B2-an3-ajq4ikny5ciqry6-k7/S01c2ein3aijkq4ejkrz5-ace6-in8
38. B3-ckn4ceryz5cijry6an7/S012n3-ejkq4aeiqwy5eijq6-ce7e
39. B2-an3iknry4ceijrwz5cejqy6-ce7c/S01c2-ik3-cjr4knw5cj6an7e
40. B2in3-ekq4knrtwyz5-ijqy6-e7e8/S01e2-ik3anr4-cekny5aekry6-e7c8
41. B2ce3acjry4ijtw5ejkny67c8/S1e2-ei3-jkry4ejknrty5-aejr6-ck
42. B2cek3cky4cektwz5qr6ckn7/S01c2aen3-eir4-aiqz5-acy6e
43. B2e3-ckn4ijnqz5aciry6ei8/S1c2aci3-jnqy4-acntz5-enqy6-ae7c8
44. B2-ai3ainqy4cknr5aciky6aci78/S1c2cik3anqy4eijkqrz5-ceqy6-kn7e
45. B2cek3-eiqy4ckrwz5-kqr6cei7e8/S01c2aci3ir4cz5-aeiq6ein7e8
46. B2ci3ackr4aceqrw5cjqy6kn8/S12-ek3ejky4acknw5enqy6eik7c8
47. B2ei3iqy4iknqrwz5ain6ekn7c8/S01c2cin3aciy4-jnqz5-eiy6akn7c8
48. B2ckn3-ijr4cinqtw5ijknr6aei7/S1e2en3-eknq4ajkqtyz5-cqry6an7
49. B2ce3-en4cjknrwy5-ekny6aci7c8/S02-an3kq4ackq5-cnqy678
50. B2ik3-nqr4-jntyz5-ekqr6ac7e8/S012ein3ck4aceknyz5aciny6ei7
51. B2cek3cky4ikntz5-jqr6ace/S2-n3ejkn4-aqrtz5aejkq6cik7e
52. B2-an3ejkqy4act5-iqy6-ce7c8/S01e2-en3cknry4ekntw5ijknr6ck7e
53. B2-a3acejr4-anwz5-anry6-an7c8/S12aei3-jn4aijntwz5-eiqr6aen78
54. B2eik3-ackn4acir5aij6-ci78/S2ain3-ei4-eikz5cijr8
55. B2-ai3ejkry4cijntwy5acekr6cek7c/S12ce3q4-cnw5-aekn6ce7e8
56. B2ik3-cej4-nrwy5ajn6in7c/S01e2ak3cei4aijkty5-ejnr6cin8
57. B2eik3-knry4-cjnz5ej67e8/S1c2an3anqr4eikrwyz5cjkq6ain7e
58. B2ei3-ejky4-cknry5ceijq6-in7/S2-e3ain4aijknqz5-cij6-ci7e8
59. B2-ak3acij4ekqrtw5-cqry6-k/S012-ck3-knr4acijqry5-ejr6-cn
60. B2ci3-cjkq4-aikqt5aeny6ae78/S2ac3cjkqr4ikqw5ijkqy6-ak7c8
61. B2-ak3ceir4aejky5-ekq6-a78/S01e2cin3-ijqr4aciry5-cky6ack78
62. B2ekn3-aknr4anz5ceij6i7e8/S02ei3-ce4-nqty5aejn6ae8
63. B2cn3-k4ajnqrwz5ciq6a7c/S012k3-cnr4-aiqr5aeir6ci8
64. B2ei3ijknr4aejnqrw5einr6ae7e/S012ekn3ekqy4cijnw5jnq6-e7c
65. B2ekn3-ceqr4ceinrtw5-ceir6-ei78/S02-in3ainq4aez5-cqry6-kn78
66. B2cen3-ajnr4-jqwyz5aij6-cn8/S01c2ae3-aeqr4ejknrz5n6ei7
67. B2ekn3ijnry4aijnwyz5cq6ac7c8/S012eik3-ckqr4aejknt5aceqr6-cn
68. B2cek3cein4ikw5-cik6kn7c/S12eik3-ae4-acenw5acjkn6aek7
69. B2ce3ajnry4-acekr5-k6ac7e/S02aen3ciy4ajknrtz5enry6-ek8
70. B2cen3aciqr4aekty5-cn6acn7e8/S01e2cei3cnq4ceknq5-aeqr6cek78
71. B2-ak3ae4-ceyz5-ciq6-ci/S01e2ac3-cej4-cejnr5-anqy6akn7e8
72. B2-ak3acqr4eijz5-aiky6-ac78/S012eik3-acnq4rtwy5ijnq6-ei7
73. B2cei3ijry4ainy5iqy6-ek7e/S01c2ik3-jny4-cijnq5-eikq6ak7c8
74. B2i3-qr4-inqy5ikqry6ae78/S12in3-acry4cjktwyz5aejk6ck8
75. B2-ai3ajnry4aint5ainqy6-a7e8/S1c2aci3aijkr4ceintw5inqy6-ac7
76. B2-an3aeikq4acey5-jry6-ck7c/S2ekn3aein4airtw5ejny6ain7c
77. B2k3-ckry4eijknty5-eknq6in78/S012ace3cnqy4ijnry5cnqry6-ce7c
78. B2in3aiq4cijtz5ceij6ack7c8/S01e2ik3aijy4jkw5-acq6ck7e8
79. B2kn3aijn4acjqtw5einqy6ik7c8/S2ack3-ij4cknrtw5cijr6e7c
80. B2c3-cer4jnwz5aekn6-ce7e/S2c3-ckqr4-ejrwz5eijnq6cn8
81. B2ck3aiknr4aiknqtw5eijqr6ac7e/S2cin3aknqy4cijtwyz5acej6-ik7c8
82. B2ce3-cjnq4-cijqz5-aejn6i7c8/S01e2cn3aeiry4acjnqwz5aijny6cek7c
83. B2cen3-acq4ntwz5acejq6-ik7/S01c2kn3-qry4-aijtw5-eijq6ai7c8
84. B2-an3-knq4aciknt5eijry6aci8/S12ck3-ckqy4eknqrw5einq6aik7e8
85. B2e3-nq4-aekt5aenry6-i8/S1e2ck3acekq4aijkqwy5-aqr6ac8
86. B2cei3-knqy4cjkyz5-j6k7c/S2ack3jknqr4ajnrt5jknry6-an7c8
87. B2cei3aeky4-enty5acijr6-k7e8/S012ikn3anqr4-ajkz5cjkn6-ac78
88. B2cek3eky4-ikr5acjky6-in8/S2-ae3iny4acenwyz5-eiqy6-ae7c8
89. B2ei3-ckr4jknrtwy5ceikr7e/S1e2e3-cin4-aejqw5-aqr6acn
90. B3aijkq4-cnrt5nqr6-k78/S023acenq4ijqtwz5-ein6ace7c8
91. B2-ac3-cknq4eijky5cenry68/S01c2cei3jknq4jkqrtz5ckq6in
92. B2ci3-jqry4aijkrwz5aceik6ekn8/S02-ck3-cijk4-cjnr5-ijky6ei7c8
93. B3-ekr4aeqrtwz5-eikq6-i7c/S01e2a3-ack4aijtz5aijqy6-ac
94. B2c3-jnqy4ckqwyz5cenq6cei7/S1e2-ik3aejkq4-kyz5-ejnr6-kn
95. B2-ae3-jn4cjkqrtz5-ae6-cn8/S01e2ein3aejny4inrwy5ijqry6-i8
96. B2c3aekry4-ejqty5acij6-ce7c/S012cen3anqr4ceiqrt5-akq6ac7
97. B2k3-cenr4cikrtw5ajny6ae8/S1c2i3-cjk4aeijnz5-ary6-ei7c
98. B2-ak3acnqy4ajw5-ky6aei7e/S12-c3ejkny4-n5cijq6-cn
99. B2-ak3-ajny4-aekrt5ackr6ack7c/S3-ae4-ejnrw5cjq6aek78
100. B2ein3-cnqr4inrwyz5eiy6ain/S01c2e3-aejr4-ijnw5acek6cei8

The ones that look to be apgsearchable are numbers 9, 24, 26, 28, 29, 30, possibly 31 on certain symmetries, 34, 36, 38, 42, 46, 47, 51, 60, 74, 80, 88, 97, 99, and 100. In other words, our preliminary results indicate that about 1/5 of all non-relativistic rules are apgsearchable.

Some of the explosive ones still have interesting properties — for example, 72 has a tiny wickstretcher and an interesting texture to its chaos; and 91 fills space with checkerboard. I think 59 has no spaceships.

[toroidalet]

Here are some low-period oscillators in rule 1 (left to right, p2,3,4,5,9,12,14,36):

Code: Select all

x = 73, y = 18, rule = B2-ak3eqry4aciw5-akr6-a7e/S012aik3ry4rwyz5ekqry6n7c8
69bobo$68bo3bo$2b2o4b2o6bo8bo20b2o7bo13bobo$bo8bo5bo18bobo9bo$bo7bo8bo
4bo3bo6bo3bo14b2o$35bobo9bo$25bo20b2o6bo2$bo6bo$2obo4bo$bo5bob4o3bo10b
o40b2ob2o$3bo4bo8bo50bo3bo$8bo9bo$23b2ob2o2$bo5bo$o7b2o17bo$2bo7bo!

A small c/2 wickstretcher:

Code: Select all

x = 7, y = 6, rule = B2-ak3eqry4aciw5-akr6-a7e/S012aik3ry4rwyz5ekqry6n7c8
3bo$b5o$3bo$bobobo$ob3obo$o2bo2bo!

A c/3 wickstretcher and ship:

Code: Select all

x = 53, y = 52, rule = B2-ak3eqry4aciw5-akr6-a7e/S012aik3ry4rwyz5ekqry6n7c8
$8bo4bo$7b2o4b2o$6b2ob4ob2o22bo$5bo2bo4bo2bo18b2obob2o$5bob8obo16b3ob
3ob3o$5bobo6bobo18bo2bo2bo$5bo2bo4bo2bo$5b12o16bo4bo4bo$10b2o20b2ob3ob
3ob2o$8b2o2b2o20b2o2bo2b2o$5bobobo2bobobo14bo2b9o2bo$5b2o8b2o14b6obob
6o$8b2o2b2o21bo2bo2bo$10b2o22bo7bo$8bob2obo20b4ob4o$7b2o4b2o19bo7bo$6b
3ob2ob3o19bobobobo$5bobobo2bobobo15bo5bo5bo$7b2ob2ob2o19bo2b3o2bo$10b
2o19b4o3bo3b4o$8bob2obo17bo3bob3obo3bo$8bo4bo17bo2b2obobob2o2bo$7b2o4b
2o22b3o$8bo4bo20bo3bo3bo$10b2o19b4o7b4o$8bob2obo17bob2o7b2obo$31bo13bo
$10b2o19bo2bo7bo2bo$9b4o18bo3bo5bo3bo$31bo3bo5bo3bo$7bobo2bobo16bo13bo
$6bob6obo15bob2obo3bob2obo$8bob2obo18bo11bo$7b2o4b2o17bo11bo$34bo7bo$
31bob2o7b2obo$6bobo4bobo19bo5bo$5bobobo2bobobo17b2o5b2o$5bo3bo2bo3bo
16bob2o3b2obo$5bo3bo2bo3bo14bo2b2o5b2o2bo$5bo3bo2bo3bo15bo11bo$5bo3bo
2bo3bo17bo7bo$5bo3bo2bo3bo16b2o7b2o$5bo3bo2bo3bo16b2o7b2o$5bo3bo2bo3bo
18b2o3b2o$5bo3bo2bo3bo17b2o5b2o$33bo9bo$33b2obo3bob2o$34b3o3b3o$35bo5b
o!

[LaundryPizza03]

In rule #9, we have the following still lifes and oscillators:

Code: Select all

x = 95, y = 228, rule = B2cei3enr4ijkqwy5-qr6ci78/S01c2in3einy4-cntz5ajqy6en7e
28b2o$28b2o3$28b2o$28b2o2$50bo19bo2bo6bo$28b2o22bo8bo9b2o8b2o$28b2o10b
o10bo8b3o8b2o8b3o$53bo7bo8bo2bo8b2o$84bo$28b2o$28b2o3$28b2o$28b2o13$
20b2o2b2o2b2o$20b2o2b2o2b2o3$28b2o$28b2o$72bo9bo$51b2o7bo3bo6b2obo6b2o
bo6b2o$20b2o2b2o2b2o10b2o8b3o8b3o6b2o8b4o6b2obo$20b2o2b2o2b2o10bobo9bo
8bobo10b2o6b4o4bo3bo$41b2o8bo10b2o7bob2o6bob2o6bob2o$64bo8bo9bo8b2o$
20b2o$20b2o3$20b2o2b2o2b2o$20b2o2b2o2b2o13$20b2o2b2o2b2o$20b2o2b2o2b2o
3$28b2o$28b2o$46bo$41bo2bo$20b2o2b2o2b2o$20b2o2b2o2b2o14bo$41bobo2$28b
2o10bo$28b2o3$20b2o2b2o2b2o$20b2o2b2o2b2o13$20b2o6b2o$20b2o6b2o3$20b2o
6b2o$20b2o6b2o3$20b2o2b2o2b2o21bobo$20b2o2b2o2b2o10bobo7bobo$40b2o2$
28b2o$28b2o3$28b2o$28b2o13$20b2o2b2o2b2o$20b2o2b2o2b2o3$20b2o$20b2o$
51bobo$52bo$20b2o2b2o2b2o10bobo8bo2bo$20b2o2b2o2b2o23bo2bo$41bo13bo$
54bobo$20b2o6b2o$20b2o6b2o3$20b2o2b2o2b2o$20b2o2b2o2b2o13$14b2o4b2o2b
2o2b2o$14b2o4b2o2b2o2b2o3$14b2o4b2o6b2o$14b2o4b2o6b2o2$44bo$14b2o4b2o
2b2o2b2o13bobo$14b2o4b2o2b2o2b2o12bo3bo$43bobo$44bo$14b2o4b2o6b2o$14b
2o4b2o6b2o3$14b2o4b2o2b2o2b2o$14b2o4b2o2b2o2b2o13$6b2o2b2o2b2o4b2o6b2o
$6b2o2b2o2b2o4b2o6b2o3$6b2o12b2o6b2o$6b2o12b2o6b2o10bo$43bobo$44bo$6b
2o2b2o2b2o4b2o2b2o2b2o13bobo$6b2o2b2o2b2o4b2o2b2o2b2o3$14b2o12b2o19bo$
14b2o12b2o3$6b2o2b2o2b2o12b2o$6b2o2b2o2b2o12b2o13$2o4b2o2b2o2b2o4b2o2b
2o2b2o$2o4b2o2b2o2b2o4b2o2b2o2b2o2$49bo$2o4b2o6b2o4b2o6b2o$2o4b2o6b2o
4b2o6b2o$40bo$43bobo$2o4b2o6b2o4b2o2b2o2b2o14bo$2o4b2o6b2o4b2o2b2o2b2o
13bobo3$2o4b2o6b2o4b2o6b2o22bo$2o4b2o6b2o4b2o6b2o2$43bo$2o4b2o2b2o2b2o
4b2o2b2o2b2o$2o4b2o2b2o2b2o4b2o2b2o2b2o!

While apgsearch found no spaceships, qfind found several. I am also currently searching for c/4d with LLS.

Code: Select all

x = 298, y = 53, rule = B2cei3enr4ijkqwy5-qr6ci78/S01c2in3einy4-cntz5ajqy6en7e
22b2o4b2o2b2o2b2o$22b2o4b2o2b2o2b2o114b2o4b2o2b2o2b2o64b2o4b2o6b2o34b
2o4b2o2b2o2b2o$152b2o4b2o2b2o2b2o64b2o4b2o6b2o34b2o4b2o2b2o2b2o2$20b2o
14b2o$20b2o14b2o112b2o14b2o62b2o6b2o6b2o32b2o6b2o$150b2o14b2o62b2o6b2o
6b2o32b2o6b2o2$2o2b2o2b2o8b2o8b2o2b2o2b2o$2o2b2o2b2o8b2o8b2o2b2o2b2o
92b2o2b2o2b2o8b2o8b2o2b2o2b2o42b2o2b2o2b2o8b2o8b2o2b2o2b2o12b2o2b2o2b
2o8b2o8b2o2b2o2b2o$130b2o2b2o2b2o8b2o8b2o2b2o2b2o42b2o2b2o2b2o8b2o8b2o
2b2o2b2o12b2o2b2o2b2o8b2o8b2o2b2o2b2o2$2o14b2o10b2o$2o14b2o10b2o100b2o
14b2o18b2o42b2o14b2o18b2o12b2o14b2o18b2o$130b2o14b2o18b2o42b2o14b2o18b
2o12b2o14b2o18b2o2$2o2b2o2b2o4b2o12b2o2b2o2b2o$2o2b2o2b2o4b2o12b2o2b2o
2b2o92b2o2b2o2b2o4b2o12b2o2b2o2b2o42b2o2b2o2b2o4b2o20b2o12b2o2b2o2b2o
4b2o12b2o2b2o2b2o$130b2o2b2o2b2o4b2o12b2o2b2o2b2o42b2o2b2o2b2o4b2o20b
2o12b2o2b2o2b2o4b2o12b2o2b2o2b2o11$7bo12bo23bo20bo2bo15b2o4b2o16bo25b
2o6bo9bo8bo11bo12bo26bo17bo31bo7bo$5bob2o12b2o2bo39bo2bo38b3o24bo7b3o
5b3o7b2o5bo5b2o11bo25bo3bo45bo9bo$bo2b2obo14bo2b2o17bobo17bob2obo11bo
3bo4bo3bo38bobo6bo3b3o3bo8bobo3bo3bobo9bo2bo2bo21bo2bo15bobo29b4o3b4o$
2bob4o13bo2bo17bobob2o13b2o3b2o3b2o9bob3o2b3obo14bo25bobo7bob3obo10bo
3b2ob2o3bo8bo2b3o2bo20b2obobo13b3o29b2o7b2o$obobo2bo12b3ob2o19bob2o15b
6o12bo10bo10b4ob4o21b2o6b2ob5ob2o7bobo9bobo36b2o2bo17bo28bo9bo$2bobobo
18bo17bo2bo14bo2b2o2b2o2bo8bobobob2obobobo38bob2o6b2obobob2o9bo3bo3bo
3bo7b2o3bo3b2o20bo18bobo27bobo7bobo$5bo16b3obo17b4o14b4o2b4o10b2o2bo2b
o2b2o12bo3bo19b3ob2o9bobobo14b7o10bo4bo4bo21b2o18b2o26b2ob2o3b2ob2o$
21bo3bo2bo13bob2o17bo6bo12bobo4bobo12bobobobo18b3o2bo8bobobobo13b2o3b
2o11bo2bobo2bo41b2o28bo2bo3bo2bo$21b3ob4o13b2o18bo2bo2bo2bo12b2ob2ob2o
13b3ob3o18bo3bo8bo7bo11bo7bo10bobo3bobo21bobobo17bo27b2o3bo3b2o$20bobo
3bo2bo10b2obobo16b2o6b2o12bobo2bobo38b3o3bo9bobo15b2obob2o12bobobobo
22bo3bo15bobo28b2obobob2o$25bo2bo11b6o15bob2o4b2obo8bobobo4bobobo9b3o
3b3o17bobo3b2o3b3o2bobo2b3o13bo14bo2b3o2bo20bob3obo43bo11bo$25b3o12b2o
b4o15bo8bo8b2o12b2o6b4obobob4o16b2obobo5bo9bo32b3o23b7o45bob5obo$24bob
o13b3o37bob2o8b2obo7bob3ob3obo22bo4bobo7bobo12b3o14b2obob2o24bo16bobob
o25bobobobobobobo$40bo3bo17bo8bo8bob2o8b2obo5b2o4bobo4b2o19bobo29bo46b
o16bo3bo26b4o3b4o$41bo3bo18b2o2b2o11bo12bo5b5o2b3o2b5o19bo29bobo13bobo
3bobo22bobo14bob3obo25b2o3bo3b2o$42bobo2bo12bo2b8o2bo9bo8bo8bob2o7b2ob
o114b7o26b3o3b3o$43bob4o11bo2bob4obo2bo11b2o2b2o12bobo5bobo119bo30b3ob
3o$45bobo13b2obob2obob2o8bo2b8o2bo9bob2ob2obo120bo32b3o$46bo17b2o2b2o
11bo2bob4obo2bo12bobo122bobo32bo$61bo2b2o2b2o2bo9b2obob2obob2o6b3o3bo
3bo3b3o$62bobo4bobo13b2o2b2o10bob3o5b3obo$63bo6bo11bo2b2o2b2o2bo7b2ob
2o5b2ob2o$83bobo4bobo7bobobobo3bobobobo$84bo6bo9bo3bo5bo3bo!

