New c/4 orthogonal puffers

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
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Sokwe
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New c/4 orthogonal puffers

Post by Sokwe » September 29th, 2011, 12:00 am

Here is a new c/4 orthogonal puffer engine with an unmodified period of 76:

Code: Select all

x = 43, y = 64, rule = B3/S23
19bo3bo$17b9o2$20b3o$19b5o$2b3o11b2o7b2o11b3o$15b3o7b3o$2bo2bo8bo13bo
8bo2bo$bo3bo31bo3bo$b2o11bo2bo7bo2bo11b2o$obob2o9b2o9b2o9b2obobo$o16bo
7bo16bo$6bo10b2o5b2o10bo$6bo11b2o3b2o11bo$5b2o11bo5bo11b2o2$17bo2b3o2b
o$4b3o2bo7b3o3b3o7bo2b3o$4b2obobo6b2o7b2o6bobob2o$4b2obobo23bobob2o$5b
o3bo5bo11bo5bo3bo$5b3ob2o5bo3b3o3bo5b2ob3o$4bo11bo9bo11bo2$7bo3bo6b2o
3b2o6bo3bo$7bo2b2o5b2ob3ob2o5b2o2bo$8bo3b2o2b2o2b3o2b2o2b2o3bo$8b2obo
4b2o7b2o4bob2o$9b2ob2o4bo5bo4b2ob2o$11b2o6bo3bo6b2o$11bo4bo2b2ob2o2bo
4bo$11b2o2bob2obobob2obo2b2o$8b2o8bobobobo8b2o$7b2o3bo2bo2bobobobo2bo
2bo3b2o$10bobo4bo2bobo2bo4bobo$9bo10bobo10bo$9bo2bo6b2ob2o6bo2bo$5b2o
2b2o9bobo9b2o2b2o$6b2ob2o6b2o5b2o6b2ob2o$6b4o7b3o3b3o7b4o$8bo7b2o7b2o
7bo$7bo8b3o5b3o8bo$9bo6bo9bo6bo$10bo4b2obo5bob2o4bo$8bo2bo4bo9bo4bo2bo
$8bo6b2o9b2o6bo$10b3o17b3o$17bo7bo$16bo9bo$11b2o3bo9bo3b2o$10bo2bo15bo
2bo$11bobo2b2o7b2o2bobo$10b2o2b3obo5bob3o2b2o$10b2o2bo3bo5bo3bo2b2o$
15bobo7bobo2$11b6o9b6o$14bob2o2b3o2b2obo$14bobo9bobo$11b2obo2b2o5b2o2b
ob2o$10b2o3bo2b7o2bo3b2o$13b2o13b2o2$20b3o!
Amazingly, it can be modified to form a period-24 rake using a spaceship by Nicolay Beluchenko:

Code: Select all

x = 47, y = 90, rule = B3/S23
20bo3bo$18b9o2$21b3o$20b5o$3b3o11b2o7b2o11b3o$16b3o7b3o$3bo2bo8bo13bo
8bo2bo$2bo3bo31bo3bo$2b2o11bo2bo7bo2bo11b2o$bobob2o9b2o9b2o9b2obobo$bo
16bo7bo16bo$7bo10b2o5b2o10bo$7bo11b2o3b2o11bo$6b2o11bo5bo11b2o2$18bo2b
3o2bo$5b3o2bo7b3o3b3o7bo2b3o$5b2obobo6b2o7b2o6bobob2o$5b2obobo23bobob
2o$6bo3bo5bo11bo5bo3bo$6b3ob2o5bo3b3o3bo5b2ob3o$5bo11bo9bo11bo2$8bo3bo
6b2o3b2o6bo3bo$8bo2b2o5b2ob3ob2o5b2o2bo$9bo3b2o2b2o2b3o2b2o2b2o3bo$9b
2obo4b2o7b2o4bob2o$10b2ob2o4bo5bo4b2ob2o$12b2o6bo3bo6b2o$12bo4bo2b2ob
2o2bo4bo$12b2o2bob2obobob2obo2b2o$9b2o8bobobobo8b2o$8b2o3bo2bo2bobobob
o2bo2bo3b2o$11bobo4bo2bobo2bo4bobo$10bo10bobo10bo$10bo2bo6b2ob2o6bo2bo
$6b2o2b2o9bobo9b2o2b2o$7b2ob2o6b2o5b2o6b2ob2o$7b4o7b3o3b3o7b4o$9bo7b2o
7b2o7bo$8bo8b3o5b3o8bo$10bo6bo9bo6bo$11bo4b2obo5bob2o4bo$9bo2bo4bo9bo
4bo2bo$9bo6b2o9b2o6bo$11b3o17b3o$18bo7bo$17bo9bo$12b2o3bo9bo3b2o$11bo
2bo15bo2bo$12bobo2b2o7b2o2bobo$11b2o2b3obo5bob3o2b2o$11b2o2bo3bo5bo3bo
2b2o$16bobo7bobo2$12b6o9b6o$15bob2o2b3o2b2obo$15bobo9bobo$12b2obo2b2o
5b2o2bob2o$11b2o3bo2b7o2bo3b2o$14b2o13b2o2$12bo8b3o$b3o7b3o$11b3o19b3o
8bo$bo2bo8bo20bo8b3o$5bo7b3o5b3o18bob2o$2bo2bob2ob2obobo16b2o8b2o$3b3o
2bobo3b2o5bo3bo5b2o2b2ob2o2b2o$2bo4bo2bo4bo2bo2bo3bo5bo4bobo3b2o$2b6ob
3o3bo2bo3bo2bo3b2o3bobobobo$bo4bo3bo4bo5b2o5b3o4bo5b4o$2bo2b6o3bo2bo4b
2o5b2o5bo3bo3bo$3b2o3b2o4b3o12b2o6bo3bobobo$bobo10bo16b3o3b2obo$bo2bo
38b2o$obobo8b2o28b3o$3b3o26b2o8bo3bo$3b3o6b3o17b2o8bo3bo$3b2o28b2o7bo$
3b2o37bo$3o40bo2bo$18bo24bo$17bo27b2o$2o15b3o$2o43b2o$b2o42bo2$44b2o!
Here is a way in which three p24 glider waves can be used to create a p48 rake:

Code: Select all

x = 61, y = 69, rule = B3/S23
43bo$43bobo$43b2o$bo$2bo$3o$58bo$58bobo$58b2o4$37bo$37bobo$37b2o$7bo$
8bo$6b3o$52bo$52bobo$52b2o4$31bo$31bobo$31b2o$13bo$14bo$12b3o$46bo$46b
obo$46b2o4$25bo$25bobo$25b2o$19bo$20bo$18b3o$40bo$40bobo$40b2o10$34bo$
21b2o11bobo$21b2o11b2o10$28bo$21b2o5bobo$21b2o5b2o!
And here is a very inelegant p72 rake:

Code: Select all

x = 182, y = 160, rule = B3/S23
66b2obob2o$66bo2bo2bo$66bo2bo2bo$66b2o3b2o$67bobobo$50b3o12b9o12b3o$
51bo10b2ob2o2bo2b2ob2o10bo$63b2o9b2o$49b4o33b4o$48bo3bo10bobo7bobo10bo
3bo$48bo4bo9bo2bo5bo2bo9bo4bo$49b2o37b2o$54bo10bobo3bobo10bo$53b3o11b
2ob2o11b3o$53b3o10b3ob3o10b3o$53b2o14bo14b2o$53bo12b2o3b2o12bo$52b6o6b
2obo3bob2o6b6o$55bo2bo5b2o2b3o2b2o5bo2bo71bo3bo$64b2o7b2o78b9o$53b3o7b
2o9b2o7b3o$52bo3b3o9b3o9b3o3bo69b3o$52bob2obo23bob2obo68b5o$66b2o3b2o
65b3o11b2o7b2o11b3o$22bobobo30b3o5b9o5b3o69b3o7b3o$21b7o27b2obobo4bo7b
o4bobob2o54bo2bo8bo13bo8bo2bo$21bo5bo30bobo4bob5obo4bobo56bo3bo31bo3bo
$22bo3bo33bo5bob3obo5bo58b2o11bo2bo7bo2bo11b2o$6bo15bo3bo15bo13b2o2bo
7b3o7bo2b2o53bobob2o9b2o9b2o9b2obobo$6bo11bob2ob3ob2obo11bo14bo6bo3bob
o3bo6bo54bo16bo7bo16bo$5bobo10bobo7bobo10bobo14bobo3bo3bobo3bo3bobo61b
o10b2o5b2o10bo$18b2o9b2o25bo3bo2bo2bobobobo2bo2bo3bo59bo11b2o3b2o11bo$
4bo39bo10bobo6bo3bobo3bo6bobo57b2o11bo5bo11b2o$3bob4o9b2o9b2o9b4obo13b
o5b2obobob2o5bo$3bob2o11b3o7b3o11b2obo9bo3b2o7bobo7b2o3bo69bo2b3o2bo$
4bo3bo11b2o5b2o11bo3bo14bo8bobo8bo60b3o2bo7b3o3b3o7bo2b3o$20bobo3bobo
25b4obo8bobo8bob4o55b2obobo6b2o7b2o6bobob2o$9b2o11bo3bo11b2o14b3o9bobo
bobo9b3o55b2obobo23bobob2o$8b2o11b2o3b2o11b2o12bobo10b2o3b2o10bobo55bo
3bo5bo11bo5bo3bo$24bo41bo5bo68b3ob2o5bo3b3o3bo5b2ob3o$8bo11bob5obo11bo
14bobo8b2o3b2o8bobo56bo11bo9bo11bo$7bobobo10b5o10bobobo24b2o3b2o$6bo3b
ob2o5b2o7b2o5b2obo3bo14bo5b3o7b3o5bo61bo3bo6b2o3b2o6bo3bo$12b2o5bo9bo
5b2o20b2o21b2o61bo2b2o5b2ob3ob2o5b2o2bo$10bobo11bo11bobo17bo2bo19bo2bo
61bo3b2o2b2o2b3o2b2o2b2o3bo$7b3ob3o4b2o4bo4b2o4b3ob3o15b3o3b2o9b2o3b3o
27b3ob3o28b2obo4b2o7b2o4bob2o$8b2o14bo14b2o18b2o2b2o9b2o2b2o28b2o2bo2b
2o28b2ob2o4bo5bo4b2ob2o$64b2o7b2o33b2obobob2o30b2o6bo3bo6b2o$13b2o5b9o
5b2o23b2o17b2o29b2o3b2o31bo4bo2b2ob2o2bo4bo$10b2ob2o4bo9bo4b2ob2o20b2o
17b2o14bo13bo3bo3bo13bo16b2o2bob2obobob2obo2b2o$10b2o3bo6b2ob2o6bo3b2o
19bo2bo2b2o7b2o2bo2bo12b3o11b2o7b2o11b3o12b2o8bobobobo8b2o$11bo2bo4bob
o2bo2bobo4bo2bo23bo4bo5bo4bo15b3o9b2o5bo5b2o9b3o11b2o3bo2bo2bobobobo2b
o2bo3b2o$11b2o3bo3b2o5b2o3bo3b2o20b2ob2obobo5bobob2ob2o14bo9b4o7b4o9bo
16bobo4bo2bobo2bo4bobo$16bo4b3ob3o4bo28b3obo7bob3o14b4o10bo11bo10b4o
12bo10bobo10bo$13bo5b2o2bobo2b2o5bo23b3o15b3o11bobob2o10bo9bo10b2obobo
11bo2bo6b2ob2o6bo2bo$13b3o3b3obobob3o3b3o24bobo13bobo12bo15bo9bo15bo7b
2o2b2o9bobo9b2o2b2o$10b3ob2o3bobobobobobo3b2ob3o20bo2bob2o7b2obo2bo12b
o16bo5bo16bo9b2ob2o6b2o5b2o6b2ob2o$10b2o2bo5b2obobob2o5bo2b2o21bobo3bo
b3obo3bobo17b3o10b3ob3o10b3o13b4o7b3o3b3o7b4o$11b2obo8bobo8bob2o24bobo
b2o3b2obobo67bo7b2o7b2o7bo$12b3o8bobo8b3o21bob3o13b3obo14bo13bo5bo13bo
13bo8b3o5b3o8bo$11b2o9b2ob2o9b2o20bo4bo11bo4bo14bo2bo13bo13bo2bo15bo6b
o9bo6bo$8b3o3bo6bobobobo6bo3b3o58bo8b4ob4o8bo20bo4b2obo5bob2o4bo$20bo
7bo30bo35b2ob3o6bo2bobobo2bo6b3ob2o14bo2bo4bo9bo4bo2bo$9bo3bo8bo3bo8bo
3bo19bo8b3o25bobobo5bo4b3o4bo5bobobo15bo6b2o9b2o6bo$9bo2bo9bo3bo9bo2bo
8b3o7bobo19b3o8bo6bo13bo13bo19b3o17b3o$11bo6bo2bo5bo2bo6bo11bo41bo4b5o
5b3o3bo3b3o5b5o24bo7bo$21bo5bo23b2o8bo17bo2bo7bobo2bo4b2o10bo10b2o4bo
22bo9bo$12b2o4b2o9b2o4b2o14b4o3bob2o6b2o26bobob2o8b5o8b2obobo18b2o3bo
9bo3b2o$12bo23bo12bo4b2ob4o2bo14bobo6b3o9b2o7bo3bo3bo7b2o20bo2bo15bo2b