[LaundryPizza03]

A small c/2 wickstretcher:

Code: Select all

x = 7, y = 6, rule = B2-ak3eqry4aciw5-akr6-a7e/S012aik3ry4rwyz5ekqry6n7c8
3bo$b5o$3bo$bobobo$ob3obo$o2bo2bo!

Nice! c/2 spaceship:

Code: Select all

x = 9, y = 6, rule = B2-ak3eqry4aciw5-akr6-a7e/S012aik3ry4rwyz5ekqry6n7c8
3bobo$2bo3bo$b3ob3o$bobobobo$bo5bo$obo3bobo!

2 c/4o's:

Code: Select all

x = 17, y = 17, rule = B2-ak3eqry4aciw5-akr6-a7e/S012aik3ry4rwyz5ekqry6n7c8
13bo$2b2o$4bo7b2o$2bo11bo$3b2o9b3o$3bo8bobobo$3bo6bo2bo2bo$2b2o6bo5bo$
10bo5bo$bobo6bo2b2obo$3o7bo5bo$o9bo$o9bo3bo$o2bobo4bo2bo$4b3o4bo$2bob
2o6b2o2bo$5bo7bobo!

[AforAmpere]

Rule #1 has a lot of things:

Code: Select all

x = 269, y = 124, rule = B2-ak3eqry4aciw5-akr6-a7e/S012aik3ry4rwyz5ekqry6n7c8
3bobo11bo4bo13bo3bo12bo14bo12bobo14bo17bo16bobobobo9bobo6bobo36bo4bo
13bo3bo14bo3bo10bo3bo11bo$2bo3bo9b2o4b2o9b4o3b4o8bo2bo10bo2bo11bobo12b
obobo14b3o14b2obobob2o8bobo6bobo35b2o4b2o11b2o3b2o12b2o3b2o8b2o3b2o8bo
bobo$b3ob3o7b2ob4ob2o8b2o2bobo2b2o9bo14bo11bo3bo12bobo16bo18b3o11bo10b
o34b2ob4ob2o10b2obob2o13bobobo10bobobo10bobo$bobobobo6bo2bo4bo2bo7bo3b
obo3bo9b3obobo2bobob3o9bo7bo11bo16bobo18bo57bo2bo4bo2bo7b2o2b3o2b2o10b
ob3obo8bob3obo10bo$bo5bo6bob8obo7b2o7b2o11b2o2b4o2b2o12bo5bo12bo14bo5b
o14bobobo11bobo4bobo34bob8obo8bo7bo10b3o3b3o6b3o3b3o9bo$obo3bobo5bobo
6bobo6b2o3bobo3b2o13bo4bo48bobo3bobo12bo5bo9b4ob2ob4o33bobo6bobo8b4ob
4o13bobo12bobo$14bo2bo4bo2bo7bobo2bo2bobo12bobob2obobo32bo12bo2b2ob2o
2bo11b3ob3o9bobob4obobo33bo2bo4bo2bo10bobobo14bobobo10bobobo11bo$14b
12o8bob5obo12bob8obo31bo12bo2b5o2bo13b3o13bo2b2o2bo35b12o9bo2bo2bo15bo
14bo13bo$19b2o13bob5obo13bob2o2b2obo30bo3bo14bobo16b5o14b4o42b2o13b3ob
ob3o9b2o3bo3b2o4b2o3bo3b2o6bobobo$17b2o2b2o9b3o2b3o2b3o13bob2obo33b3o
14bo3bo14bo2bo2bo11bo2b2o2bo38b2o2b2o13bo3bo15bobo12bobo10bo3bo$14bobo
bo2bobobo8bo7bo10bo3b3o2b3o3bo43b2o5b2o10bo2b5o2bo12b2o38bobobo2bobobo
10bobobo13bo5bo8bo5bo8bo3bo$14b2o8b2o27bo5b4o5bo26bo5bo30bo2b3o2bo13b
2o38b2o8b2o10bobobo16bo14bo11bo3bo$17b2o2b2o30bob2o8b2obo24b2o2b3o2b2o
8bo3bo3bo11b9o12bo2bo40b2o2b2o15bo18bo14bo11bo3bo$19b2o32bo14bo25bo7bo
10bo2bo2bo12b3obob3o58b2o13bo2b3o2bo11b7o8b7o8bo3bo$17bob2obo30bo2b4o
2b4o2bo26b2o3b2o11b7o16bo60bo4bo12b2o3b2o15bo14bo11bo3bo$15bo3b2o3bo
30b4o4b4o47bo3bo14bobobobo57b2o2b2o15bo16b5o10b5o9bo3bo$16bobo2bobo31b
4o4b4o30bobo14bo3bo14bo5bo56bo6bo29bo3bo3bo6bo3bo3bo7bo3bo$15bo8bo31bo
8bo32bo35bobobo57b2o4b2o12bo3bo12b2o5b2o6b2o5b2o7bo3bo$56bo8bo48b5o16b
3o57bob2o2b2obo12bobo$53bob3ob4ob3obo44b3ob3o14b5o54bobob6obobo7bo3bo
3bo13bobo12bobo$53bo2b2o6b2o2bo45b5o15b2ob2o54b2ob3o2b3ob2o6b11o11bo3b
o10bo3bo$55bobo2b2o2bobo49bo19bo57b5o2b5o7bo2bobobo2bo11bo3bo10bo3bo$
55b2o3b2o3b2o47bobobo17bo61bo2bo12b2ob3ob2o13bobo12bobo$53bob2ob2o2b2o
b2obo45bobobo79bo2bo14b5o15bobo12bobo$52bobo2bo6bo2bobo41bo2b2ob2o2bo
76bo2bo12b3obob3o12bo3bo$55b2o8b2o45b4ob4o14bobo60bo2bo13bo2bo2bo12b2o
3b2o11bo$53b2o12b2o41b3o2bobo2b3o9b3o3b3o57bo2bo14bobobo12b2obobob2o$
57bo6bo45bobo2bobo2bobo10b3ob3o58bo2bo15b3o14b7o10bobo$56bo2bo2bo2bo
44b2obobobobob2o8b5ob5o56bo2bo15b3o14b2obob2o9bobobo$53b3o2bo4bo2b3o
42bo9bo12bobobo76b7o10bob2obob2obo7bo3bo$57bo6bo71bo78bob3obo10b2o3bo
3b2o7bo3bo$52bobo3bo4bo3bobo64bobobo75bobo3bobo14bo12bo3bo$53bobo3bo2b
o3bobo64b3ob3o76bo3bo16bo12bo3bo$54bo3bo4bo3bo66b2ob2o75b2obobob2o14bo
12bo3bo$53bo5bo2bo5bo67bo80b3o30bo3bo$57b2ob2ob2o69bobobo79bo31bo3bo$
56bo2bo2bo2bo65bo2bobobo2bo75b3o30bo3bo$54b2o3bo2bo3b2o63bo2bo3bo2bo
75bobo30bo3bo$54bo3bob2obo3bo65b2obob2o77bobo30b2ob2o$54b2obo2b2o2bob
2o64bobo3bobo74b3ob3o26bo7bo$132b2ob3ob2o73bo2bobo2bo24bobobobobobo$
54b4o2b2o2b4o64bobo3bobo74bo5bo30bo$53bobo4b2o4bobo63bo3bo3bo74bo5bo
28b5o$53bo2bo2bo2bo2bo2bo64bobobobo75b3ob3o27b7o$53b3ob2o4b2ob3o66bobo
77bobobobo26b9o$53b3o2b2o2b2o2b3o182b3o$52bobobo2b4o2bobobo62bobobobob
o72bo2b5o2bo26b2ob2o$53b2o2b3o2b3o2b2o64b7o73bo2b5o2bo25b2o3b2o$53b2o
2b2o4b2o2b2o62b3ob3ob3o71bo2b5o2bo27b3o$131bo2bobobo2bo71bo2bobobo2bo$
57bo6bo148bo4bo4bo$55b4o4b4o66b2o3b2o73bo3b3o3bo$55bobo6bobo65b2o2bo2b
2o72bobo2bo2bobo$57bo6bo68b2obob2o73bob2o3b2obo$55bobo6bobo65bo3bo3bo
72bo9bo$56bo8bo65b2o2bobo2b2o71bo9bo$57bo6bo67bobobobobo72bo9bo$54b2o
10b2o67bobo75bo9bo$54bo12bo66bo3bo74bo9bo$53b2o3bo4bo3b2o63bobo3bobo
72bo9bo$53b2o3b2o2b2o3b2o66bobo75bo9bo$55b2o8b2o67bobobo74bo9bo$57b2o
4b2o69bobobo74bo9bo$55bo2bo4bo2bo146bo9bo$53b3o3bo2bo3b3o65bo3bo74bo9b
o$59bo2bo150bo9bo$54b3o2bo2bo2b3o145bo3bobo3bo$55bo3bo2bo3bo68b3o75bo
2bo3bo2bo$59bo2bo150bo9bo$54b2o3bo2bo3b2o145bobo2bo2bobo$53bobo10bobo
144bo3bobo3bo$52bo2b2obob2obob2o2bo145bob3obo$59bo2bo151b2o5b2o$56bob
2o2b2obo149bob3obo$57b2o4b2o150b2o3b2o$55b3o6b3o149b2ob2o$58bo4bo154bo
$215bo2bo2bo$59b4o154b3o$57bo2b2o2bo150bo5bo$57b2o4b2o149bo2b3o2bo$56b
2o6b2o148bo7bo$55b2o3b2o3b2o148bobobobo$56bo3b2o3bo149bo2bo2bo$59bo2bo
153b5o$57bobo2bobo151b5o$55b12o148b7o$55b2o8b2o149b5o$57bo6bo152b3o$
57b2ob2ob2o152bobo$57b2o4b2o152b3o$60b2o154b5o$55b2obob2obob2o148bo2bo
2bo$214bo3bo3bo$55bo2b2o2b2o2bo149bo3bo$54b4o2b2o2b4o146b2o2bo2b2o$54b
ob10obo147bo5bo$56bo2b4o2bo150bo3bo$53b2o3b2o2b2o3b2o149bo$54bo3b2o2b
2o3bo148bo3bo$54bobo2b4o2bobo147bo5bo$54bo12bo149b3o2$54bobo8bobo148bo
3bo$52bo16bo147bobo$52bo3b2o6b2o3bo146bo3bo$53bobo10bobo$56bo2bo2bo2bo
$54b2o3bo2bo3b2o$53bo4bo4bo4bo$53bo14bo$53b3o2bo4bo2b3o$53bob3obo2bob
3obo$55b2o2bo2bo2b2o$56bo2bo2bo2bo$55bo3bo2bo3bo$59bo2bo$56bo3b2o3bo$
57b2o4b2o$56bobo4bobo$58b6o$58b6o$60b2o$60b2o!

I think a 3c/8 might exist as well.

[lemon41625]

Diagonal Puffer in Rule #76

Code: Select all

x = 4, y = 4, rule = B2e3-nq4-aekt5aenry6-i8/S1e2ck3acekq4aijkqwy5-aqr6ac8
bobo$ob2o$bobo$4o!

Diagonal Puffer in Rule #32

Code: Select all

x = 6, y = 6, rule = B2ce3aijy4acknwy5aciky6-ae/S02cek3cinqr4-certy5jknr6acn
2b3o$4b2o$b2o2bo$ob2obo$3bo$2bo!

Low density symmetry for explosive rules (you need to watch apgluxe, it still might get stuck)
Adjust the parameters for your use case

Code: Select all

import random
import itertools
while True:
	LENGTH = random.randint(5, 35)
	
	print(f"x = {LENGTH}, y = {LENGTH}, rule = B2eik3ciy4ijnrtw5-ae7/S12eik3-cer4eikqry5-ekqy7c")
	for i in range(LENGTH):
		for j in range(LENGTH):
			if random.randint(1, 1000) >= random.randint(989, 1000):
				print("o", end="")
			else:
				print(".", end="")
		print("!" if i == LENGTH - 1 else "$")

Natural P6 in Rule #4

Code: Select all

x = 0, y = 0, rule = B2ekn3eiry4aertwyz5-aknr6-in8/S01c2ak3-eiy4-acntw5-er6ack7c
...o......................$
..........................$
..........................$
..........................$
..........................$
.....................o....$
..............o...........$
..........................$
..........................$
..........................$
..........................$
..........................$
..........................$
..........................$
..........................$
..........................$
..............o....o......$
......................o...$
..........................$
....................o.....$
..........................$
..........................$
..........................$
..........................$
..........................$
.o........................!

Natural c/3

Code: Select all

x = 0, y = 0, rule = B2ekn3eiry4aertwyz5-aknr6-in8/S01c2ak3-eiy4-acntw5-er6ack7c
.....................$
.....................$
.....................$
.....................$
.....................$
.....................$
.....................$
.....................$
.....................$
.....................$
.....................$
.....................$
.....................$
.....................$
.....................$
.....................$
.....................$
..............o......$
................o....$
............o........$
.....................!

Another P6

Code: Select all

x = 0, y = 0, rule = B2ekn3eiry4aertwyz5-aknr6-in8/S01c2ak3-eiy4-acntw5-er6ack7c
.......................$
.......................$
.......................$
.......................$
.................o.....$
.......................$
.................o.....$
.......................$
...................o.o.$
.......................$
.......................$
....o..................$
.......................$
.......................$
.......................$
.......................$
.......................$
.......................$
.......................$
.......................$
.......................$
................o......$
.......................!

c/4os

Code: Select all

x = 43, y = 22, rule = B2ekn3eiry4aertwyz5-aknr6-in8/S01c2ak3-eiy4-acntw5-er6ack7c
28b2obo6bob2o$12b2o8b2o3bo3bo6bo3bo$12b3o6b3o4bo2bo6bo2bo$12b4o4b4o4bo
b2o6b2obo$13bobo4bobo4b3o10b3o$28b3o8b3o$12b3o6b3o4bo2b2o4b2o2bo$12b4o
4b4o5b5o2b5o$13b3o4b3o6b2ob2o2b2ob2o$11bob2o6b2obo5b3o4b3o$13b2o2b2o2b
2o8bo6bo$12b3ob4ob3o5b5o2b5o$13b3ob2ob3o6b12o$2bobo7bo2bob2obo2bo5bob
2o4b2obo$3ob3o6bob6obo7bo2bo2bo2bo$b5o6b2obob2obob2o5b2o3b2o3b2o$2o3b
2o5b2ob6ob2o5b12o$b2ob2o6b2ob6ob2o5bobobo2bobobo$2bobo8b10o9b6o$2o3b2o
8bo4bo10b3o2b3o$bobobo8b2o4b2o8bo2bo2bo2bo$2bobo9bo6bo9bo6bo!

[LaundryPizza03]

Rule #24 is not apgsearchable in C1, but it is in D4_+4.
Firstly, all known still lives are of the following form:

Code: Select all

x = 20, y = 4, rule = B2ce3-cejq4ekqtyz5-anqy6cn7c8/S12ik3jnr4erw5kqr6-kn7
12b2o$2b2o6b2o2b2o2b2o$2o2b2o2b2o6b2o$6b2o!

Oscillator stamp collection:

Code: Select all

x = 69, y = 189, rule = B2ce3-cejq4ekqtyz5-anqy6cn7c8/S12ik3jnr4erw5kqr6-kn7
8bobobo2$12bo$34bo10bo$8bobobo10bobo7b2o8b2ob2o$33bo$8bo2$8bobobo12$8b
obobo$24bobo$12bo10bo3bo2$8bobobo11bobo$24bobo$12bo$23bo3bo$8bobobo11b
obo11$66bo$8bo3bo42bo2bo5bo3bo$54b2o2b2o5bobo$8bo3bo23bo8b4o7b2o$44bo
4bo4bo4bo4b2ob2o$8bobobo10bobo7b5o6bo4bo15bobo$23b2o19bo4bo15bobo$12bo
21bo9bo4bo4bo4bo4b2ob2o$45b4o7b2o$12bo41b2o2b2o5bobo$55bo2bo5bo3bo$66b
o10$8bobobo2$8bo17b2o5bo$25b4o5b2o$8bobobo11bo4bo6bo$25b4o7bo$12bo13b
2o9bo2$8bobobo12$8bobobo2$8bo$26bo9bo$8bobobo10bobo7b2ob2o$34bo$8bo3bo
12bo2$8bobobo12$8bobobo2$8bo3bo11bo2bo$25b2o$8bobobo11bo2bo$24bo2bo$8b
o3bo12b2o$24bo2bo$8bobobo12$4bo3bobobo2$4bo3bo3bo11bobo$23bo$4bo3bo3bo
$27bo$4bo3bo3bo11bobo2$4bo3bobobo12$4bo3bobobo$34bo$4bo7bo12b3o6bo$24b
o8b2o$4bo3bobobo11bo12bo$24bo9bo2bo$4bo3bo27bo2$4bo3bobobo12$4bo3bo3bo
2$4bo3bo3bo11b2o5b2o2$4bo3bobobo12bo5bo2$4bo7bo11b2o5b2o2$4bo7bo12$obo
bo3bobobo2$4bo7bo14bo2$obobo3bobobo13b3o$23b2o$o7bo2$obobo3bobobo!

There are two natural ships, a 3c/6o and a 2c/14o:

Code: Select all

x = 25, y = 12, rule = B2ce3-cejq4ekqtyz5-anqy6cn7c8/S12ik3jnr4erw5kqr6-kn7
bo7bo14bo$2o7b2o$24bo$b2o5b2o10b3o$23bo$3b2ob2o12b3o$2bo5bo$4bobo$4bob
o$4bobo$4bobo$5bo!

Two linear-growth patterns have been found, both of which are c/2o puffers with periods 180 and 972. The latter is more common.

Code: Select all

x = 32, y = 32, rule = B2ce3-cejq4ekqtyz5-anqy6cn7c8/S12ik3jnr4erw5kqr6-kn7
bob2o4bob2obo2bob2obo4b2obo$obo2b2obob12obob2o2bobo$ob4ob2o3b2o4b2o3b
2ob4obo$ob4ob2obo2b6o2bob2ob4obo$2b2o2bo2b2obo6bob2o2bo2b2o$b2o6bo2bob
4obo2bo6b2o$bob2o2b2obo3b4o3bob2o2b2obo$8ob2ob2o4b2ob2ob8o$8o2b2ob2o2b
2ob2o2b8o$b3obob2obob2o4b2obob2obob3o$ob2o3bob2obo2b2o2bob2obo3b2obo$b
6o2b4ob4ob4o2b6o$bobo4bo6b2o6bo4bobo$b5o2b4ob6ob4o2b5o$o2bob2o2bo3bo4b
o3bo2b2obo2bo$4b2o2bo4b6o4bo2b2o$4b2o2bo4b6o4bo2b2o$o2bob2o2bo3bo4bo3b
o2b2obo2bo$b5o2b4ob6ob4o2b5o$bobo4bo6b2o6bo4bobo$b6o2b4ob4ob4o2b6o$ob
2o3bob2obo2b2o2bob2obo3b2obo$b3obob2obob2o4b2obob2obob3o$8o2b2ob2o2b2o
b2o2b8o$8ob2ob2o4b2ob2ob8o$bob2o2b2obo3b4o3bob2o2b2obo$b2o6bo2bob4obo
2bo6b2o$2b2o2bo2b2obo6bob2o2bo2b2o$ob4ob2obo2b6o2bob2ob4obo$ob4ob2o3b
2o4b2o3b2ob4obo$obo2b2obob12obob2o2bobo$bob2o4bob2obo2bob2obo4b2obo!

Code: Select all

x = 32, y = 32, rule = B2ce3-cejq4ekqtyz5-anqy6cn7c8/S12ik3jnr4erw5kqr6-kn7
2b2o2bob2o2bobo2bobo2b2obo2b2o$obo2bo2b2o3bo4bo3b2o2bo2bobo$4bo2b3o4bo
2bo4b3o2bo$obob3ob5ob4ob5ob3obobo$bob8o10b8obo$3ob3o2bo12bo2b3ob3o$ob
2o6b4o4b4o6b2obo$bo2b2obob3obo4bob3obob2o2bo$3o2bobo3bobob2obobo3bobo
2b3o$b5o3bobob6obobo3b5o$ob4ob3obob6obob3ob4obo$2o3b2obobo3bo2bo3bobob
2o3b2o$bo6b3ob8ob3o6bo$2b2o4b5o2b2o2b5o4b2o$5bo7b6o7bo$3ob3ob2o2bo2b2o
2bo2b2ob3ob3o$3ob3ob2o2bo2b2o2bo2b2ob3ob3o$5bo7b6o7bo$2b2o4b5o2b2o2b5o
4b2o$bo6b3ob8ob3o6bo$2o3b2obobo3bo2bo3bobob2o3b2o$ob4ob3obob6obob3ob4o
bo$b5o3bobob6obobo3b5o$3o2bobo3bobob2obobo3bobo2b3o$bo2b2obob3obo4bob
3obob2o2bo$ob2o6b4o4b4o6b2obo$3ob3o2bo12bo2b3ob3o$bob8o10b8obo$obob3ob
5ob4ob5ob3obobo$4bo2b3o4bo2bo4b3o2bo$obo2bo2b2o3bo4bo3b2o2bo2bobo$2b2o
2bob2o2bobo2bobo2b2obo2b2o!

c/3o in #26:

Code: Select all

x = 3, y = 6, rule = B2-ak3ei4cijnwyz5aqy6ein78/S01e2cik3-ikqy4cjnr5aei6-kn7e
2bo2$b2o$3o$obo$bo!

p2, p3, p4, p4, p4, p6, p7, p18:

Code: Select all

x = 66, y = 8, rule = B2-ak3ei4cijnwyz5aqy6ein78/S01e2cik3-ikqy4cjnr5aei6-kn7e
9bo$6bo2bo12b3o14bo8bo3bo12bo$3o20b2o6bobo15bobo$b2o5bo4bobobo5b2o4b2o
3b2o5bo21bo$2bo5bo13b3o7bo9bo6bobo$48bo3bo9bo2$60bo!

[Layz Boi]

A small osc collection in Rule #55 (edit: added some margolas-style osc)

Code: Select all

x = 78, y = 141, rule = B2-ai3ejkry4cijntwy5acekr6cek7c/S12ce3q4-cnw5-aekn6ce7e8
3b3o14bo4b3o6bo4bo5b2o3bo6bo7bo7b2o$5bo8bobo2bo2bo2b2o6bobo2bob2o2b3o
2bo7b2obo5bo5b4o$3b3o14b3o2bo2bo3b2o5b3o4bo5bo2b4o6bo5bo4bo$3bo16b3o4b
o3b3o5b3o4bo4bo4b2ob2o4bo4b2o4b2o$3b3o25b3o10b3o11b4o3b3o2b2o4b2o$45b
2o9bob2o5b2o4bo4bo$59bo12b4o$73b2o4$3b3o8bo$5bo7b4o$4b2o7b4o$5bo9bo$3b
3o6$37bo$3bobo9bo4b2o5b2o$3bobo13b4o3b3o6bobobo$3b3o7b3o3b4o2b3ob2o$5b
o7b2o5b2o3b2ob3o4bobobo$5bo5bobo13b3o$27b2o6bobobo2$37bo6$3b3o17bo$3b
o11bo5b3obo$3b3o7b3o4bo3bo5bobobo$3bobo7bo5bob3o$3b3o8bo6bo8bobobo13$
17bobobobobo2$15bobobobobobobo$3b3o$3bobo7bo3bobobobobo3bo$3b3o$3bobo
5bobobobobobobobobobobo$3b3o$13bo3bobobobobo3bo2$15bobobobobobobo2$17b
obobobobo12$3b3o$3bobo9bo9bo$3b3o$5bo9bo9bo$4b2o6bobobobo3bob3obo$15b
o9bo2$15bo9bo9$bob3o$bobobo9b3o$bobobo7bob3o$bobobo6bo$bob3o6bo15$16b
obobobo2$ob3o11bobobobo$o3bo$ob3o7bobobobobobobobo$obo$ob3o7bobobobob
obobobo2$16bobobobo2$16bobobobo13$14bobobobobo$bobobo$bobobo8bobobobo
bo$bob3o$bo3bo8bobobobobo$bo3bo$14bobobobobo!

And the smallest infinite growth pattern I have:

Code: Select all

x = 12, y = 1, rule = B2-ai3ejkry4cijntwy5acekr6cek7c/S12ce3q4-cnw5-aekn6ce7e8
3obobobob2o!

And then some for Rule #7

Code: Select all

x = 36, y = 77, rule = B2cn3ainqy4aeijqrw5-ceiy6en7e8/S01c2-n3ciqry4ckrwy5-aen6kn7e8
6bo$4bo$2bo4bo2$8bo$6bo20bo$4bo21bobo6bo$18b4o2b3ob3o$5bo4bo15bobo4bo
$8bo18bo$6bo7$6bo$4bo$2bo4bo$20bo9bo$8bo10b3o7bo$6bo11b3o2bo4bo3bo$4b
o4bo9bo7bo3bo$26bo3bo$10bo9bo8bo$8bo19bo$6bo6$5bo2$bo4bo$20bo8bo$2bo4b
o13bo5b2o$5bo12bo3bo$3bo4bo10bo5bobo$20bo5bo$9bo9$7bo13bo$5bo13b2ob2o
$3bo4bo10b5o$18bobobobo$9bo9b5o$19b2ob2o$10bo10bo2$11bo8$o8bo$7bo$bo3b
o4bo2$2bo3bo4bo9b2o$20b3o$3bo3bo4bo6b3o$19b2o$4bo3bo4bo$11bo$9bo!

This rule explodes much easier:

Code: Select all

x = 3, y = 1, rule = B2cn3ainqy4aeijqrw5-ceiy6en7e8/S01c2-n3ciqry4ckrwy5-aen6kn7e8
obo!

[yujh]

A small osc collection in Rule #55:

Code: Select all

snip

Do you know this p6?

Code: Select all

 x = 55, y = 63, rule = B2-ai3ejkry4cijntwy5acekr6cek7c/S12ce3q4-cnw5-aekn6ce7e8
obobobo!

[FWKnightship]

Some oscillators and spaceships in Rule #89:

Code: Select all

x = 92, y = 319, rule = B2ei3-ckr4jknrtwy5ceikr7e/S1e2e3-cin4-aejqw5-aqr6acn
16b2o2b2o2$23bo$23bo3$23bo$23bo38bo$36bo7bo7bo8bobo6bo4bo$16b2o2b2o8bo
6bo5bobo5b2o6b4o6b2ob2ob2o5bobobobobo$29bo6bo7bo8bo6b2o8bo4bo7bobobobo
bo$14bo44bobo$14bo3$14bo$14bo2$16b2o2b2o7$16b2o2b2o2$23bo$23bo3$23bo$
23bo5bobobo$31bo$16b2o2b2o7b2ob2o$31bo$23bo5bobobo$23bo3$23bo$23bo2$
16b2o2b2o9$14bo8bo$14bo8bo3$14bo8bo$14bo8bo24b2o7bo13bo7bo$30bobo5bobo
6bo2bo5bob2o9b2o9bo$16b2o2b2o7b2obo6b2o16bobo8bobo8bobo$30bo7bobo6bo2b
o6b2obo8bo7b4obo$23bo15bobo6b2o9bo7bo10b2o$23bo42bo10bobo3$23bo$23bo9$
16b2o2b2o2$14bo$14bo3$14bo$14bo$31bo$16b2o2b2o7b2ob2o$31bo$23bo$23bo3$
23bo$23bo2$16b2o2b2o7$16b2o2b2o2$14bo$14bo3$14bo$14bo$29bo$16b2o2b2o8b
2o$30bobo$14bo8bo7bo$14bo8bo3$14bo8bo$14bo8bo2$16b2o2b2o7$16b2o2b2o2$
14bo8bo$14bo8bo2$70bo$14bo8bo16bo13bobo14bo$14bo8bo8bo6b2o3bo10bobo7bo
bo$29b3o6b2o2b2o12bo11bo$16b2o2b2o10bo11bo12bo7bo3bo$29bobo8bo2bo6bo
15bo$14bo8bo6bobo7bobobo6bo15bobo$14bo8bo15bobobo6bobo10bo$51bobo10bo
2$14bo8bo$14bo8bo2$16b2o2b2o7$16b2o2b2o2$14bo8bo$14bo8bo2$30bobo$14bo
8bo5bo3bo$14bo8bo8bo$29bob2o$16b2o2b2o8bo$36bo$23bo11b3o$23bo10b2ob2o$
35b3o$36bo$23bo$23bo2$16b2o2b2o7$16b2o2b2o2$9bo4bo8bo$9bo4bo8bo3$9bo4b
o8bo$9bo4bo8bo15bo$29bo8bo$30b2o7b2o$30b2o6bo$9bo4bo8bo8bo6bo$9bo4bo8b
o3$9bo4bo8bo$9bo4bo8bo2$16b2o2b2o7$16b2o2b2o2$9bo13bo$9bo13bo$29bobo5b
obo$30bo2bobo2bo$9bo13bo5bo3b3o3bo$9bo13bo$30b2o5b2o$16b2o2b2o9bo5bo$
30b2o5b2o$9bo4bo$9bo4bo14bo3b3o3bo$30bo2bobo2bo$29bobo5bobo$9bo4bo$9bo
4bo2$16b2o2b2o7$16b2o2b2o2$9bo4bo$9bo4bo2$33bobobo$9bo4bo19b2o$9bo4bo
21b2o$33bo2bo$16b2o2b2o7bo2bobo2bo$30bo2bo$9bo4bo8bo5b2o$9bo4bo8bo7b2o
$29bobobo2$9bo4bo8bo$9bo4bo8bo2$16b2o2b2o7$2b2o2b2o2$9bo4bo8bo$9bo4bo
8bo3$9bo4bo8bo$9bo4bo8bo8bo$32bo$2b2o2b2o8b2o2b2o10b3o$29b3o$o22bo7bo$
o22bo7bo3$o22bo$o22bo2$2b2o2b2o7$2b2o2b2o8b2o2b2o2$9bo4bo$9bo4bo3$9bo
4bo16bo2bo$9bo4bo15b2obobo$29b2o3bo$2b2o2b2o8b2o2b2o$30bo3b2o$o13bo8bo
5bobob2o$o13bo8bo6bo2bo3$o13bo8bo$o13bo8bo2$2b2o2b2o8b2o2b2o7$2b2o2b2o
8b2o2b2o8bobo11bobo$29bo3b2o7b2o3bo$o22bo$o22bo5bo17bo$30bo15bo$30bo
15bo$o22bo$o22bo$37bobo$2b2o2b2o8b2o2b2o$37bobo$o8bo4bo$o8bo4bo$30bo
15bo$30bo15bo$o8bo4bo14bo17bo$o8bo4bo$29bo3b2o7b2o3bo$2b2o2b2o8b2o2b2o
8bobo11bobo!

Code: Select all

x = 362, y = 222, rule = B2ei3-ckr4jknrtwy5ceikr7e/S1e2e3-cin4-aejqw5-aqr6acn
b4o7b4o10b2o9b2o41b3o44b4o12bo14b3o12bobobobo15bo3bo16bo2bobo2bo14bobo
bobo14bobobobo25bo20bo18b3o19bo$6o5b6o7bob2obo5bob2obo37bob3obo41b6o8b
2obob2o8b3obob3o8bo2b3o2bo11b4obob4o13bob2ob2obo13bo2b3o2bo12bo2b3o2bo
22b5o16b5o15b5o16b5o$o2bobo5bobo2bo7bob2obo5bob2obo38bobobo42bobo2bo6b
ob2o3b2obo5b3ob3ob3o6bo3b3o3bo8b5obobob5o8b4obobobob4o9bo3b3o3bo10bo3b
3o3bo61b2obob2o$2bob2o2bo2b2obo12bob2o3b2obo88b2o2bo7bobo2bo2bobo5bo2b
2ob2o2bo7bo3bo3bo9bo13bo10b3o5b3o12bo3bo3bo12bo3bo3bo21bobobobo14bobob
obo34bobobobo$b3o2bobobo2b3o10b13o40b2ob2o40b8o9bo3bo9b2ob3ob2o7bob2ob
ob2obo10b2o7b2o11b3o7b3o10bob2obob2obo10bob2obob2obo21bo3bo16bo3bo15bo
bobo16bo3bo$obobob5obobobo7b2ob4obob4ob2o37bob3obo37bo3bo2bo8b3o2bo2b
3o6bob5obo11b3o14b2o7b2o12b3ob3ob3o15b3o18b3o24b2obob2o14b2obob2o14bob
obo15b2obob2o$b2ob9ob2o12bobobobobo42b2ob2o39b3o4bo8b2o2bo2b2o6bob7obo
6bo2bo3bo2bo13b5o16b2o5b2o12bo2bo3bo2bo10bo2bo3bo2bo21bobobo16bobobo
14b2obob2o15bobobo$6bo3bo13bobobob5obobobo40bo40b2obo2bo2bo8bobobobo9b
o5bo11b2ob2o13b3o5b3o11bo2b7o2bo13b2ob2o16b2ob2o22b2obobob2o12b2obobob
2o11b3obob3o12b2obobob2o$b4o7b4o10b2o4bo4b2o41bobo40b2obob2o10b2obob2o
10b5o10b2o5b2o10bo3bobobo3bo15bobo16b2o5b2o12b2o5b2o21bobobobo14bobobo
bo11b3o2bo2b3o12bobobobo$25bo2bo7bo2bo85bob2ob2o7b2ob3ob2o6bo4bo4bo8b
3ob3o12b3o5b3o11b5obob5o12b3ob3o14b3ob3o20b3o2bo2b3o10b3o2bo2b3o9b3ob
3ob3o10b3o2bo2b3o$bo2bo7bo2bo10b2o4bo4b2o85b4o10b3o5b3o6b4ob4o7b2ob5ob
2o9bob3obob3obo13b3ob3o13b2ob5ob2o10b2ob5ob2o18bobob3obobo10bobob3obob
o11bo5bo12bobob3obobo$32bo89bobo2bo11bob5obo6b2ob2ob2ob2o6bo3bobo3bo
10b2o2bobo2b2o11b2o2b2ob2o2b2o10bo3bobo3bo10bo3bobo3bo17b4obobob4o8b4o
bobob4o7bo11bo8b4obobob4o$26b2o2b2ob2o2b2o84b4obobo7bo2bo3bo2bo6bobobo
bobo10bobobo12b2o3b3o3b2o14b2ob2o17bobobo16bobobo25bobo18bobo13bobo5bo
bo14bobo$26b2o9b2o83bo3bo2bo9b3o3b3o6b2ob2ob2ob2o7b2o5b2o11bobobobobob
o11bo11bo11b2o5b2o12b2o5b2o19bobo5bobo10bobo5bobo8b4o5b4o9bobo5bobo$
30b5o89bob3obo9bo2bo2bo8bo7bo7bob2o3b2obo15bo19bob3obo13bob2o3b2obo10b
ob2o3b2obo20b7o14b7o10bob4ob4obo11b7o$24b4o9b4o81b2o2b4o12bobo10bobo3b
obo8bob5obo13bobobobo37bob5obo12bob5obo19bo3b3o3bo10bo3b3o3bo9bo9bo10b
o3b3o3bo$30bo3bo20b3o6b3o13b4o16b5o21bobobo8b2o2bo2b2o8bo2bo2bo11bobob
o17b3o20bobo18bobobo16bobobo20bo2bobobobo2bo8bo2bobobobo2bo11b2ob2o12b
o2bobobobo2bo$24bo2bo4bo4bo2bo12bob3obo2bob3obo9bob4obo13b3ob3o16bo4bo
12b7o12bo12bo7bo14b2ob2o17b3ob3o14bo7bo12bo7bo20b2obobob2o12b2obobob2o
15bo16b2obobob2o$54bobobo4bobobo7bob3o4b3obo33b2ob4o2bo8bobobobo10bobo
bo9bo2bobobo2bo15bo18bo3bo3bo12bo2bobobo2bo10bo2bobobo2bo21b5o16b5o13b
2o5b2o14b5o$38b2o36b2obo4bob2o11b3ob3o19b4ob2o24b7o9b2obobob2o13b2o3b
2o13bo2b2obob2o2bo11b2obobob2o12b2obobob2o20bo3bo3bo12bo3bo3bo12bo2bo
2bo13bo3bo3bo$17b2o34b3ob2ob2ob2ob3o6b3obo4bob3o11b2ob2o20b3obo9bob5ob
o8bob3obo8bo3bobo3bo12bo5bo18bobo15bo3bobo3bo10bo3bobo3bo18b2o2b3o2b2o
10b2o2b3o2b2o10bo2b3o2bo11b2o2b3o2b2o$15bob2obo15b4o14bob2obo2bob2obo
8bobo6bobo35bobo4b2o7b9o7b2ob3ob2o12bo13bob2obo3bob2obo9b4ob3ob4o15bo
20bo24b2obobob2o12b2obobob2o10bob2o3b2obo11b2obobob2o$15bob2obo32b5o6b
5o6bo12bo9bobobobobo19bo3bo9bo2bo2bo8bo7bo12bo40b3ob3o16bobobo16bobobo
21b2obobobob2o10b2obobobob2o9b2ob5ob2o10b2obobobob2o$18bob2o14bo2bo14b
o3bo4bo3bo9b2o6b2o10bo3bobo3bo14b2obobo3bo10b3o14bo10bob3obob3obo7b2o
2bo5bo2b2o10bobo5bobo13bo2bo2bo14bo2bo2bo21bobobobobo12bobobobobo32bob
obobobo$17b3o37bo6bo13bo6bo9bo2bo7bo2bo15b2o2bo8bo9bo6bo7bo9b3ob3o12b
2o7b2o12bo2bo3bo2bo13b2obob2o14b2obob2o21b2o2bo2b2o12b2o2bo2b2o11bobob
obobo12b2o2bo2b2o$15bobo2b2o55bobo4bobo10b3obobob3o14bobo2bobo9b2ob3ob
2o6b2ob5ob2o5b2o2b5o2b2o7b4o7b4o9b3o7b3o15bo16b2ob3ob2o19b2o2b3o2b2o
10b2o2b3o2b2o11bob3obo12b2o2b3o2b2o$15bob5o34b3o4b3o10bo10bo7bobobo5bo
bobo16b2obobo6b2ob2ob2ob2o6bo3bo3bo7b3obobob3o9b4o5b4o11bo9bo16bo16b3o
bob3o20bo2bobo2bo12bo2bobo2bo12b3ob3o13bo2bobo2bo$14b2obobo38b2o2b2o
14bo6bo10bo3bo3bo3bo17bo12b4ob4o6b2ob2ob2ob2o6bobob3obobo8b2o11b2o8bob
obo5bobobo13bobo17b5o25bobo18bobo14bo2b3o2bo15bobo$13bob2obo37bobo4bob
o29bob2o7b2obo14b7o7b2obobobob2o6bo3bo3bo6bo5bo5bo10bo7bo12b5o3b5o13b
5o14b3obob3o21b3ob3o14b3ob3o13bo5bo14b3ob3o$14b4o2b2o74bobo7bobo16b2ob
2o10b3ob3o7b4o3b4o7b2obobob2o33bo11bo15bo17bob3obo22b2o3b2o14b2o3b2o
14b5o15b2o3b2o$13bo3b2o110b2o8bob5obo10bobo9b6ob6o31bo2bo5bo2bo12bo5bo
17bo26b5o16b5o15b2ob2o16b5o$14b4obobo105bo11b2ob3ob2o6b3o2bo2b3o51bobo
3bobo14bob3obo15bobobo22bo7bo12bo7bo11bo2b3o2bo12bo7bo$19bo107bo10bobo
2bo2bobo6b3obob3o6b2ob2obob2ob2o32b2o7b2o13bob3obo14b3ob3o20b3o2bo2b3o
10b3o2bo2b3o9b2o3bo3b2o10b3o2bo2b3o$14b2o3b2o108bo9bob2ob2obo6b5ob5o
49bobobo3bobobo11b3obob3o15b3o22b2obo3bob2o10b2obo3bob2o9b11o10b2obo3b
ob2o$13b2ob2ob3o105bo10bob7obo6b2o2bo2b2o6b3o7b3o11bobobobo16bo5bo15bo
b3obo14b2obob2o21bob5obo12bob5obo10b2o3bo3b2o11bob5obo$13bo2bo4bo57b5o
56bo2bo2bo8bo7bo29bo2b3o2bo13bo9bo13bobobobo14bo2bo2bo19bobobobobobobo
8bobobobobobobo9bo2b3o2bo10bobobobobobobo$13bobo62b3ob3o42b3o11bobobo
10bo5bo7bo11bo9bo3b3o3bo11bobo7bobo13b5o14bobo3bobo19b2o2b3o2b2o10b2o
2b3o2b2o8b3o2b3o2b3o9b2o2b3o2b2o$12bobo2b3o35b3o6b3o34b3o22b3o11b2obob
2o8b3o3b3o29bo3bo3bo37bo2bo2bo14bo2bo2bo20bobobobobobo10bobobobobobo8b
3o2b3o2b3o9bobobobobobo$13bob2o36bob3obo2bob3obo9b3ob3o14bob3obo21bobo
9bo2bobo2bo6b3o5b3o27bob2obob2obo10bo2bo7bo2bo12b2ob2o15b7o19b3o2bobo
2b3o8b3o2bobo2b3o8bo2bobobo2bo9b3o2bobo2b3o$12b3o2bobo34bobobo4bobobo
11b2ob2o16bobobo35bo2bo2bo7b3o5b3o31b3o16b2o7b2o14b5o14b3obob3o23bobo
18bobo13b3o2bo2b3o14bobo$14bo2b3o58b7o54bobobobobo7bo7bo28bo2bo3bo2bo
10b2o11b2o11bo2bo2bo44bobobo16bobobo16bobo17bobobo$14bob3o35b2ob2o4b2o
b2o12b3o17b2ob2o35b2obob2o7b3o5b3o30b2ob2o40b5o14bob5obo18bo2b3ob3o2bo
8bo2b3ob3o2bo7bobo3bo3bobo8bo2b3ob3o2bo$15b4obo32bob3obo2bob3obo9bo2bo
2bo14bob3obo34bo5bo27bo3bo14b2o5b2o11bo13bo11b3ob3o12b3ob3ob3o18b2o2b
3o2b2o10b2o2b3o2b2o9b4o3b4o10b2o2b3o2b2o$14bob3obo33b2ob2o4b2ob2o32b2o
b2o34b2obobob2o6b3o5b3o6b4obob4o12b3ob3o38bo2bo2bo13b9o19bobobobobobo
10bobobobobobo9b2obo3bob2o10bobobobobobo$15b4ob2o34bo8bo10bobo5bobo15b
o37bobobobo22b5obobob5o8b2ob5ob2o36b3ob3o13bo7bo21bo2bo2bo14bo2bo2bo
12bob5obo13bo2bo2bo$14b2o3bo35bobo6bobo8bobo2bobo2bobo13bobo36bob3obo
8bo7bo5bo13bo8bo3bobo3bo35bo7bo13b7o21b2o5b2o12b2o5b2o10bobob3obobo11b
2o5b2o$14bob3ob2o37bo2bo13b3obobob3o12bo5bo33bo7bo7bo7bo7b2o7b2o13bobo
bo39b7o41bob3ob3obo10bob3ob3obo10bo3bo3bo11bob3ob3obo$15b7o38b2o17b2ob
2o12bobo7bobo32bo3bo9bo7bo7b2o7b2o11b2o5b2o15bobobobo14b9o14bo3bo22b3o
3b3o12b3o3b3o11bobobobobo12b3o3b3o$14b3ob2o39bo2bo11bo2b2obobob2o2bo8b
obo5bobo34bobo10bo7bo10b5o13bob2o3b2obo13bo2b3o2bo13b2o5b2o13bob3obo
23b5o16b5o12bob2o3b2obo13b5o$14bo2b3o40b2o13b2ob3ob3ob2o9bo9bo32b2obob
2o9bo5bo8b3o5b3o11bob5obo13bo3b3o3bo13bobobobo14b2obob2o22bo2bo2bo14bo
2bo2bo13b2obob2o14bo2bo2bo$14b5ob2o53bobo7bobo8b2o9b2o31bo2bo2bo8bo7bo
6bo3bobobo3bo12bobobo16bo3bo3bo12bo2bo3bo2bo15bo26bobobo16bobobo15b2ob
2o18bo$13bob3o56bo3bo5bo3bo8bobo5bobo35bo12bo5bo8b3o5b3o11bo7bo13bob2o
bob2obo12bob2ob2obo14bo3bo21b3ob3ob3o10b3ob3ob3o12b5o15bob3obo$14b2obo
b3o54b2o3bo3b2o8bo13bo32b3o9b2o7b2o5bob3obob3obo9bo2bobobo2bo16b3o15b
2o2b3o2b2o11bobo3bobo18bo3b2ob2o3bo8bo3b2ob2o3bo12bobo18b3o$13bob3o2b
2o74b5o3b5o34bo11b2o5b2o7b2o2bobo2b2o11bo2bobo2bo13bo2bo3bo2bo14b5o13b
o9bo19b4ob4o12b4ob4o33bobobobo$14b4o62b3o12bo3bo5bo3bo31b2ob2o8b2o7b2o
5b2o3b3o3b2o10b2obobob2o16b2ob2o17bobobo13bobo5bobo17bo2bob3obo2bo8bo
2bob3obo2bo11b2ob2o16b2ob2o$14b4ob3o57bo3bo15bobobobo36b3o10b2o5b2o7bo
bobobobobo14bobo17b2o5b2o34bob5obo17b3ob2o3b2ob3o6b3ob2o3b2ob3o11b3o
16bobobobo$16b2o62b3o16b2obob2o35b5o8b2o7b2o11bo16bo7bo15b3ob3o16b5o
14bo3bo3bo21b7o14b7o14b5o17b3o$15b3o2b2o75bo9bo34bobo10b2o5b2o12bo15bo
bobobobobo12b2ob5ob2o14b2ob2o14b2obobob2o18b2o2b2ob2o2b2o8b2o2b2ob2o2b
2o13bo17b3ob3o$13b5ob2o81bo40bo10b2o7b2o8b7o10bob2o3bo3b2obo10bo3bobo
3bo14b5o15bob3obo20b2o2b3o2b2o10b2o2b3o2b2o11bobobobo14b7o$13bo2b2o2bo
120bobobo9b2o5b2o9b2obob2o14bo2bo2bo17bobobo17b5o42bob7obo10bob7obo11b
obobobo16b3o$14bobo124b2ob2o8b2o7b2o9bobobo11b3obob3obob3o11b2o5b2o35b
2obob2o19b3o3bo3b3o8b3o3bo3b3o9b2o2bo2b2o13b3ob3o$14bobob3o122bo11b2o
5b2o8bobobobobo11bo9bo12bob2o3b2obo13b2obob2o14b7o21bo2bobo2bo12bo2bob
o2bo10bob3ob3obo14b3o$13b2o2bobo121bo3bo26bo7bo12bobo3bobo14bob5obo14b
7o15b2ob2o20bo2bo5bo2bo8bo2bo5bo2bo8b5ob5o13b2ob2o$12b3o2b2o124bo12bo
5bo9bo3bo3bo13bo2bo2bo17bobobo17b2ob2o16bobobo22b3o3b3o12b3o3b3o11bo2b
obo2bo13bob3obo$12bo4bo123b5o25bo4bo4bo14bobo17bo7bo15bo3bo15b2obob2o
61bo2bobobo2bo11b3obob3o$14b3o2b2o121b3o26b3o5b3o14bobo16bo2bobobo2bo
16bo17bob3obo21b9o12b9o10b2ob5ob2o13bobobo$17bob3o120bobo28bo5bo17bo
18b2obobob2o15bobobo16b2ob2o23b2obob2o14b2obob2o13bobobobo13b2o2bo2b2o
$14b2o5bo121bo27b3ob3ob3o14b3o16bo3bobo3bo15bobo18bobo22b2o2bobo2b2o
10b2o2bobo2b2o14bo17b2obob2o$175b3o17bo3bo20bo20b3o19bo23b2ob2ob2ob2o
10b2ob2ob2ob2o9b2o3bo3b2o10b2o7b2o$14bo126bobobo26b2obobob2o14b2ob2o
20bo20bobo17b5o22b2ob3ob2o12b2ob3ob2o10bo2b5o2bo12bo5bo$142b3o25bobob
5obobo14bo16bob3obob3obo15bo16b4ob4o19b2ob5ob2o10b2ob5ob2o11bob3obo12b
o9bo$141b2ob2o26b9o36b3ob3o17b3o17b2ob2o23bo5bo14bo5bo13bobobobo12bo9b
o$142bobo28b2obob2o11b4o5b4o10b2o2b5o2b2o14bobo15b3obob3o19b3obobob3o
10b3obobob3o10bob2ob2obo11bo9bo$172b9o13bo5bo14b3obobob3o16bo19b3o23bo
b5obo12bob5obo12b2obob2o12b4o3b4o$173b2o3b2o11bo11bo11bobob3obobo15b3o
15b2ob3ob2o21bobobobo14bobobobo31b4o5b4o$172b3obob3o33bo5bo5bo33bobobo
bo24bobo18bobo14b2o5b2o10bob2o5b2obo$174bo3bo37b2obobob2o35bo2bo2bo25b
o20bo16b3ob3o12bo9bo$14b2o2b2o57b2o2b2o131b6ob6o14bobo15b4ob4o23bobo
18bobo14bo2b3o2bo9bo13bo$260bob3obo23b2ob2o16b2ob2o14b7o12b3o5b3o$12bo
62bo138b2ob2obob2ob2o33b3ob3o25bo19bobo15b3ob3o10bo13bo$12bo62bo183b3o
3b3o23b3o17b5o14bo5bo12bo2b5o2bo$214b3o7b3o33b3ob3o42bob2ob2obo14b3o
14b11o$132b2o2b2o122bobobobo42bobobobobo14b3o16bo2bo2bo$12bo62bo138bo
5bo5bo32b2ob3ob2o45bo15bobobobobo10b2o2b2ob2o2b2o$12bo62bo63bo77b2obob
2o36b2o3b2o45bobo16bobobo13b2o2b3o2b2o$139bo79bobo38bob3obo65bobo13b2o
bob3obob2o$14b2o2b2o57b2o2b2o136b3o37b2ob3ob2o63bobobo13bobo2bo2bobo$
219b3o38bo2bo2bo62bob5obo11b4o3b4o$139bo75bob7obo36bobo66bobobo15b7o$
139bo74b4o2bo2b4o33bob3obo61b5ob5o9b6ob6o$216bo2bobo2bo36b2ob2o64b2obo
b2o12bo9bo$6b2o2b2o2b2o2b2o2b2o2b2o41b2o2b2o2b2o2b2o2b2o2b2o41b2o2b2o
10b2o2b2o61b4obob4o33b3obob3o60b5ob5o9b13o$217b7o35bo3bo3bo61bo2bobo2b
o11b3ob3ob3o$130bo15bo68bo4bo4bo34bo2bo2bo85bobobo$130bo15bo70b2obob2o
35b2o5b2o81b2o3bo3b2o$215b2obo3bob2o34b2obob2o83b4ob4o$14b2o2b2o57b2o
2b2o133b2o2bo2b2o34b2obobob2o41b2o2b2o34b4obob4o$130bo15bo71bobobo36bo
2b3o2bo81bob3ob3obo$21bo62bo45bo15bo113b7o49bo34b2obob2o$21bo62bo133bo
3bo36bo2b3o2bo48bo33bob2ob2obo$132b2o2b2o10b2o2b2o62bo7bo35b2obob2o83b
o7bo$218b5o37b2obob2o83bo7bo$21bo62bo130b4obob4o37bo52bo34bo5bo$21bo
62bo130bo3bobo3bo34bobobobo49bo$217bo5bo37b5o$14b2o2b2o57b2o2b2o41b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o54b3o3b3o36b2ob2o43b2o2b2o10b2o2b
2o$214bo2bo5bo2bo33bo2bo2bo$12bo71bo131bo7bo36bobobo41bo15bo$12bo71bo
129b2o9b2o33b3ob3o40bo15bo$259bob5obo$260bo2bo2bo$12bo71bo174bobobobob
o39bo15bo$12bo71bo53bo8bo111bob2ob2obo39bo15bo$138bo8bo115bo$14b2o2b2o
57b2o2b2o177bo2bo2bo42b2o2b2o10b2o2b2o$260b3ob3o$138bo8bo111b2o5b2o$
138bo8bo66b3o6b3o35b2ob2o$218bo2bo39b2ob2o$140b2o2b2o68b2obo4bob2o34b
3ob3o34b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o$213b2o3b4o3b2o31b2o2b3o
2b2o$147bo65b4o6b4o32bob5obo$147bo65b14o32b2obobob2o$212bo3b3o2b3o3bo
33bobobo$219b2o96b2o2b2o$147bo64b2o2b2ob2ob2o2b2o34b3o$147bo64b3o3bo2b
o3b3o34b3o50bo$213b2obo6bob2o35b3o50bo$213b3o8b3o35b3o$214bo2b2o2b2o2b
o37bo$213b2o10b2o33b2o3b2o48bo$212bobo3bo2bo3bobo30bob2obob2obo46bo$
213b2o10b2o36bo$212b3o10b3o30b4o3b4o48b2o2b2o$212b4o8b4o32bo5bo$215b2o
6b2o33b3o5b3o55bo$212bobo10bobo31b3o3b3o56bo$214bo10bo32bobo5bobo$259b
2o5b2o$261bo3bo58bo$259bobo3bobo56bo$258bo2bobobo2bo$261b2ob2o51b2o2b
2o$260bob3obo$215bo8bo34b2obobob2o$214bobo6bobo32b2ob5ob2o$215b2o6b2o
34b3obob3o$213b2obob4obob2o31b3o2bo2b3o$216bo6bo37bobobo$212b2obo2bo2b
o2bob2o35bo$212bob12obo32b2o3b2o$213b2o2b2o2b2o2b2o32b3obob3o$213bo3b
2o2b2o3bo34bobobo$212bobobobo2bobobobo31bo3bo3bo$213bobobob2obobobo32b
4ob4o$213b2o10b2o$214b2obo4bob2o35bo3bo$213bo3b2o2b2o3bo33b2obob2o$
212b4obo4bob4o$214b2o8b2o33b2o2bo2b2o$212bob2o8b2obo33b2ob2o$214bo10bo
35bo3bo$212b2o2bo6bo2b2o32b2obob2o$213bobo8bobo34b5o$262b3o$213b2o10b
2o32b2obobob2o$215bo8bo35bobobobo$215b2o6b2o34b2ob3ob2o$215bo8bo37b3o$
213bobo8bobo33bo2bo2bo$217bo4bo38b5o$215bob2o2b2obo35bob3obo$216bo6bo
36bo2bo2bo$216b2o4b2o35bobo3bobo$215bo2bo2bo2bo35bo5bo$216b2o4b2o35b3o
3b3o$216b2o4b2o34b2o7b2o$217b2o2b2o36b3o3b3o$216b2o4b2o34bobobobobobo$
217bo4bo$261b5o$260b7o$259bob5obo$260b3ob3o$262bobo$263bo$213b2o2b2o
42b5o$261bo3bo$211bo47bob5obo$211bo$259b9o$261b5o$211bo50b3o$211bo51bo
$260b7o$213b2o2b2o40bo2bobo2bo$260b2o3b2o$259b2ob3ob2o$260bo5bo$259bo
3bo3bo$205b2o2b2o2b2o2b2o2b2o2b2o34bo3bo$260bob3obo$261bobobo$261b2ob
2o$262b3o$261b2ob2o$262bobo$211bo8bo$211bo8bo3$211bo8bo$211bo8bo2$213b
2o2b2o2$220bo$220bo3$220bo$220bo!

EDIT:C/5:

Code: Select all

x = 27, y = 19, rule = B2ei3-ckr4jknrtwy5ceikr7e/S1e2e3-cin4-aejqw5-aqr6acn
3b3o15bo$bob3obo13bo$2bo3bo12bo3bo$bo5bo9bobobobobo$2bobobo9bo3b3o3bo$
3b3o13b2ob2o$3bobo10b2obobobob2o$4bo13b7o$b7o8bo2bo3bo2bo$b2obob2o9b9o
$b2o3b2o8bo2bo3bo2bo$2bo3bo$b2obob2o9bobo3bobo$2b2ob2o$b2obob2o8b2obo
3bob2o$2ob3ob2o7b3o5b3o$b2obob2o9bobo3bobo$bo2bo2bo8bobo5bobo$2bobobo
12bo3bo!

EDIT:Natural c/5d in Rule #26:

Code: Select all

x = 32, y = 32, rule = B2-ak3ei4cijnwyz5aqy6ein78/S01e2cik3-ikqy4cjnr5aei6-kn7e
2o4b2o2b2o2bo2bo2b2o2b2o4b2o$2o2bo6bobob2obobo6bo2b2o$2bo2b3ob14ob3o2b
o$4bo6b2ob4ob2o6bo$bobob2o4bo3b2o3bo4b2obobo$2bob2ob2obobo6bobob2ob2ob
o$obobo2bob3ob2o2b2ob3obo2bobobo$obo2b4o2b2obo2bob2o2b4o2bobo$5bob2ob
3ob4ob3ob2obo$2bo3bo3b2obo4bob2o3bo3bo$obo2b2ob6o4b6ob2o2bobo$5ob5o2bo
4bo2b5ob5o$2b2obob2obo3b4o3bob2obob2o$b2o3bo2b3ob6ob3o2bo3b2o$ob2o2b3o
3b3o2b3o3b3o2b2obo$b4o3bo3b2ob2ob2o3bo3b4o$b4o3bo3b2ob2ob2o3bo3b4o$ob
2o2b3o3b3o2b3o3b3o2b2obo$b2o3bo2b3ob6ob3o2bo3b2o$2b2obob2obo3b4o3bob2o
bob2o$5ob5o2bo4bo2b5ob5o$obo2b2ob6o4b6ob2o2bobo$2bo3bo3b2obo4bob2o3bo
3bo$5bob2ob3ob4ob3ob2obo$obo2b4o2b2obo2bob2o2b4o2bobo$obobo2bob3ob2o2b
2ob3obo2bobobo$2bob2ob2obobo6bobob2ob2obo$bobob2o4bo3b2o3bo4b2obobo$4b
o6b2ob4ob2o6bo$2bo2b3ob14ob3o2bo$2o2bo6bobob2obobo6bo2b2o$2o4b2o2b2o2b
o2bo2b2o2b2o4b2o!

P6,P7,P8,P13,P14,P16,P17,P24:

Code: Select all

x = 150, y = 71, rule = B2-ak3ei4cijnwyz5aqy6ein78/S01e2cik3-ikqy4cjnr5aei6-kn7e
7b2o15bo3bo16bobo2bobo13bo11bo3bo9bo3bo6bo3bo14b2o17bo4bo$25bobo6bo11b
ob2obo27bobo11bobo9bo16b2o$10bo34bo6bo11bobobo18bo16bobo15b2o18b4o$6bo
2b2o14bobo3bo14bo4bo14bo12bobo11bobo9bo13bo6bo11bo2b2o2b2o2bo$8b3o13bo
3bo3bo13bo4bo10bob2ob2obo7bo3bo4bo4bo3bo6bo16bo4bo14b3o2b3o$45bo6bo13b
o20bo22bo29bo6bo$46bob2obo12bobobo40bo6b3o3b2o3b3o10bo6bo$27bo17bobo2b
obo33b3o19bo7b3o3b2o3b3o10b3o2b3o$28bo37bo18b2ob2o48bo2b2o2b2o2bo$80bo
b2obo3bob2obo25bo4bo16b4o$10bo14bo59b2ob2o29bo6bo$10bobo73b3o33b2o17bo
4bo$10bo111b2o$9bo77bo34b2o$8bo69bo3bo4bo4bo3bo$5b3o71bobo11bobo$87bo$
6bo24bo47bobo11bobo$24bo3bo49bo3bo9bo3bo$25bobo$32bo$25bobo4bo$8bobo
13bo3bo$8bobo$8b3o$5b4ob4o9bo$7bobobo14b2o$5b4ob4o$8b3o$8bobo$8bobo7$
3bo4b2o4bo2$5bo6bo$6bo4bo2$3bo10bo$3bo10bo2$6bo4bo$5bo6bo2$3bo4b2o4bo
5$2bo12bo$b2o12b2o$3o12b3o$4b2o6b2o$3bo10bo$3bobo2b2o2bobo3$5bo2b2o2bo
$5bo2b2o2bo3$3bobo2b2o2bobo$3bo10bo$4b2o6b2o$3o12b3o$b2o12b2o$2bo12bo!

[martin.novy]

I have tested the rules 1..100 using my script, and the results and the population plots are at https://conwaylife.com/forums/viewtopic ... 83#p100583

[Layz Boi]

Some oscillators in Rule #4 (edit: added more) (omitted ones already posted by lemon41625, and in Catagolue)

Code: Select all

x = 108, y = 236, rule = B2ekn3eiry4aertwyz5-aknr6-in8/S01c2ak3-eiy4-acntw5-er6ack7c
33b2o28b2o10bo$26bo6b3o7bo7bo9b6o6b2ob2o$27bobo4bo7b2o6bo10b6o6bobobo
18b2o$29bo3bobo6b3o3bobo9b3o2b3o4bob3obo16b3o$27b2o5bo5b4o4bo11b3o2b3o
5bobobo18bo$33b3o3b5o3bo13b6o6b2ob2o3b2o5b2o5bobo$34b2o5bo19b6o8bo5b2o
5b2o4bobobo$51bobobo7b2o18bo3bo$50b3ob3o13b2o12b3o$6b2o19b2o22bobobo14b
obo11bobo16b2o$5bo2bo17b3o13bobo5bobobobo5bo6bob3o10b3o13bo2b2o2bo$8b
o18bo6bobo6bobo5bobobo4b2o8bobobo8bo3bo13b6o$7bo18b3o4b5o6bobo3b3ob3o
3bobo7b2ob2o6b2o5b2o13b2o$6bo20b2o5bobo14bobobo5b3o8bo8b2o5b2o13b2o$5b
o27b5o24b2o$5b4o25bobo58bobo$93b5o$54bo9bobobobo7bobobobobo6b4o$28bob
o7b2obobob2o4bobobobo5b9o5bobobobobobo4b3o$26b2obob2o5b3obob3o3b3obob
3o3b4obob4o3bobobobobobobo4b2o$25bo2bobo2bo5bo5bo5b3ob3o5b2o5b2o5bo3b
obo3bo4b2o$25bob2ob2obo4bo7bo3bobo3bobo3b2o7b2o3bobo3bo3bobo$24bob3ob
3obo4bo5bo3bobo5bobo3b2o5b2o5bobobobobobo12bo$25bo7bo4bo7bo3bobo3bobo
3b2o7b2o3bobobobobobobo10bo$24bob3ob3obo4bo5bo5b3ob3o5b2o5b2o5bobobob
obobo9bo$25bob2ob2obo4b3obob3o3b3obob3o3b4obob4o3bobo3bo3bobo7b3o$25b
o2bobo2bo4b2obobob2o4bobobobo5b9o5bo3bobo3bo7bobo$26b2obob2o21bo9bobo
bobo5bobobobobobobo6b2o$28bobo46bobobobobobo$78bobobobobo8$33b2o3b2o$
26bo6b2o3b2o6b4o$26b2o7bobo8b4o$24b2o2bo7bo9b4o$25bo2bo6bobo8b4o$5b2o
19b2o5b2o3b2o$4bo2bo25b2o3b2o$7bo$6bo$7bo$4bo2bo28bo$5b2o29b2o6b2o$34b
2o2bo5b2ob2o$35bo2b2o7b2o$36b2o$37bo11$27bo29bobobobo$25b2ob2o15b2o10b
7o$4bo20b5o13b6o6b2ob5ob2o7bo12bo$4bo20b2ob2o12bobo2bobo6b2obobob2o8b
o10b4o$4bo2bo19bo14b2o4b2o5b11o6b2o9b3o$4b4o28bo4b2o2b2o2b2o5b2obobob
2o8b2o8b3o$7bo28bo4b2o2b2o2b2o4b11o7b5o4b2o$7bo27b2o5b2o4b2o6b2obobob
2o10bo7bo$7bo25b4o5bobo2bobo5b2ob5ob2o$25b3o6b2o7b6o8b7o$24b2o19b2o10b
obobobo$23b3o$23bo$23bo9$4b3o$4bo18bo12bob2o$4bo19b2o9b2ob2o$4b3o18b2o
8bo$7bo16bobo$7bo19bo4b2o$4b3o25b2o12$41bo$5b2o17b2o4b2o8b3o7bo9b2o$4b
o18b3o5bo7b2ob2o6b2o8b3o$4bo17b4o6bo6b2ob2o5b5o4b2ob3o$4b3o15b3o6bo7b
2ob2o4b5o5b3ob2o$4bo2bo14b2o8bo6b2ob2o6b2o7b3o$4bo2bo24b2o7bo9bo8b2o$
5b2o11$44bo10bo$5b2o19bo6b2o10b2o7b4o$4bo2bo18b2o4b2ob2o5bobob2o5b2ob
ob2o$4bo2bo17b2o6bo2b2o5bobobo6b2ob3o$5b2o18b3o5bo2b2o5b2obobo5bob3ob
o$4bo2bo16b2o6b2ob2o7b2o9b3ob2o$4bo2bo17bo7b2o11bo8b2obob2o$5b2o50b4o
$59bo12$24b6o$o4b2o16b2o4b2o$o3bo2bo15bobo2bobo$o3bo2bo15bo6bo$o3bo2b
o15bo6bo$o3bo2bo15bobo2bobo$o3bo2bo15b2o4b2o$o4b2o17b6o8$6b2o$o4bo2bo
$o7bo28bo$o6bo18b3o8bo$o5bo20b2o7b3obo$o4bo21bo8bobobo$o4b4o18bo8b4o$
37bo9$o4b2o19bo2bo$o3bo2bo17b6o$o6bo16b2o4b2o$o5bo17b2o4b2o$o6bo17b6o
$o3bo2bo18bo2bo$o4b2o11$26b3o$o3bo21b3o$o3bo21bobo$o3bo2bo15b9o$o3b4o
15b2obobob2o$o6bo15b9o$o6bo18bobo$o6bo18b3o$26b3o13$o4b2o20bo$o3bo2bo
18b3o$o3bo2bo17bob3o$o3b4o16b7o$o3bo2bo17b3obo$o3bo2bo18b3o$o4b2o20bo
13$b2o$o2bo3bo22bo$3bo3bo19bob2o$2bo4bo17b2obob2o$bo5bo17b2obob2o$o6b
o18b2obo$4o3bo18bo!

Code: Select all

x = 2, y = 6, rule = B2ekn3eiry4aertwyz5-aknr6-in8/S01c2ak3-eiy4-acntw5-er6ack7c
2o$2o$bo$2o$bo$o!

Rule #61 looks pretty apgsearchable to me. It's a dreadfully boring rule though.

Code: Select all

#C [[ RANDOMIZE ]]
x = 32, y = 32, rule = B2-ak3ceir4aejky5-ekq6-a78/S01e2cin3-ijqr4aciry5-cky6ack78
o31$31bo!

Code: Select all

x = 77, y = 127, rule = B2-ak3ceir4aejky5-ekq6-a78/S01e2cin3-ijqr4aciry5-cky6ack78
63b2o$62b4o$60bob5o$39b2o20b5obo$4b2o32b3o9b2o7b3obob4o$6bo26bo6bo9b3o
5b5o3b4o$6bo25bo7b4o4b3ob2o4b4o3b5o$4b2o36b2o4b2ob3o5b4obob3o$3bo38bo
6b3o8bob5o$3bo46b2o9b5obo$4b2o56b4o$63b2o17$4b2o$6bo24bo2b2o8b2o$6bo23b
6o$4b2o25bo2bo7bob2obo$6bo24bo2bo7bob2obo$6bo23b6o$4b2o24b2o2bo9b2o16$
60bo2$37bo19b3o11b2o$34bo2b3o7bo11bo10b4o$4bo2bo27b5o7bo8bo12b5o$4bo2b
o24bob5o7bobo20b5ob2o$5b2o26b5o6b7o17b6o$7bo24b5o7b7o14b3ob5o$7bo23b5o
8b7o14b3o2b3o$32b3o10b5o12b2ob3ob2o$65b4o2bo$47bo8b2o7b3o$47bo8bobo7b
2o$57b2o10$6b2o$5bo$5bo23bo$6b2o20bo$5bo2bo$5bo2bo22bo$6b2o14$6b2o23b
o$o7bo20bobobo$o7bo20b2ob2o$6b2o21bobobo$o4bo25bo$o4bo$6b2o16$31bo2bo
$30b4o$o4bo2bo21b4o2bo$o4bo2bo22b5o$6b2o24b5obo$o7bo24b5o$o7bo25b5obo
$35b5o$36b5o$37b5o$38b3o$39bo!

[FWKnightship]

Some oscillators and spaceships in rule #51:
P2,P3,P4,P5,P6,P7,P8,P9,P10,P12:

Code: Select all

x = 165, y = 91, rule = B2cek3cky4ikntz5-jqr6ace/S2-n3ejkn4-aqrtz5aejkq6cik7e
4bo12bo6bo23b2o18bo19bo15bo13b5o5b5o13bo$5b2o9b2o6b2o6b4o11b2ob3o35b2o
13b2o13bobobo5bobobo$4bobo11bob2obo7bo4bo9b2o2bobo12b2obo17b2o17bo12b
2ob2o5b2ob2o13bo13bobobo$4b2o13bo2bo8bo4bo9bo2bob2o13b2o37bo12bobo2bo
3bo2bobo27bo2bo$6bo11bo4bo7bo4bo10b2o2bobo13b2o17b2o15bobo12b3o4bo4b3o
13bobobo8bobo2bo$18bo4bo7bo4bo10bob2ob2o14b2o13bobo17b2o16bo7bo32bo$
19bo2bo9b4o11b3obobo15bo13bobo18bo20bo20bobo14b2o$18bob2obo26b4o27b2o
39bobobobo33bo$16b2o6b2o56bo42bo$5bo11bo6bo96bo7bo$106bo11b3o4bo4b3o$
3bobobo60bobo32bobob2o9bobo2bo3bo2bobo$4bobo95b2o3bo10b2ob2o5b2ob2o$3b
obobo23bobobo12bo19b3obo28b2o15bobobo5bobobo12b2o$32bobo12b2o69b5o5b5o
14bo$5bo25bo3bo10b2ob3o12bobobobo15bobo12bo42bobo$32bobo12bobobo14bo
16b2o2bo12bo46b3o$31bobobo14b2o12bobobo14bo4bo12b2o41bobo$52b2o47bo45b
o$50b3o13bo15bo4bo57b2o$5bo45bo31bo2b2o$3b2ob2o74bobo$2b2obob2o$b2ob3o
b2o$bobobobobo2bo131b2o$ob3ob3o36b3o52b2obobob2o34b2ob2o$bobobobobo2bo
32bobo52bo7bo34bob2ob3o$b2ob3ob2o35b2obo50b3o5b3o34b2o2bobo$2b2obob2o
135bo2bob2o$3b2ob2o93bobobobo37b2o$5bo43b2o94bobo$48bobo94b3o$48b2o3bo
$54b2o$53bobo$53b3o$6bo$101bo3b3o41bo$4bobobo91bo2bobobo41b2o$102b3ob
2o40bob2o$2bob5obo35bo53bo2bobobo39b3o$4bobobo36b2o54bo3b3o40bo$obob2o
b2obobo31b2o101bo$4bobobo37bo3b2o92bobo$2bob5obo38bobo91b3o$49b2o90b2o
bo$4bobobo133b2o$143bo$6bo44bob2o$52b2o$52bo5$144b5o$50b2o92bobobo$48b
2o2b2o90b2ob2o$45b3ob4ob3o89bo$45bobobo2bobobo89bo$45b2o8b2o89bo$44bo
12bo$44b3o8b3o79b3o5bobo5b3o$43bobo10bobo78bobo4bobobo4bobo$43bobo10bo
bo78b2ob3o2bobo2b3ob2o$44b3o8b3o79bobo4bobobo4bobo$44bo12bo79b3o5bobo
5b3o$45b2o8b2o$45bobobo2bobobo89bo$45b3ob4ob3o89bo$48b2o2b2o92bo$50b2o
92b2ob2o$144bobobo$144b5o3$44b5o5b5o$44bobobo5bobobo$44b2ob2o5b2ob2o$
44bob2o7b2obo$44b3o3b3o3b3o$49bo3bo$48bob3obo$48bobobobo$48bob3obo$49b
o3bo$44b3o3b3o3b3o$44bob2o7b2obo$44b2ob2o5b2ob2o$44bobobo5bobobo$44b5o
5b5o!

2c/4,c/3,c/4,c/5:

Code: Select all

x = 287, y = 66, rule = B2cek3cky4ikntz5-jqr6ace/S2-n3ejkn4-aqrtz5aejkq6cik7e
12bo24bo7bo17bo7bo17bo7bo13bob3o5b3obo9bob3o5b3obo9bob2o7b2obo9bob3o5b
3obo9bob3o5b3obo14bobo17b5o17bobo$10bo3bo20b2ob3ob3ob2o13b2ob3ob3ob2o
13b2ob3ob3ob2o10bo2bo2b2ob2o2bo2bo7bo2bo2b2ob2o2bo2bo10bo4bo4bo10bo2bo
2b2ob2o2bo2bo7bo2bo2b2ob2o2bo2bo12b2ob2o16bo3bo16b2ob2o$6bob3o3b3obo
16bo3bo3bo3bo13bo3bo3bo3bo13bo3bo3bo3bo10b2o3b2o3b2o3b2o7b2o3b2o3b2o3b
2o8b2ob4ob4ob2o8b2o3b2o3b2o3b2o7b2o3b2o3b2o3b2o12b5o17bobo17b5o$2bo2bo
3b7o3bo2bo12b3o2bobo2b3o13b3o2bobo2b3o13b3o2bobo2b3o14bobobobobo15bobo
bobobo11bo2bo2bo3bo2bo2bo11bobobobobo15bobobobobo15b2o3b2o15bobobo15b
2o3b2o$o2bo2b3o2bobo2b3o2bo2bo11bo2b5o2bo15bo2b5o2bo15bo2b5o2bo14b2o2b
obo2b2o13b2o2bobo2b2o12bo2bo5bo2bo12b2o2bobo2b2o13b2o2bobo2b2o36b5o$3o
bobob9obobob3o16bo25bo25bo24bo23bo17b3ob5ob3o17bo23bo22bo17b2obob2o17b
o$obo3bo3bo3bo3bo3bobo10bo11bo13bo11bo13bo11bo12bobo7bobo11bobo7bobo
12bo3b3o3bo12bobo7bobo11bobo7bobo13bobobobo15b5o15bobobobo$3obo5bobobo
5bob3o9bo13bo11bo13bo11bo13bo10bob2obo3bob2obo9bob2obo3bob2obo9b2ob2o
5b2ob2o9bob2obo3bob2obo9bob2obo3bob2obo13bobobo18bo18bobobo$2bo3bobob
5obobo3bo11bobo9bobo11bobo9bobo11bobo9bobo10bo4b5o4bo9bo4b5o4bo9bob2ob
o3bob2obo9bo4b5o4bo9bo4b5o4bo15bo18b5o18bo$b3o3b11o3b3o9b2o3bo5bo3b2o
9b2o3bo5bo3b2o9b2o3bo5bo3b2o11bob2o3b2obo13bob2o3b2obo10bob4obobob4obo
10bob2o3b2obo13bob2o3b2obo16bobo16bo5bo16bobo$3bo2bobobo3bobobo2bo17bo
bobo21bobobo21bobobo16bobobobobobobo11bobobobobobobo11bo5bo5bo11bobobo
bobobobo11bobobobobobobo11bo3bobo3bo11bobo3bobo11bo3bobo3bo$4b2o2b2ob
3ob2o2b2o14b3ob5ob3o13b3ob5ob3o13b3ob5ob3o11b2o2b2obob2o2b2o9b2o2b2obo
b2o2b2o11bo9bo11b2o2b2obob2o2b2o9b2o2b2obob2o2b2o11b3o3b3o11bo9bo11b3o
3b3o$4b2ob11ob2o12bo2bobo5bobo2bo9bo2bobo5bobo2bo9bo2bobo5bobo2bo10bob
3o3b3obo11bob3o3b3obo11b2o2b2ob2o2b2o11bob3o3b3obo11bob3o3b3obo10bobo
3bo3bobo8b2o2bo3bo2b2o8bobo3bo3bobo$7bo3bobo3bo17b2o4bo4b2o13b2o4bo4b
2o13b2o4bo4b2o12b4ob3ob4o11b4ob3ob4o10b2obobo3bobob2o10b4ob3ob4o11b4ob
3ob4o11bo2b2ob2o2bo10bo4bo4bo10bo2b2ob2o2bo$5bob2ob2ob2ob2obo13bo2bob
3ob3obo2bo9bo2bob3ob3obo2bo9bo2bob3ob3obo2bo8bo2b2o2bobo2b2o2bo7bo2b2o
2bobo2b2o2bo8b3ob2o3b2ob3o8bo2b2o2bobo2b2o2bo7bo2b2o2bobo2b2o2bo7bo2bo
b2ob2obo2bo7b2o2bo3bo2b2o7bo2bob2ob2obo2bo$7bobobobobobo15b3obo7bob3o
9b3obo7bob3o9b3obo7bob3o8b2o13b2o7b2o13b2o7bobob2o5b2obobo7b2o13b2o7b
2o13b2o12bobobo37bobobo$5b3o4bo4b3o13bo3bobobobobo3bo9bo3bobobobobo3bo
9bo3bobobobobo3bo14bo3bo19bo3bo13bo15bo13bo3bo19bo3bo20bo16b4ob4o16bo$
8bo7bo16bob2o4bo4b2obo9bob2o4bo4b2obo9bob2o4bo4b2obo11b3obobob3o13b3ob
obob3o11b3o9b3o11b3obobob3o13b3obobob3o15b5o37b5o$5bo2bobo3bobo2bo17bo
b5obo17bob5obo17bob5obo14bobo2bobo2bobo11bobo2bobo2bobo13b2ob3ob2o13bo
bo2bobo2bobo11bobo2bobo2bobo14bo3bo17b3o17bo3bo$4b7o3b7o11bo2b2o3bobo
3b2o2bo7bo2b2o3bobo3b2o2bo7bo2b2o3bobo3b2o2bo10b2o7b2o13b2o7b2o13b3o5b
3o13b2o7b2o13b2o7b2o16b3o17bo3bo17b3o$5bobo4bo4bobo12b3obobo2bo2bobob
3o7b3obobo2bo2bobob3o7b3obobo2bo2bobob3o11b2o5b2o15b2o5b2o14bo9bo14b2o
5b2o15b2o5b2o15b3ob3o13b2ob3ob2o13b3ob3o$6b3o7b3o16b3o2bobo2b3o13b5o3b
5o13b3o2bobo2b3o13b2o7b2o13b2o7b2o13b3o5b3o13b2o7b2o13b2o7b2o14bobobob
o13b2obobob2o13bobobobo$5b2obob2ob2obob2o15b3obo3bob3o13b13o13b3obo3bo
b3o13bo9bo37bo9bo62bo2bo2bo14b2o3b2o14bo2bo2bo$10bo3bo25b3o19b11o19b3o
41b2o3bobo3b2o16bobo16b2o3bobo3b2o11b2o3bobo3b2o13bo2bo2bo14bo5bo14bo
2bo2bo$5bob2o2bobo2b2obo13bobob3obob3obobo13bob5obo13bobob3obob3obobo
36b2o5b2o13bo11bo13b2o5b2o15b2o5b2o15bo5bo14bo5bo$12bo21b4ob5ob4o14b2o
2bo2b2o14b4ob5ob4o35bo4b3o4bo11b2o9b2o11bo4b3o4bo11bo4bobo4bo31b2o9b2o
10bo7bo$4b2ob2o2bobo2b2ob2o16bo2b3o2bo18b7o18bo2b3o2bo39bo3b3o3bo12bo
2bobobobo2bo12bo3b3o3bo13bo3bobo3bo33b2o7b2o9b3o7b3o$4bo3bo7bo3bo15bo
9bo15bo9bo15bo9bo38bo9bo17bobo17bo9bo13bo3b3o3bo34b2o5b2o10bo11bo$2b3o
b3o7b3ob3o13bo9bo16bo7bo16bo9bo42bobo45bobo20bobobo37bobo3bobo14bobobo
$2bobobobobo3bobobobobo39bo8b2obo13bo9bo64bobobobo17bobobobo20bo58bo2b
o5bo2bo$bobo4bo3bo3bo4bobo49bo92bo22bobo22bo39bo7bo13bobobobo$4bob3obo
3bob3obo40b2o10b2o11b2o11b2o62bo2bo2bo15bobobobobobo18bo64bo$3bobob3o
5b3obobo38bo12b3o12bo9bo62bobo2bo2bobo14bo2b3o2bo15b3o3b3o59bobo$5bob
2o2bobo2b2obo40bo13b2o9bo2bo9bo2bo61bob3obo16b9o14bo2bo3bo2bo55b2o2bo
2b2o$o2b5ob7ob5o2bo48b2o11b3o9b3o62bobobobo17b7o15b4obob4o55b2obobob2o
$b2o3bobo7bobo3b2o61b4o9b4o64bo19bobobobobo16bob3obo56bob2o3b2obo$3b3o
6bo6b3o64bo13bo84bo3b3o3bo14b9o56b2obobob2o$2bob2o2bo7bo2b2obo164b7o
18b5o58b2ob3ob2o$bob2obob3o3b3obob2obo162b2obobob2o14bobo5bobo52bobobo
b3obobobo$2b2o5bob3obo5b2o164bo5bo81bo3bo3bo$3ob2o4bo3bo4b2ob3o160b3o
2bo2b3o14bo7bo56bo2b3o2bo$b4o3bo2b3o2bo3b4o161bo4bo4bo12bo11bo54b3o3b
3o$2b3o2bo9bo2b3o161bob9obo10bobobo5bobobo54bob3obo$2bob4o9b4obo161bo
3b2ob2o3bo10bo13bo$bobo17bobo158bob2o4bo4b2obo7bob2o9b2obo55bobo$bob3o
bobo5bobob3obo160bobob5obobo10bo3bo5bo3bo$ob2o17b2obo163bo3bo14b3o9b3o
$obobo15bobobo159bo11bo10bo4bobobo4bo$o4bo13bo4bo158bo13bo10b2ob7ob2o$
o2b3o13b3o2bo181b2o4b5o4b2o$5bo3bobobobo3bo191bo5bo$210bo7bo$3bobo3bo
2bo2bo3bobo$9b7o$3bo3b2ob5ob2o3bo$8bo2b3o2bo$3bobo3bobobobo3bobo$4bobo
bo7bobobo$4bo2b3obobob3o2bo$6b3o7b3o$9b3ob3o$7bob2o3b2obo$7bo4bo4bo$6b
obo2bobo2bobo$6bobo2b3o2bobo$6bo5bo5bo!

[martin.novy]

I have decided to start a new project to explore the overall properties of non-relativistic rules and the objects in them. I have randomly generated 100 non-relativistic rules.

I wonder, how do you test or know that they are non-relativistic ... is some source code available ?

BTW, non-relativistic rules ... does it mean: no ships with speed above c/2? (or no explosions with speed above c/2 ??)
(I am a false beginner.)

[Hunting]

I have decided to start a new project to explore the overall properties of non-relativistic rules and the objects in them. I have randomly generated 100 non-relativistic rules.

I wonder, how do you test or know that they are non-relativistic ... is some source code available ?

BTW, non-relativistic ... does it mean: no speed above c/2?
(I am a false beginner.)

Without B1c, B1e, and B2a, it must be non-relativistic.

[FWKnightship]

C/3 in Rule #53:

Code: Select all

x = 119, y = 450, rule = B2-a3acejr4-anwz5-anry6-an7c8/S12aei3-jn4aijntwz5-eiqr6aen78
obo11bobo9b2o13b2o9bobo11bobo15bobo15bobo11bobo$2o13b2o11b2o4bo4b2o12b
obo3bobo3bobo16bobo16bobo3bobo3bobo$2o13b2o15b2ob2o16b2o3b5o3b2o17bo
17b2o3b5o3b2o$3o11b3o9bob13obo9b3o2b2obob2o2b3o14b5o14b3o2b2obob2o2b3o
$ob2obo5bob2obo9bo2b4obob4o2bo9bo2b3obobob3o2bo13b7o13bo2b3obobob3o2bo
$ob5o3b5obo12b2ob2ob2ob2o15bobo2bo2bobo17bobobo17bobo2bo2bobo$o2bo9bo
2bo13b2o2bo2b2o16b5ob5o13bobo3bo3bobo13b5ob5o$ob4o5b4obo14b7o18bob2ob
2obo14bo5bo5bo14bob2ob2obo$2o2b2o5b2o2b2o11b2ob7ob2o13bo2b7o2bo11b2obo
3bo3bob2o11bo2b7o2bo$obo11bobo13b9o17b9o16bobobobobo16b9o$3obo7bob3o
13b4ob4o17b4ob4o16bob5obo16b4ob4o$o2bo9bo2bo14b3ob3o15bo2b2ob3ob2o2bo
13bobobobobo13bo2b2ob3ob2o2bo$2bo11bo11bob3o7b3obo9b2o2b2obobob2o2b2o
12bo2bobo2bo12b2o2b2obobob2o2b2o$4bo2b3o2bo14bob4obob4obo10bobo3b2ob2o
3bobo12bob2ob2obo12bobo3b2ob2o3bobo$bo5b3o5bo11b3ob3ob3ob3o11b2ob9ob2o
12b11o12b2ob9ob2o$26b5ob5ob5o15bo3bo18bobobobobo18bo3bo$4bob5obo13bo5b
2ob2o5bo9bo4bob3obo4bo13bobobobo13bo4bob3obo4bo$6b5o15bo2b4obob4o2bo9b
obob2ob3ob2obobo12bobobobobo12bobob2ob3ob2obobo$5bo5bo14b3obo3bo3bob3o
9bo3bo2b3o2bo3bo11bobobobobobo11bo3bo2b3o2bo3bo$3bo2b2ob2o2bo12bob2o3b
3o3b2obo9bo3bob5obo3bo12b3obob3o12bo3bob5obo3bo$2b2ob3ob3ob2o11bo3b3o
3b3o3bo9b5o7b5o9bob3o5b3obo9b5o7b5o$3b3o2bo2b3o12bob5o3b5obo9bob5o3b5o
bo10b4o2bo2b4o10bob5o3b5obo$3bo4bo4bo12bob4o2bo2b4obo9bob4obobob4obo
10b6ob6o10bob4obobob4obo$2b3o3bo3b3o11bo2b5ob5o2bo9b2ob4o3b4ob2o8bob5o
bob5obo8b2ob4o3b4ob2o$2b4o2bo2b4o11b8ob8o9bob6ob6obo8bo2b4obob4o2bo8bo
b6ob6obo$2bo5bo5bo11bob2ob7ob2obo9b17o10b5obob5o10b17o$bob3o5b3obo10b
17o9bo2bo3bobo3bo2bo12bo2b3o2bo12bo2bo3bobo3bo2bo$b2o2bobobobo2b2o10bo
b3obo3bob3obo9bob3ob5ob3obo9bo3bob3obo3bo9bob3ob5ob3obo$o2bo2bobobo2bo
2bo9bo2b2o3bo3b2o2bo9b8ob8o16bo16b8ob8o$3obo2bobo2bob3o9b3o3b2ob2o3b3o
11b2obo2bo2bob2o15bob3obo15b2obo2bo2bob2o$2o2bobobobobo2b2o10b6obob6o
11b5obobob5o13bo2b3o2bo13b5obobob5o$obo3b2ob2o3bobo10bo13bo11bo4b5o4bo
13b2o2bo2b2o13bo4b5o4bo$b2o3bobobo3b2o16bobobo21b2ob2o19b3ob3o19b2ob2o
$bo3bobobobo3bo17bobo22bobobo16b4ob3ob4o16bobobo$bob4obob4obo17b3o23bo
bo17b2o2bobobo2b2o17bobo$2b4obobob4o16bobobobo19bo2bo2bo15b2obob3obob
2o15bo2bo2bo$o3b3obob3o3bo14b7o17b3o5b3o12b2o3b5o3b2o12b3o5b3o$o3b9o3b
o11bobo2bobo2bobo13b2obo2bo2bob2o11b3o2b5o2b3o11b2obo2bo2bob2o$o2b4obo
b4o2bo11bob9obo13b5o3b5o13bobob3obobo13b5o3b5o$o2bobo5bobo2bo11bobo2bo
bo2bobo14bo2bobobo2bo11b2ob2ob5ob2ob2o11bo2bobobo2bo$o4b3ob3o4bo12b4ob
ob4o13b2ob2obobob2ob2o11bob2obobob2obo11b2ob2obobob2ob2o$o5bobobo5bo9b
obob2obobob2obobo9b7obob7o10b3obobobob3o10b7obob7o$o5bo3bo5bo9b3o3bobo
bo3b3o10bob3obobob3obo12b3ob3ob3o12bob3obobob3obo$o7bo7bo10bo2b9o2bo
11bob4o3b4obo12b11o12bob4o3b4obo$o6b3o6bo10bo6bo6bo11bo6bo6bo9bob2ob2o
3b2ob2obo9bo6bo6bo$o2b3o5b3o2bo10bob3o2bo2b3obo11bobobo2bo2bobobo9b2ob
2obobobob2ob2o9bobobo2bo2bobobo$o2b3o5b3o2bo10bob2o3bo3b2obo11b4o3bo3b
4o10bo2b9o2bo10b4o3bo3b4o$o3b3o3b3o3bo10b2obo3bo3bob2o11bobo4bo4bobo
10bo2bob5obo2bo10bobo4bo4bobo$o3bob2ob2obo3bo10bobo4bo4bobo11b2o3bobob
o3b2o13b2ob3ob2o13b2o3bobobo3b2o$o3bob5obo3bo10b5ob3ob5o11bob5ob5obo
14bobobobo14bob5ob5obo$o3b2obobob2o3bo10bob4obob4obo11bob2o2bobo2b2obo
14b2obob2o14bob2o2bobo2b2obo$o3bob5obo3bo10bo2b2ob3ob2o2bo11b5obobob5o
14bobobobo14b5obobob5o$o3b9o3bo10b3o2b5o2b3o13b2o2b3o2b2o18bobo18b2o2b
3o2b2o$o5b5o5bo11b4obobob4o13b5obob5o13bob2obob2obo13b5obob5o$o4b7o4bo
11bo3bobobo3bo13bo2bobobobo2bo14bobobobobo14bo2bobobobo2bo$o4bo5bo4bo
14bobobobo20bobobo18b9o18bobobo$o15bo14b2obob2o20b2ob2o16bobo2b3o2bobo
16b2ob2o$o4b3ob3o4bo14b7o18bo2b3o2bo14bo2b7o2bo14bo2b3o2bo$o3b4ob4o3bo
13bo7bo18b2obob2o15bo4bobo4bo15b2obob2o$ob2o3b3o3b2obo13b4ob4o18bo2bo
2bo15bo2bobobobo2bo15bo2bo2bo$ob3obobobob3obo13b3obob3o18b2o3b2o15bo3b
5o3bo15b2o3b2o$o2b3ob3ob3o2bo13b2ob3ob2o18b2o3b2o15bo3bobobo3bo15b2o3b
2o$6o2bo2b6o13b3obob3o20bobo17bobob2ob2obobo17bobo$ob2obob3obob2obo13b
2obobob2o17bobo3bobo14b6ob6o14bobo3bobo$ob2ob7ob2obo14b3ob3o18bo2bobo
2bo14bo3b5o3bo14bo2bobo2bo$3ob2ob3ob2ob3o16b3o20b2ob3ob2o14bo2b7o2bo
14b2ob3ob2o$o2bo2b5o2bo2bo13bobobobobo16b5ob5o13bo2bo5bo2bo13b5ob5o$2o
b5ob5ob2o12b3obobob3o15bob7obo13bo11bo13bob7obo$obob2o2bo2b2obobo12b3o
2bo2b3o16bobo3bobo14bo11bo14bobo3bobo$o4b3ob3o4bo10b3o2bo3bo2b3o11bob
4o3b4obo11bob2o5b2obo11bob4o3b4obo$o3bo2b3o2bo3bo10b2o2bobobobo2b2o11b
4ob5ob4o11bo2b2o3b2o2bo11b4ob5ob4o$o2b3obobob3o2bo12bob2obob2obo14bo3b
2ob2o3bo12bo4b3o4bo12bo3b2ob2o3bo$o2b4obob4o2bo9b2obob3ob3obob2o9bo2b
2o2b3o2b2o2bo10bob9obo10bo2b2o2b3o2b2o2bo$o2bob3ob3obo2bo10b3obob3obob
3o14bobobobobo14bob3obob3obo14bobobobobo$ob5obob5obo10b2o3b5o3b2o12b3o
b5ob3o12b2obo2bo2bob2o12b3ob5ob3o$ob3ob5ob3obo10bob11obo11b2o4b3o4b2o
11bob2o2bo2b2obo11b2o4b3o4b2o$ob2obob3obob2obo10bob3ob3ob3obo12bob2obo
bob2obo12bo4bobo4bo12bob2obobob2obo$o4b7o4bo11b2obo2bo2bob2o11bo3b4ob
4o3bo12b3o3b3o12bo3b4ob4o3bo$2b2o9b2o11bo3b2ob3ob2o3bo9bo6bobo6bo15b3o
15bo6bobo6bo$26bo3bo2b3o2bo3bo9bo4b7o4bo11bo3b3o3bo11bo4b7o4bo$bo2bo7b
o2bo10bo4b7o4bo9bo2bob7obo2bo33bo2bob7obo2bo$26bo2bo2b2ob2o2bo2bo9bo2b
5ob5o2bo14bobobo14bo2b5ob5o2bo$26bo2bobobobobobo2bo9bo2bo2b5o2bo2bo14b
5o14bo2bo2b5o2bo2bo$26bo2bob3ob3obo2bo9bo2bo4bo4bo2bo8bobo4b3o4bobo8bo
2bo4bo4bo2bo$26bo2bo2b2ob2o2bo2bo9bo2b4o3b4o2bo9bobob2obob2obobo9bo2b
4o3b4o2bo$26bob2obob3obob2obo9bo3b2ob3ob2o3bo9b3ob3ob3ob3o9bo3b2ob3ob
2o3bo$26bobob3obob3obobo9bob2ob2o3b2ob2obo8b4o2bobobo2b4o8bob2ob2o3b2o
b2obo$26bo5b2ob2o5bo9b4o4bo4b4o8bo3b2ob3ob2o3bo8b4o4bo4b4o$26bobo5bo5b
obo9bobo4bobo4bobo11bob2obob2obo11bobo4bobo4bobo$26b6o5b6o9bob3ob5ob3o
bo14b2ob2o14bob3ob5ob3obo$26bo5bobobo5bo9bo3b2ob3ob2o3bo12bo2b3o2bo12b
o3b2ob3ob2o3bo$29b4obob4o12b2obob2obob2obob2o10b2o3bobo3b2o10b2obob2ob
ob2obob2o$27bob11obo11b6obob6o12bo2b2ob2o2bo12b6obob6o$27b2ob4ob4ob2o
11bob2o2b3o2b2obo10b4o2bobo2b4o10bob2o2b3o2b2obo$27bobo4bo4bobo11b4o2b
obo2b4o9b4o9b4o9b4o2bobo2b4o$27b2o3b5o3b2o11bob4obob4obo11bob9obo11bob
4obob4obo$27bobob3ob3obobo11bo2b2ob3ob2o2bo10bo2b2o2bo2b2o2bo10bo2b2ob
3ob2o2bo$27bo2bo3bo3bo2bo11b3obob3obob3o10b3o2b2ob2o2b3o10b3obob3obob
3o$29b4obob4o14b5obob5o11b5ob3ob5o11b5obob5o$32bo3bo17bo4bobo4bo11b2o
2bobobobo2b2o11bo4bobo4bo$28bo2bobobobo2bo13bo3b5o3bo11b4o3bo3b4o11bo
3b5o3bo$28bo2b7o2bo13bo2bob3obo2bo11bob3ob3ob3obo11bo2bob3obo2bo$28bob
2o2bo2b2obo13bo2b2o3b2o2bo12b4o5b4o12bo2b2o3b2o2bo$28bobo2b3o2bobo13b
6ob6o12b5o3b5o12b6ob6o$28bobob5obobo13bob3o3b3obo10bobob2o5b2obobo10bo
b3o3b3obo$28bo11bo13b4o5b4o10bo4bob3obo4bo10b4o5b4o$30b2o5b2o16b3o5b3o
13b3obobobob3o13b3o5b3o$34bo20bo4bo4bo15b2ob3ob2o15bo4bo4bo$29bo2b5o2b
o18bo3bo15bo2b9o2bo15bo3bo$32bobobo22bobo19bob2ob2obo19bobo$33b3o23b3o
19b3o3b3o19b3o$31b3ob3o19bobobobo19b2ob2o19bobobobo$31bobobobo19bobobo
bo18bo2bo2bo18bobobobo$31bob3obo20b2ob2o20bobobo20b2ob2o$32b2ob2o19b3o
3b3o18b5o18b3o3b3o$30bob2ob2obo17bobobobobo14b4o5b4o14bobobobobo$30bo
2bobo2bo17b3o3b3o14b2obo2bo2bob2o13b4o3b4o$32b5o19bobobobobo20bo19b2o
2b3o2b2o$56bo2b3o2bo15bob2obob2obo15bo2b3o2bo$31bo5bo18b4ob4o16b9o18b
5o$56bob5obo16bo3bo3bo15bo2b5o2bo$57bob3obo15bo3b2ob2o3bo17b3o$55bobob
obobobo13bo2bobobobo2bo16b5o$55b3o2bo2b3o13b2o4bo4b2o14b9o$57b7o15bob
2ob3ob2obo14b3obob3o$53bob3o5b3obo11b3o2b3o2b3o15bo2bo2bo$53bobobo5bob
obo10b5o2bo2b5o15b2ob2o$52b2obob2o3b2obob2o9bo2b4ob4o2bo14b3ob3o$52b2o
b3o5b3ob2o10b2obob3obob2o14bob2ob2obo$52b2o3bobobobo3b2o10bobo2bobo2bo
bo14b2obobob2o$52b2ob2obobobob2ob2o9b4obobobob4o13b2obobob2o$52b2obobo
bobobobob2o9bob11obo13b9o$52b5obobobob5o8b3o2bo2bo2bo2b3o12bob5obo$53b
15o9bobobobobobobobobo11b4o3b4o$53b2o5bo5b2o9b5ob2ob2ob5o9b2o5bo5b2o$
52b2ob2o3bo3b2ob2o9b2ob9ob2o10b3ob2o3b2ob3o$54b2o2bobobo2b2o11b3ob3ob
3ob3o11b3obo3bob3o$54b13o12b13o13b4o3b4o$53b2ob3o3b3ob2o11b13o11bo2bo
7bo2bo$53b5obobob5o11b2o9b2o13b3o5b3o$54bobob2ob2obobo16bo3bo17bobo5bo
bo$52bob2o2b5o2b2obo10bo3bo3bo3bo12b4o2bo2b4o$55b11o11bobo3bo3bo3bobo
10b2obobobobob2o$55b2ob5ob2o14b2o2b3o2b2o14b2ob5ob2o$54b6ob6o12bobob5o
bobo11b4o7b4o$54bo3b2ob2o3bo15b2obob2o15b13o$57b3ob3o14b3o4bo4b3o12b3o
b3ob3o$57b2o3b2o15b2o4bo4b2o10b5o2b3o2b5o$59b3o18b2obobobob2o12bob4o3b
4obo$58bo3bo15bobobo2bo2bobobo10b2obobo3bobob2o$58bo3bo15b3obob3obob3o
10b2o2b2o3b2o2b2o$78bobobob3obobobo10b2obobo3bobob2o$52bobo3bobobo3bob
o9b3obob3obob3o9b3ob3o3b3ob3o$53bob2o2b3o2b2obo10bob2o3bo3b2obo9bob3ob
o3bob3obo$53b2ob9ob2o10bo2bobo3bobo2bo9bobob3o3b3obobo$52b5ob5ob5o9b5o
b3ob5o9bo3bo7bo3bo$52bo3bob5obo3bo9bob4o3b4obo9b8ob8o$56b2o2bo2b2o14bo
3bo3bo3bo10bobob9obobo$56bobobobobo12bobo11bobo8bob6ob6obo$56b2ob3ob2o
12bobo11bobo8b6ob3ob6o$56bob2ob2obo12bobo4b3o4bobo8bobobob5obobobo$56b
9o12b17o8bo3bob5obo3bo$57b3ob3o13bob3ob5ob3obo8bo3b9o3bo$57b7o13bo3b3o
bob3o3bo8bobo2bo5bo2bobo$58bobobo14bo3b9o3bo8bobo2bo5bo2bobo$59bobo15b
o2b4o3b4o2bo8b2obobo5bobob2o$56b9o12bo2bobo2bo2bobo2bo8bob3obo3bob3obo
$56bo3bo3bo12bo4b3ob3o4bo8bo2b4obob4o2bo$56bob2ob2obo12bo5bobobo5bo8b
6obobob6o$58b5o14bo5bo3bo5bo8bob5obob5obo$54bobobo3bobobo10bo7bo7bo8b
2ob2o2bobo2b2ob2o$55b5ob5o11bo6b3o6bo8bob4o5b4obo$56b9o12bo2b3o5b3o2bo
8bo2b2o2bobo2b2o2bo$53b4o2bobo2b4o9bo2b3o5b3o2bo8b4ob7ob4o$54bobo7bobo
10bo3b3o3b3o3bo8bobob3obob3obobo$54b2obobobobob2o10bo3bob2ob2obo3bo8b
2o2b2obobob2o2b2o$54b13o10bo3bob5obo3bo8bob2ob3ob3ob2obo$55b4obob4o11b
o3b2obobob2o3bo8bo2b2o2b3o2b2o2bo$57b2obob2o13bo3bob5obo3bo11b2obo3bob
2o$53b15o9bo3b9o3bo9bobob2o3b2obobo$53bob4obob4obo9bo5b5o5bo10bob9obo$
53bo2b4ob4o2bo9bo4b7o4bo12bob5obo$55b3o5b3o11bo4bo5bo4bo9bob2o3bo3b2ob
o$57b7o13bo15bo9b2o2bo2bo2bo2b2o$54bo11bo10bo4b3ob3o4bo9bobo4bo4bobo$
58bo3bo14bo3b4ob4o3bo9b3o2bobobo2b3o$77bob2o3b3o3b2obo9bob3obobob3obo$
77bob3obobobob3obo9bo2bob5obo2bo$77bo2b3ob3ob3o2bo9bob3ob3ob3obo$77b6o
2bo2b6o9bob2o7b2obo$77bob2obob3obob2obo9bob2o2bobo2b2obo$77bob2ob7ob2o
bo9b15o$77b3ob2ob3ob2ob3o11b2o3bo3b2o$77bo2bo2b5o2bo2bo10b6ob6o$77b2ob
5ob5ob2o10bo2bob3obo2bo$77bobob2o2bo2b2obobo13bo2bo2bo$77bo4b3ob3o4bo
15bobo$77bo3bo2b3o2bo3bo12b3obob3o$77bo2b3obobob3o2bo11b2ob2ob2ob2o$
77bo2b4obob4o2bo9bobob7obobo$77bo2bob3ob3obo2bo8b3o2bobobobo2b3o$77bob
5obob5obo10bob3obob3obo$77bob3ob5ob3obo9b3obobobobob3o$77bob2obob3obob
2obo9b3obo2bo2bob3o$77bo4b7o4bo11bobo5bobo$79b2o9b2o10b2obob2obob2obob
2o$102bob2obobobobob2obo$78bo2bo7bo2bo9bo3b2ob3ob2o3bo$102bo4b3ob3o4bo
$102bo3b9o3bo$102bo2b2o2b3o2b2o2bo$102bo3b4ob4o3bo$102b2ob3o2bo2b3ob2o
$102bo2b2ob5ob2o2bo$102bo2b4o3b4o2bo$102bob2obobobobob2obo$102bob2obo
2bo2bob2obo$102b17o$102bob2obob3obob2obo$102b2obo2bobobo2bob2o$102bobo
b2obobob2obobo$102b2obobob3obobob2o$102bobobobo3bobobobo$102b2ob3ob3ob
3ob2o$102bob2ob3ob3ob2obo$102b3ob3o3b3ob3o$102bob3o3bo3b3obo$102bobob
2ob3ob2obobo$102b2ob11ob2o$102bob5obob5obo$102b2obob2obob2obob2o$102bo
b4ob3ob4obo$102b5ob5ob5o$102bob4ob3ob4obo$102bobo4bobo4bobo$102bob2o3b
obo3b2obo$102bo2b2o3bo3b2o2bo$102bob4o2bo2b4obo$102b3ob3obob3ob3o$102b
obobo3bo3bobobo$102b6o5b6o$102bob2obo2bo2bob2obo$102bo2bob2o3b2obo2bo$
102b3ob2obobob2ob3o$103b3obob3obob3o$103bobo3b3o3bobo$106b9o$104bob9ob
o$103bo2bo7bo2bo$102b3o2bo5bo2b3o$103bob2o7b2obo$103b2obo7bob2o$104bo
3bo3bo3bo$102bobo11bobo$102bob3o7b3obo$102b7o3b7o$102bob2obo5bob2obo$
102bob3o2bobo2b3obo$102b2ob4obob4ob2o$102bob2o2b2ob2o2b2obo$102b2ob2o
2b3o2b2ob2o$102bobo3b5o3bobo$102b4ob7ob4o$102bob2obobobobob2obo$102b2o
bob7obob2o$102bobo3b5o3bobo$102b2obob2obob2obob2o$102bobo3bobobo3bobo$
102b2o3bob3obo3b2o$102bobo2bo2bo2bo2bobo$102b2o2bob5obo2b2o$102bob13ob
o$102b2obob7obob2o$102bob3obo3bob3obo$102b2obo3b3o3bob2o$102bob2obo2bo
2bob2obo$102b2ob3o2bo2b3ob2o$102bobob3obob3obobo$102b7obob7o$102bo2b3o
bobob3o2bo$102bo2bo3b3o3bo2bo$102bobob2o2bo2b2obobo$102b3o2bob3obo2b3o
$102bo2b5ob5o2bo$102bo2b2o3bo3b2o2bo$102bo2b3o2bo2b3o2bo$102bo4bo2bo2b
o4bo$102bo3bob5obo3bo$102bo4b2obob2o4bo$102bo4b3ob3o4bo$102bo2bobob3ob
obo2bo$102bo2bob3ob3obo2bo$102bo2b2obobobob2o2bo$102bo2b5ob5o2bo$102bo
2bo4bo4bo2bo$102bo3bo2b3o2bo3bo$102bo3bob5obo3bo$102bo2bobobobobobo2bo
$102bo2b2obobobob2o2bo$102bo3b4ob4o3bo$102bo2b3o5b3o2bo$102bob5obob5ob
o$102b5obo3bob5o$104b2obob3obob2o$103b4obo3bob4o$103bo2b2obobob2o2bo$
109b3o$108b5o$106b2obobob2o$106bobobobobo$105b3o2bo2b3o$105b5ob5o$105b
ob7obo$104bo2b7o2bo$104b3ob2ob2ob3o$104b2obob3obob2o$104b3o3bo3b3o$
104bobobo3bobobo$105b11o$105b2ob5ob2o$103bobob7obobo$104b2obo2bo2bob2o
$104bobobobobobobo$102b2obob2o3b2obob2o$104b3obobobob3o$103b3obob3obob
3o$103bo2bobo3bobo2bo$102b2obob7obob2o$105bo3b3o3bo$103bobob7obobo$
103bobo2bo3bo2bobo$103b2o3bo3bo3b2o$103bob2obo3bob2obo$103b3o2bo3bo2b
3o$103bobo2bo3bo2bobo$103b3o2bobobo2b3o$104b3obo3bob3o$104b2o2bobobo2b
2o$108bobobo$104b13o$103b2obob5obob2o$104bo2b2obob2o2bo$104b3ob5ob3o$
104bobo2bobo2bobo$104b2o2bobobo2b2o$104bobob2ob2obobo$104b5obob5o$104b
ob2obobob2obo$104b2ob2obob2ob2o$104bobob2ob2obobo$104b3obobobob3o$104b
ob4ob4obo$104b3o7b3o$104bobo7bobo$104b3o3bo3b3o$104bobo2bobo2bobo$104b
3o2b3o2b3o$104bo2bobobobo2bo$103b4ob5ob4o$104bob2o2bo2b2obo$104bo2b7o
2bo$102b3o2bob3obo2b3o$102bobo2bobobobo2bobo$102bobobob2ob2obobobo$
102b3o5bo5b3o$106b4ob4o$103b3ob3ob3ob3o$103b7ob7o$104b2o2b5o2b2o$104bo
2b7o2bo$104bo3bobobo3bo$104bo2b2obob2o2bo$107bob3obo$105bo3b3o3bo$105b
obo2bo2bobo$104b3o2bobo2b3o$105bob3ob3obo$107b2obob2o$105bob2o3b2obo$
104b4o5b4o$103b2obo7bob2o$105b2o3bo3b2o$102bob3o2bobo2b3obo$102b4ob2o
3b2ob4o$103b4obobobob4o$103b2obo2bobo2bob2o$105bo2bo3bo2bo$104b4o2bo2b
4o$104b5obob5o$102b2o13b2o$102bob5obob5obo$102b3ob3o3b3ob3o$103b7ob7o$
103bobo2b5o2bobo$103b2ob9ob2o$103b2o3b2ob2o3b2o$103bob3o2bo2b3obo$104b
2o4bo4b2o$107bobobobo$104b13o$102bobo11bobo$102b3o11b3o$102bobo5bo5bob
o$102bobobo2b3o2bobobo$102b2ob3o5b3ob2o$102bob2obobobobob2obo$102bo3b
2o5b2o3bo$102bo3b3o3b3o3bo$102bo2bob7obo2bo$102bo4b2obob2o4bo$102bo6bo
bo6bo$102bo5b5o5bo$102bo6bobo6bo$102bo6b3o6bo$102bo3b2o5b2o3bo$102bo2b
3o5b3o2bo$102bo3bo7bo3bo$102bo3bobo3bobo3bo$102bo3b2o2bo2b2o3bo$102bo
3bob5obo3bo$102bo3b2ob3ob2o3bo$102bo3bob5obo3bo$102bo3b4ob4o3bo$102bo
4b2o3b2o4bo$102bo4bo5bo4bo$102bo3b2o5b2o3bo$102bo3bo2b3o2bo3bo$102bo4b
7o4bo$102bob2obo2bo2bob2obo$102bob5obob5obo$102b7o3b7o$102bob5obob5obo
$102b7obob7o$102bobobob2ob2obobobo$102bo2bob2o3b2obo2bo$102bobob4ob4ob
obo$102bob2ob7ob2obo$102bob2o3bobo3b2obo$102bo3bob5obo3bo$102bo3bob2ob
2obo3bo$102bo5bobobo5bo$102bo3b4ob4o3bo$102bo2b4obob4o2bo$102bo3b4ob4o
3bo$102bo2bo2bobobo2bo2bo$102bob2obo2bo2bob2obo$102b17o$104b2o9b2o$
103b4o7b4o$103bo2bo7bo2bo!

P2,P3,P4,P5,P6,P7,P14:

Code: Select all

x = 115, y = 59, rule = B2-a3acejr4-anwz5-anry6-an7c8/S12aei3-jn4aijntwz5-eiqr6aen78
3bo8b2o11bo3bo14bo20bo18bo20bo$bobo8bo10b3o3b3o9bo2bo2bo17b3o14b3o17bo
2bo$2bob2o10bo7b3ob3o10bo2bo2bo14bo20b3o14b7o$2ob3o9b2o7b7o8b2obobobob
2o14bo13bo4b3o14b3o2b4o$2b5o7b4o8b3o10b11o13b5o10b4o2b4o10b4o4b3o$2b3o
11b2o8bo11b13o9b2o2b2o14bo4b3o10b4o4b5o$4bo33b13o10bo2bo15bo4b2o9b6o4b
5o$40b2o2bo2b2o12bo2bo13b4o2b3o9b6ob2ob7o$40b2o2bo2b2o29bo4b3o9b6o2b2o
2b6o$14bo68b3o7b4o14b3o$3bo10b3o65b3o10bo4b2ob2ob2o4bo$3bo9b3o68bo10bo
4b2ob2ob2o4bo$b2ob2o7b2o51bo27b3o14b4o$b5o6b4o43b2o2bo2bo28b6o2b2o2b6o
$2b3o9b3o42bo5b2o28b7ob2ob6o$2b3o9bo47b6o13bo15b5o4b6o$b5o55b7o13b3o
13b5o4b4o$b2ob2o53bob5o13b7o13b3o4b4o$3bo57b3o15b3ob3o13b4o2b3o$3bo8b
2o2bo43b4o13b11o13b7o$12bo2b2o41b5o14b3obobob3o14bo2bo$13b5o43b2o13b4o
5b4o13bo$11b7o58b5o3b5o$14b2o62b2o2bo2b2o$78b2o2bo2b2o2$57b2o3bo3b2o$
57b2o7b2o$12b2o2bo39b4obobob4o$12bo2b2o39b6ob6o$14b4o40b4ob4o15b2o$13b
3o42b9o13b6o$12b3o45b5o15b6o$14bo45bo2b2o13b4o2b4o$78b3o4b3o$76b4obo2b
ob4o$76b5ob2ob5o$14b2o59b3o2bo4bo2b3o$12b6o59bo2bo4bo2bo$12b6o$11b9o$
11b2obo2b3o$13bo4b3o$13bo4b3o$11b2obo2b3o$11b9o$12b6o$12b6o$14b2o5$8bo
3bo4bo3bo$8b2ob2o4b2ob2o$7b5ob4ob5o$7b16o$9b5o2b5o$9bo2b2o2b2o2bo!

[AforAmpere]

Rule #2 ships:

Code: Select all

x = 170, y = 50, rule = B2eik3ciy4ijnrtw5-ae7/S12eik3-cer4eikqry5-ekqy7c
b2o10bo3bo12bo6bo18bo20bobobo10bo6bo10b5o11b3o2b3o14b3o11b3ob3o$o2bo9b
obobo11bobo4bobo15b2ob2o17b7o9bo2b2o2bo11bobo12bo2b2o2bo14b3o10b4ob4o$
13b5o10b2o3b2o3b2o10bo11bo12b2o5b2o8b8o9bo5bo9bob6obo12bobobo10b3ob3o$
15bo13bo2b4o2bo10b5o5b5o27bo2b4o2bo8b7o13b2o16b2ob2o11b2ob2o$13b2ob2o
15b2o14bobo3b3o3bobo12bo5bo26b2obob2o8b2o8b2o11b2ob2o9b9o$10b3o2bo2b3o
7bo10bo8b2o3bobobobo3b2o11b2o3b2o8bobo4bobo7b2o2bo2b2o7b2obo4bob2o11bo
bobo9b2o5b2o$9bobo3bo3bobo26b3o2bob3obo2b3o13bobo9b4ob2ob4o8b2ob2o10b
2o2b2o2b2o13b3o10bob5obo$13b5o31bobo3bobo3bobo14bobo14b2o12bob3obo7bob
3ob2ob3obo24b2obobob2o$11bob2ob2obo29bo2b2ob3ob2o2bo14bobo12bo4bo10bob
obobo11b6o15b3o12bobobo$11b2o5b2o32b2obobob2o16b5o30bo10bobo8bobo24bo
2bobo2bo$11bo7bo33b7o19bo11bob6obo10b3o12b8o15bo11bob5obo$53bo2bo2bo
19bo11b2o2b2o2b2o11bo12b4o2b4o28b5o$52bo3bo3bo15bo2bo2bo12b2o52bo12bob
obobo$50bo3b2ob2o3bo12bobobobobo7bob2o2b2obo27b4o16b3o13b3o$50bobo2bob
o2bobo13bo2bo2bo8b2o6b2o26b6o14b2ob2o10bobobobo$48b4o2b2ob2o2b4o9b2o3b
o3b2o7bo6bo26b3o2b3o29b2ob2o$49b3obobobobob3o11bobobobobo7bo2bo2bo2bo
28b2o17b3o$49b4obo3bob4o15bo11b2o6b2o23b3o6b3o28b3o$49b4o3bo3b4o13b5o
41b4o2b2o2b4o28bo$48bo2bo2b2ob2o2bo2bo14bo43bo5b2o5bo28bo$49b2obo7bob
2o61bobo4bobo12bobobo13bo$50b5o3b5o62bobob2obobo11bob3obo12bo$51b4o3b
4o62bobo2b2o2bobo10b3ob3o12bo$50b2o2b5o2b2o64bo4bo13bob3obo$49bob3o2bo
2b3obo60b2o8b2o11b5o11b5o$50bo2bo2bo2bo2bo62b2o6b2o26b3obob3o$50b2ob7o
b2o61b3o6b3o11b2ob2o10bobobobo$49b3obob3obob3o60b3o6b3o11b2ob2o9b4ob4o
$49bob2obobobob2obo61bobo4bobo14bo12b2o3b2o$48bobo3b2ob2o3bobo61bo6bo$
125bob2o2b2obo13b3o$48bob3o7b3obo60bob2o2b2obo11b3ob3o$47b2o2b11o2b2o
61bo4bo$51b2o2bobo2b2o63b3o4b3o$52bob5obo65bobo2bobo$50bo4bobo4bo62bo
2bo2bo2bo$50bob9obo61b2o2b4o2b2o$50bobob5obobo64b6o$48bobo11bobo60bo8b
o$48b2o5bobo5b2o60bo2bo2bo2bo$55b3o66b5o2b5o$53b2obob2o63bo2b8o2bo$
123bo2bo2b2o2bo2bo2$55b3o71b2o$55b3o70b4o$129b2o$128bo2bo$129b2o$128bo
2bo!

[LaundryPizza03]

2 c/3o's and a c/4o in rule 61:

Code: Select all

x = 47, y = 22, rule = B2-ak3ceir4aejky5-ekq6-a78/S01e2cin3-ijqr4aciry5-cky6ack78
3bo11b2o8b2o6b2o5bo3bo$15bo18b2o8bobo$2bo2bo7bobo7bo2bo8bo6bobo$13bo
11b2o7b3o6b2o$obo2bobo17bo18b2o$bo4bo5bo2bo7bobo8b2o$23bo21bo$10bobo2b
obo15bo8bo$11bo4bo5bo2bo15b6o$32bo2bo4b2o3b2o$20bobo2bobo13bo2b2o$21bo
4bo3bobo2bobo3bo2b2o$31bo4bo$42b3o$44bo2$45bo$42b4o$45bo$44bobo$45bo$
45bo!

It is not apgsearchable since it congregates too easily, forming too many large objects. Typical behavior in 2x128:

Code: Select all

x = 128, y = 2, rule = B2-ak3ceir4aejky5-ekq6-a78/S01e2cin3-ijqr4aciry5-cky6ack78
4obo2b2o2bo3b3o3b2o2b2o5b2ob3obobob4obo3bo3bobobob2ob2o2bo2b4o2b3o2b2o
bob3obo2b6ob2o2b5o2bob3ob2obob2o$2bo3b5o5b2obo3b2o2b2obob3obob3o4bob2o
2b3obob2ob3o2bobo2bob3ob4ob3ob4o2bo7bob2ob4obo2b6o3bobob2o!

Rule 42 explodes on odd symmetry, but is apgsearchable in D2_x. It has a natural c/8 diagonal spaceship, a c/3o wickstretcher, a 3c/32 diagonal block puffer, and a 2c/6o spaceship. Unnaturally, there are also various c/3o and c/4o spaceships and at least one c/5o.

Code: Select all

x = 152, y = 48, rule = B2cek3cky4cektwz5qr6ckn7/S01c2aen3-eir4-aiqz5-acy6e
2b2o5b3o7bo12b9o10b2ob2ob2o8bo3b2o5b2o11b2o12b2o12bo5bo4b3o15bo$2b2o7b
2o17bobo7bobo10bo2bo11bobo2bo3b2o13b2o10bo2bo10b4ob4o4bo$obobo5bob2o4b
ob2o7b2obob5obob2o8b2o2b2o9bob5o4bobo4bo4bobo4b5o2b4o2b5o4b2o3b2o5b2o$
bo7bo2bo8b2o6b2ob2o5b2ob2o8b2o2b2o10b2obob2o3b2o3b5o3b2o4bobo4bo2bo4bo
bo4b3ob3o16bo2bo5bo$8bob4o3b4o8b2ob2o5b2ob2o8b6o11bobo7bob2ob3ob2obo
10bobo2bobo7bobo5bobo$18bo3bo8bo9bo7b2o2bo2bo2b2o6b2o2b3o5bobo2b3o2bob
o8b2obob2obob2o7b2o3b2o19bo$18bob3o7b2o9b2o6bo2bo4bo2bo8bo2b2o6bo9bo9b
2o2bo2bo2b2o8b5o20b2obo$20b2obo5b3o9b3o4b2o10b2o7b2obobo7bo5bo12bobob
2obobo9bo3bo$30b4o5b4o5bobo8bobo9bo11bobobo11b2obobo2bobob2o7bo3bo$19b
obob2o6bob3ob3obo5b3o10b3o36bo4bo2bo4bo6b7o$20bo9bobob2ob2obobo7bo8bo
11bo11b2ob2o12b5o2b5o8b2ob2o$24bo6bob7obo42bobo14b2o6b2o10bobo$25bo6b
4ob4o41b2obob2o31bo3bo$21b2o11b2ob2o44b2ob2o13bobo4bobo$23bo10b5o44bob
obo12b2o8b2o7bo5bo$20b4o8bob2ob2obo43bobo13b2o8b2o9bobo$20b2o9b2o3bo3b
2o39bo3bo3bo10b4ob2ob4o8b5o$19bobobo7bob2obob2obo39b2obobob2o11b3o4b3o
9b2ob2o$22bo7bo2bobobobo2bo38b3o3b3o9bo3b6o3bo6bobobobo$31bobo5bobo38b
ob3ob3obo7b4o3b2o3b4o5b2obob2o$32bobo3bobo40b2obobob2o12b3o2b3o10b5o$
32b2o5b2o38bo3bo3bo3bo10bo6bo11b3o$32b2o5b2o61bobo2bobo$30bobobo3bobob
o40b5o13bob2o2b2obo$31bo9bo42bobo14bobo4bobo$84bobo16b2o2b2o$79bo11bo
9b3o4b3o$80bo3bobo3bo12bo4bo$78bo5bobo5bo$83bobobo14b2ob2ob2o$78bob2ob
o3bob2obo9b2o4b2o$81bobo3bobo12bo6bo$80b3o5b3o9b2o2bo2bo2b2o$80bobo5bo
bo6bo2b4o4b4o2bo$79bobobo3bobobo5bob2obobo2bobob2obo$79bobobo3bobobo5b
o5bo4bo5bo$78b2obobobobobob2o4b3o2bo6bo2b3o$78b7ob7o6bo12bo$79bo2bo2bo
2bo2bo6bobo10bobo$82bo5bo$78b2o2b2o3b2o2b2o$80b4o3b4o7b3o10b3o$80bob2o
3b2obo7bob2o8b2obo$79bobo7bobo6bob2o2bo2bo2b2obo$101bo8bo$98bo3b2ob2ob
2o3bo$99bob2obo2bob2obo$101bobo4bobo!

Oscillator collection:

Code: Select all

x = 123, y = 169, rule = B2cek3cky4cektwz5qr6ckn7/S01c2aen3-eir4-aiqz5-acy6e
92b2o2b2o15bo$112bo$85bo4bo8bo$9bo10bo2bo3b2o2b2o3bo4bo4b2o37bo4bo8bo
12bo$9bo13b2o2b2o3b2o3b2o2b2o3b2o62b3o$37bo4b2o2b2o63b3o$85bo4bo8bo11b
o$9bo42b2o31bo4bo8bo$9bo10bo6bo7bo4b2o5bo4b2o$20b2o4b2o5b3o4bo4b2o4b2o
bo$22b2o4bo5b3o2b4o2b4o4bob2o$23bo5b2o3bo6bo5b2o3bob2o29bo4bo8bo$9bo
19bo10b2o4bo7bo30bo4bo8bo$9bo2$85bo4bo8bo$9bo75bo4bo8bo$9bo$92b2o2b2o
12$2b2o2b2o12bo2bo3b2o3bo59b2o2b2o16b2o$21bo5bo4b2o76bo3bo$9bo11b2o5b
2o55bo13bo11bobo$9bo13bo4b2o3b2o50bo13bo14b2o$34bo79bo2$9bo12bo62bo13b
o$9bo12b3o60bo13bo$20b2o2bo4b2ob2o$2b2o2b2o13bo2b2o3bo2bo59b2o2b2o$21b
3o$o22bo61bo4bo$o84bo4bo2$21bo$o19b2o63bo4bo$o21bob2o59bo4bo$23b2o$2b
2o2b2o14b2o68b2o2b2o$22bo11$2b2o2b2o13b2ob2o4b2o8bo11bo39b2o2b2o12bo$
20b2o3b2o4b3o8b2o6b2o58b2o$9bo11b2ob2o7b3o5b2ob2o4bob2o31bo13bo11bo$9b
o25b2o4bobob2o2bobobobo29bo13bo11bo$42bobo6b2obo$42b2o9b2o58bobo$9bo
10b2o21bo8bo32bo13bo14b3o$9bo11b2o62bo13bo14bob2o$24b2o7bo2bo77b3o$2b
2o2b2o15bobo5b2o4b2o78bo$24bo7b2o2b2o$9bo12bo3bo58bo13bo19b3o$9bo16b2o
57bo13bo21b2o$27bo2$9bo75bo13bo$9bo75bo13bo2$2b2o2b2o12$25b2o5bo7b2o
10b2o24b2o2b2o8b2o2b2o$21bo3bo4b2ob2o6bobo6bo2bo$o8bo13bo8bo5bo3bo7bo
34bo13bo15bo$o8bo12b2o6b5o3b2obob2o3bo2b2o32bo13bo14bo$31bobo6bo3bo4bo
63b3o4bo$20b2o17bobo8bo61bob2o4b2o$o8bo10bo20b2o4bo37bo13bo21bo$o8bo
75bo13bo2$2b2o2b2o15bo54b2o2b2o8b2o2b2o$22b2obo88b2o$9bo14bo51bo13bo
24b2o$9bo10bobo2b2o49bo13bo$22b2obo2$9bo13bo52bo13bo$9bo66bo13bo2$78b
2o2b2o8b2o2b2o12$2b2o2b2o17bo4b2o2b2o7bo9bo24b2o2b2o8b2o2b2o$21bobo6b
2o2b2o5b2o10b2o61bo$o21b3o7b2o7bobo41bo4bo24bo$o20b3o8b2o6bobo2b2o3b2o
bo2bo28bo4bo27bo$22bobo5b2o2b2o10b2o3bo2bob2o59bo$20bo9b2o2b2o7bo68bo$
o42b2o8b2o30bo4bo20bo$o43bo9bo30bo4bo23bo$113bo$2b2o2b2o17bo52b2o2b2o
8b2o2b2o$26b2o$9bo12bo2bobo48bo13bo8bo$9bo14bobo49bo13bo8bo$23b2o2b2o$
20bobo3b2o$9bo11bobob2o49bo13bo8bo$9bo11b2ob2o50bo13bo8bo$24bo$2b2o2b
2o70b2o2b2o8b2o2b2o12$2b2o2b2o48bo6bo$40b3o6b2o4b2o6b2o$o21bo5bo8b2o2b
o2bo3b3o4bo6bobo$o24bo9b2o3b3o5b2o2bo7b2obobo2bo$24bobo8bobo13bo9b2ob
2ob2o$23bobobo6bobo13bobo10b2o$o23bobo7bo3bo$o24bo38bo$22bo5bo4bobo12b
2o13b2o$2b2o2b2o25b3o11b2o$33bobo$o8bo$o8bo24bo3$o8bo$o8bo2$2b2o2b2o!

[LaundryPizza03]

I have decided to start a new project to explore the overall properties of non-relativistic rules and the objects in them. I have randomly generated 100 non-relativistic rules.

I wonder, how do you test or know that they are non-relativistic ... is some source code available ?

BTW, non-relativistic rules ... does it mean: no ships with speed above c/2? (or no explosions with speed above c/2 ??)
(I am a false beginner.)

In simpler terms, non-relativstic means that speeds greater than c/2 are impossible.

In order to be fertile (having a pattern that escapes to infinity, such as a spaceship), a nonrelativistic rule without B0 must have at least one of B2c or B3i and at least one of B2e and B3a. The three combinations for each of these (B2c/B3i/B2c3i and B2e/B3a/B2e3a) are weighted equally and independently so that all fertile nonrelativstic rules (of which there are 9*2^94 ≈ 1.78*10^29) are selected with equal probability. The full source code is as follows:

Code: Select all

import random

Hensel = [
    '0',
    '1c', '1e',
    '2a', '2c', '2e', '2i', '2k', '2n',
    '3a', '3c', '3e', '3i', '3j', '3k', '3n', '3q', '3r', '3y',
    '4a', '4c', '4e', '4i', '4j', '4k', '4n', '4q', '4r', '4t', '4w', '4y', '4z',
    '5a', '5c', '5e', '5i', '5j', '5k', '5n', '5q', '5r', '5y',
    '6a', '6c', '6e', '6i', '6k', '6n',
    '7c', '7e',
    '8'
]

def randomize():
    rule = "B" #Add birth transitions first
    bbesc = random.choice(['2c', '3i', '2c3i']) #A fertile, nonrelativistic rule must have at least one of B2c or B3i...
    bdesc = random.choice(['2e', '3a', '2e3a']) #...and at least one of B2e and B3a
    
    #Randomly add transitions in alphabetical order, except B0, B1c, B1e, B2a, B2c, B2e, B3a, and B3i
    if bbesc == '2c' or bbesc == '2c3i': rule += '2c'
    if bdesc == '2e' or bdesc == '2e3a': rule += '2e'
    for trans in Hensel[6:9]: #B2i, B2k, B2n
        if random.choice([False, True]): rule += trans
    if bdesc == '3a' or bdesc == '2e3a': rule += '3a'
    for trans in Hensel[10:12]: #B3c, B3e
        if random.choice([False, True]): rule += trans
    if bbesc == '3i' or bbesc == '2c3i': rule += '3i'
    for trans in Hensel[13:]: #All others
        if random.choice([False, True]): rule += trans
    
    rule += "/S" #Randomly generate survival transitions, with no restrictions
    for trans in Hensel:
        if random.choice([False, True]): rule += trans
    
    return rulestringopt(rule) #Auto-simplify
    

def rulestringopt(a):
    result = ''
    context = ''
    lastnum = ''
    lastcontext = ''
    for i in a:
        if i in 'BS':
            context = i
            result += i
        elif i in '012345678':
            if (i == lastnum) and (lastcontext == context):
                pass
            else:
                lastcontext = context
                lastnum = i
                result += i
        else:
            result += i
        lastcontext = context
    result = result.replace('4aceijknqrtwyz', '4')
    result = result.replace('3aceijknqry', '3')
    result = result.replace('5aceijknqry', '5')
    result = result.replace('2aceikn', '2')
    result = result.replace('6aceikn', '6')
    result = result.replace('1ce', '1')
    result = result.replace('7ce', '7')
    
    def subseq(A,i):
        S = []
        for j in range(len(A)):
            if i & 2**j: S.append(A[j])
        return S
    
    def minus(result, i, lets, thr):
        N = 2**len(lets) - 1
        s = result
        for ii in range(N):
            draw = str(i) + ''.join(subseq(lets, N-ii))
            if len(draw) <= thr: continue
            minus = str(i) + '-' + ''.join(subseq(lets, ii)) #Exactly the complement
            s = s.replace(draw,minus)
        return s
    
    result = minus(result,4,'aceijknqrtwyz',8)
    result = minus(result,3,'aceijknqry',6)
    result = minus(result,5,'aceijknqry',6)
    result = minus(result,2,'aceikn',4)
    result = minus(result,6,'aceikn',4)
    return result

for i in range(100): print(randomize())

[LaundryPizza03]

Rule 22 has a simple failedrep puffer with speed 12c/24o.

Code: Select all

x = 2, y = 4, rule = B2en3cinqy4cknz5jqr6-in7c8/S01e2kn3ejkq4eijknqz5ckq6-a8
o$bo$bo$o!

It can be turned into a breeder for said puffer by adding a single dot. Otherwise, the rule settles fairly quickly.

Code: Select all

x = 6, y = 4, rule = B2en3cinqy4cknz5jqr6-in7c8/S01e2kn3ejkq4eijknqz5ckq6-a8
4bo$5bo$o4bo$4bo!

The puffer and breeder are likely corderizable, but I have not succeeded in building a spaceship out of it. On the other hand, I do have the following:

Code: Select all

x = 105, y = 31, rule = B2en3cinqy4cknz5jqr6-in7c8/S01e2kn3ejkq4eijknqz5ckq6-a8
obobo5b5o6b2o2b2o3bobob2obobo4bob2o5b2obo5bo10bo3bo2bo3bo6bo10bo$2bo
19b4o6bo4bo6bo11bo5b2o2bo6b2o8b2o9bo4bo$20b2ob2ob2o5b4o10bo5bo9bo2b3o
6bo6bo8bo10bo$11b3o8bo2bo5bo2b2o2bo4bo2bo7bo2bo3bo4bo7bo8bo6bobo8bobo$
20bo6bo6b2o27b2o2bo7bo6bo$10bobobo6bob2obo6bo2bo8bo2bo3bo2bo6b2o2bo9bo
4bo10bo8bo$12bo21b2o8b4o5b4o8bo7b3o6b3o5bo12bo$22b4o38b2o6bo12bo4bo12b
o$44b3o7b3o9bo6bo2bo4bo2bo8bo6bo$46b2o5b2o11b2o6bo8bo7bo10bo$49bobo8bo
2bobobo4b3o8b3o8b2o2b2o$46bo3bo3bo7bo3b3o6bo6bo7b2obobo2bobob2o$46b2o
5b2o8bo4bo6bo2b2o2bo7bob3o4b3obo$46bo2bobo2bo6b2o2b2o9b2o2b2o7b2ob2obo
2bob2ob2o$44bo4bobo4bo5b4o11b4o8bob2o3b2o3b2obo$44bo4bobo4bo3bo3b2obo
10b2o$45bo2bo3bo2bo4b2o15bo2bo10bo10bo$45bo2bo3bo2bo5b3obo11bo2bo9bo
12bo$46b2o5b2o10bo2bo8b4o8bo14bo$61bo5b2o$62bo4bo22b2o2bo4bo2b2o$67bo
24bo8bo$63bo2bo$63bo2bo23bo2bo2b2o2bo2bo$64b2o27b8o$90bobo8bobo$89bo4b
o4bo4bo$92bobo4bobo$89b2o3bo4bo3b2o$90b2o10b2o$92bo8bo!

Although the rule is not apgsearchable, oscillators can readily be found in nature for all periods up to 8 except 5.

Code: Select all

x = 47, y = 121, rule = B2en3cinqy4cknz5jqr6-in7c8/S01e2kn3ejkq4eijknqz5ckq6-a8
6bo3$6bo$42bo$32b2o8bo$6bo3bo9b2o8b2o8b2o$43bo2$6bo3$6bo6$o2bo2bo3$6bo
2$10bo9b2ob2o5b2o11bob2o$o2bo2bo4bo21bo6b2obo$20b2ob2o5b2o2$o3$o2bo2bo
6$o2bo2bo3$6bo2$11bo$o2bo2bo3bo12bo$12b2o9bo$14bo5b2o3b2o$6bo3$o2bo2bo
6$o5bo3$o5bo2$10b3o7bobo$o2bo2bo5b3o7bobo3$6bo3$6bo6$o2bo2bo3$o$11bo$
10bo$o2bo2bo$13bo2$o5bo3$o2bo2bo6$o2bo2bo3$6bo3bo2$12bo$6bo6bo$13bo$
14bo$6bo3$6bo6$o2bo2bo3$o5bo2$10bobo$o2bo2bo5bobo$13bo2$o5bo3$o2bo2bo!

It is also possible to construct a p24 shuttle for the failedrep:

Code: Select all

x = 23, y = 4, rule = B2en3cinqy4cknz5jqr6-in7c8/S01e2kn3ejkq4eijknqz5ckq6-a8
2o7bo11b2o$8bo$8bo$2o7bo11b2o!

[yujh]

P48 also:

Code: Select all

x = 25, y = 4, rule = B2en3cinqy4cknz5jqr6-in7c8/S01e2kn3ejkq4eijknqz5ckq6-a8
2o5bo15b2o$6bo$6bo$2o5bo15b2o!

Well, the rule is apgsearchable???(searching,147 soups)
Too slow!!!!!!
yl8:

Code: Select all

x = 16, y = 16, rule = B2en3cinqy4cknz5jqr6-in7c8_S01e2kn3ejkq4eijknqz5ckq6-a8
2obo2bob2ob2o$3bob4o3b2obo$2o3bo2b4obo$b3obo6b2obo$2b2ob2o2bobob2o$b4o
bob2o2bobo$ob2ob3obob2obo$2ob2ob3o3b2obo$obo2b3o$2ob5o2bob3o$b2o6b2o2b
o$2bob2o5b2o2bo$2b3o3b2ob2o$4b2ob2o4bo$b2o5b2obo3bo$ob6o!

p6,naturally:

Code: Select all

x = 16, y = 16, rule = B2en3cinqy4cknz5jqr6-in7c8_S01e2kn3ejkq4eijknqz5ckq6-a8
2ob2ob2obo2bo$ob3o2bobob2o2bo$3b2ob2obo2bob2o$bob2o4b2obo$b2o3bob2obob
obo$obob2o2bo2bo2b2o$2ob2o2bob3o3bo$2obobob4o3bo$o5bo2bobo2b2o$3b2o3b
3ob4o$b7o3b4o$b2o2b3o4b4o$bo4b7obo$ob4o2b2o2b2o$3ob7o$b2o2bo3b5obo!

[Layz Boi]

Rule 22 has a simple failedrep puffer with speed 12c/24o.
...
The puffer and breeder are likely corderizable, but I have not succeeded in building a spaceship out of it. ...

corderized!

Code: Select all

x = 23, y = 17, rule = B2en3cinqy4cknz5jqr6-in7c8/S01e2kn3ejkq4eijknqz5ckq6-a8
2bo11bo4bo$2bo10bo$2bo12bobo$2bo11bobobo$16bo3$bo10bo$obo7b2o$obo3bo2b
o$bo2$16bo$2bo11bobobo$2bo12bobo2bobo$2bo10bo7bo$2bo11bo5bobo!

[FWKnightship]

The puffer and breeder are likely corderizable, but I have not succeeded in building a spaceship out of it.

Code: Select all

x = 21, y = 25, rule = B2en3cinqy4cknz5jqr6-in7c8/S01e2kn3ejkq4eijknqz5ckq6-a8
9b2o$8bo2bo$b2o6b2o7b2o$o2bo13bo2bo$b2o15b2o2$9bo3$9bo$10bo$10bo$11bo
2$b4o11b4o$o19bo$b3o13b3o$4bo11bo$5bo9bo4$2bo15bo$3b3o9b3o$5bo9bo!

P8 in Rule #53:

Code: Select all

x = 9, y = 7, rule = B2-a3acejr4-anwz5-anry6-an7c8/S12aei3-jn4aijntwz5-eiqr6aen78
bo$bo2bo$b2o4bo$5ob2o$2b7o$b8o$b2o2b2o!

P2,P3,P4,P10 in Rule #86:

Code: Select all

x = 37, y = 24, rule = B2cei3-knqy4cjkyz5-j6k7c/S2ack3jknqr4ajnrt5jknry6-an7c8
bo20b2o$o9b2obo8b3o7b2o$11bob2o17bo$8bo25bobo$8b2o3b2o$14bo19bo$8b2obo
$obo6bob2o10b2o$22bo2bo$22bo2bo$23b2o3$3o$2bo$2bo7$bo$b2o!

[400spartans]

Rule #69 is highly explosive. Even two cells, after interacting with each other, will quickly turn into a hot mess:

Code: Select all

x = 3, y = 1, rule = B2ce3ajnry4-acekr5-k6ac7e/S02aen3ciy4ajknrtz5enry6-ek8
obo!

This expansion appears to happen at a speed of c/4.

Despite this explosiveness, there are a lot of spaceships in this ruleset. While you'd expect even the smallest of them to be considerably long, they are actually fairly average in size:

55-cell c/2o

Code: Select all

x = 21, y = 10, rule = B2ce3ajnry4-acekr5-k6ac7e/S02aen3ciy4ajknrtz5enry6-ek8
6bo7bo$5bobo5bobo$3bo2bo2bobo2bo2bo$b2o2bobobobobobo2b2o$2b3o2bo5bo2b
3o$4bo2bo2bo2bo2bo$2obo3bobobobo3bob2o$bo7bobo7bo$3bo5bobo5bo$3bo13bo!

34-cell c/3o

Code: Select all

x = 8, y = 11, rule = B2ce3ajnry4-acekr5-k6ac7e/S02aen3ciy4ajknrtz5enry6-ek8
bo4bo$3o2b3o$obo2bobo$b6o$2bo2bo2$2b5o$2b5o$4bo$4b2o$5bo!

24-cell c/4o

Code: Select all

x = 6, y = 11, rule = B2ce3ajnry4-acekr5-k6ac7e/S02aen3ciy4ajknrtz5enry6-ek8
2bo2bo$2b2o$obobo$3bo$3bobo$2o2bo$b2o$2b2o$b4o$3bo$2b2o!

26-cell c/5o

Code: Select all

x = 10, y = 7, rule = B2ce3ajnry4-acekr5-k6ac7e/S02aen3ciy4ajknrtz5enry6-ek8
bo6bo$o2bo2bo2bo$o8bo$2b2o2b2o$2b2o2b2o$b2ob2ob2o$2b2o2b2o!

130-cell c/6o

Code: Select all

x = 14, y = 31, rule = B2ce3ajnry4-acekr5-k6ac7e/S02aen3ciy4ajknrtz5enry6-ek8
5bo2bo$3bo6bo$5b4o2$6b2o$4bob2obo$3bobo2bobo$3bo6bo$2b3o4b3o$3bob4obo$
2obob4obob2o$bo2bob2obo2bo$b3obo2bob3o4$b2o8b2o$2b2o6b2o$4bo4bo$2b2o6b
2o$bob2o4b2obo$2b2obo2bob2o$4o6b4o$bo2b2o2b2o2bo$5b4o$2b3o4b3o$2b2ob4o
b2o$2bob2o2b2obo$2b3o4b3o2$4b2o2b2o!

Now, if you'll excuse me, I need to slap myself for writing these innuendos. All jokes aside, this ruleset appears to have a lot of really nice partials at various speeds under c/2.

[LaundryPizza03]

Now, if you'll excuse me, I need to slap myself for writing these innuendos. All jokes aside, this ruleset appears to have a lot of really nice partials at various speeds under c/2.

Nice! This means that spaceships are incredibly common, perhaps more common, than was found in OT B3 rules.

I plan on making a set of randomly-generated relativistic rules later, once enough results are taken to compare these rules. It would consist of an equal mixture of B1e and B2a rules. The methodology would be significantly different, since these rules are almost always explosive.

I'm not sure yet which parameters should be quantified, but one feasible option is the minimum width needed to find various speeds of spaceships (except for those rules where ships can be proven impossible). Rocknlol gives such an analysis for B3 rules here. The trouble is that there is no commonly available program to search diagonal speeds in the diagonal direction. Another option is to measure how fast the rules stabilize, in some version of the "smoothiness" sense of the term. But it's good to know roughly what fraction of rules are apgserchable (about 20%). I may want to write detailed descriptions later.

LLS has found that elusive p5 in #22. After reducing the stator, the result is:

Code: Select all

x = 6, y = 7, rule = B2en3cinqy4cknz5jqr6-in7c8/S01e2kn3ejkq4eijknqz5ckq6-a8
5bo2$2o2bo$2b3o$3bo$4bo$4bo!