o$12b2obo2b2o9b2o2bob2o12bo2bo2bobobobo2bo3b2o2bo4bo2b4ob2obobo8b4o5bo
2b3o2bo5b4o21bobo2b2o7b2o2bobo$14bo4bo9bo4bo19bo2bo6bo3b3obo4b2o4bobo
2b4o7bo3bo3b2o7b2o3bo3bo20b2o2b3obo5bob3o2b2o$14bo19bo13bob2ob3o8bo4b
2obobo2b2o7bo4bo8bo2b2o3bobo3bobo3b2o2bo21b2o2bo3bo5bo3bo2b2o$19b2o7b
2o18bo5b4o2bo2bo4bobo6b3o2bob3ob5o7bo2b2o4bo5bo4b2o2bo26bobo7bobo$14b
2o17b2o14bo3bo9bo4b2o7b3o12bo6b2o23b2o$13bo2bo2b2o7b2o2bo2bo17bo6b2o7b
o9bo3bo3b5o7b4o7b2ob2o7b4o21b6o9b6o$14bobo2b2o7b2o2bobo14b2o26bob2o2bo
3b4o9bobo3b3o2bobo2b3o3bobo25bob2o2b3o2b2obo$16b2obobo5bobob2o14b2obo
9b2o17bo10bo8b2obo3b3o2bobo2b3o3bob2o24bobo9bobo$13b2o2bo3bo5bo3bo2b2o
11bob2o9bo18b2o8bo2b2o5bo7bobobobobobo7bo21b2obo2b2o5b2o2bob2o$49b2o
40b2o6bob3o4bo2bobo2bo4b3obo20b2o3bo2b7o2bo3b2o$15b2o15b2o14b3o8b2o20b
o9bo9b3o7bobo7b3o25b2o13b2o$15b3ob2o3bo3b2ob3o14b3o29bo10bo5bo4bo7b2ob
2o7bo4bo$15bo4bo3bo3bo4bo14bo31bo10bo5bo2b2o9bobo9b2o2bo19bo$17bobobo
2bo2bobobo15b2obo38bo2bo3bo3bo8bobobobo8bo3bo7b3o7b3o$13b5ob3ob3ob3ob
5o12bo41b3o5b2o8b2o5b2o8b2o19b3o7b3o9b3o8bo$13b2o3bob9obo3b2o11b2o15bo
27bo4bobo8bo7bo8bobo8bo2bo8bo20bo8b3o$17bo4b5o4bo32bobo41bo7bo23bo7b3o
26bob2o$49bo14b2o26b2o5bo7bo2bo3bo2bo7bo11bo2bob2ob2obobo16b2o8b2o$33b
3o8bo3bo51b2o5b3o5b3o5b2o13b3o2bobo3b2o15b2o2b2ob2o2b2o$12bo11bo19bo3b
o42b3o5b3o5bo9bo5b3o11bo4bo2bo4bo2bo12bo4bobo3b2o$b3o7b3o10bo7bo2bo7bo
bo53bo2bo19bo2bo11b6ob3o3bo2bo10b2o3bobobobo$11b3o10bo75bo5b2o9b2o5bo
11bo4bo3bo4bo12b3o4bo5b4o$bo2bo8bo17bobo6b3o59b2o17b2o14bo2b6o3bo2bo
11b2o5bo3bo3bo$5bo7b3o14bo2b4ob2obobo62b3o7b3o19b2o3b2o4b3o12b2o6bo3bo
bobo$2bo2bob2ob2obobo14b2o4bobo2b4o57b2o17b2o13bobo10bo7b2o7b3o3b2obo$
3b3o2bobo3b2o14b2o7bo4bo56bo2bo15bo2bo12bo2bo15bo22b2o$2bo4bo2bo4bo2bo
11b3o2bob3ob5o56bobo3bo7bo3bobo12bobobo8b2o6bobo19b3o$2b6ob3o3bo2bo11b
3o12bo12bo42b2obob2obo5bob2obob2o14b3o16bo9b2o8bo3bo$bo4bo3bo4bo16bo3b
o3b5o13bobo46bobo5bobo20b3o6b3o17b2o8bo3bo$2bo2b6o3bo2bo12bob2o2bo3b4o
14b2o41bo4b3o7b3o4bo14b2o28b2o7bo$3b2o3b2o4b3o15bo10bo58bo3bo11bo3bo
15b2o37bo$bobo10bo8bobo6b2o8bo2b2o58b2o11b2o15b3o40bo2bo$bo2bo19b2o18b
2o56b2obo2bo3bo3bo2bob2o55bo$obobo8b2o9bo9bo9bo60bobobob3obobobo60b2o$
3b3o27bo10bo57b2obo2b9o2bob2o12b2o$3b3o6b3o18bo10bo57bob2o13b2obo12b2o
43b2o$3b2o37bo2bo56bob2o13b2obo13b2o13bo28bo$3b2o38b3o66bo37bo$3o42bo
104b3o26b2o$52bo47bo20b3o8bo$45b2o5bobo45bo21bo8b3o$2o50b2o35b3o7bobo
28bob2o$2o42b3o43bo29b2o8b2o$b2o26bobo60b2o8bo8b3o5b2o2b2ob2o2b2o$30b
2o60b4o3bob2o8bobo5bo4bobo3b2o$30bo59bo4b2ob4o2bo6b3o3b2o3bobobobo$90b
o2bo2bobobobo2bo10b3o4bo5b4o$95bo2bo6bo11b2o5bo3bo3bo$89bob2ob3o8bo11b
2o6bo3bobobo11bo$89bo5b4o2bo2bo14b3o3b2obo15bo$90bo3bo9bo26b2o11b3o$
46bo47bo6b2o28b3o$46bobo41b2o28b2o8bo3bo$46b2o40b2obo9b2o17b2o8bo3bo$
88bob2o9bo19b2o7bo$35bobo52b2o38bo$36b2o51b3o8b2o12bo16bo2bo$36bo52b3o
23b2o14bo$89bo24b2o17b2o$88b2obo$89bo43b2o4bo$88b2o43bo4bo$138b3o$40bo
49bo41b2o$40bobo46bo$40b2o47bo3$120bo$121b2o$120b2o$44bo$43bobo87bo$
43b2o87bo$132b3o2$12b3o15b3o$12bo17bo$13bo17bo2$126bo$127b2o$34b3o89b
2o$34bo2bo6b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o3bo$
34bo2bo5b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4bo$45b
o5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo2bo$37b2o87b3o$38bo2$30b2o$30b
2o!
Also, a very inelegant p120 rake:

Code: Select all

x = 99, y = 341, rule = B3/S23
63b3ob3o$62b2o2bo2b2o$62b2obobob2o$63b2o3b2o$48bo13bo3bo3bo13bo$47b3o
11b2o7b2o11b3o$47b3o9b2o5bo5b2o9b3o$49bo9b4o7b4o9bo$46b4o10bo11bo10b4o
$45bobob2o10bo9bo10b2obobo$45bo15bo9bo15bo$46bo16bo5bo16bo$50b3o10b3ob
3o10b3o2$49bo13bo5bo13bo$49bo2bo13bo13bo2bo$53bo8b4ob4o8bo$49b2ob3o6bo
2bobobo2bo6b3ob2o$50bobobo5bo4b3o4bo5bobobo$52bo13bo13bo$50b5o5b3o3bo
3b3o5b5o$49bo4b2o10bo10b2o4bo$50bobob2o8b5o8b2obobo$53b2o7bo3bo3bo7b2o
$53b4o5bo2b3o2bo5b4o$53bo3bo3b2o7b2o3bo3bo$54bo2b2o3bobo3bobo3b2o2bo$
54bo2b2o4bo5bo4b2o2bo$53b2o23b2o$53b4o7b2ob2o7b4o$54bobo3b3o2bobo2b3o
3bobo$53b2obo3b3o2bobo2b3o3bob2o$53bo7bobobobobobo7bo$53bob3o4bo2bobo
2bo4b3obo$55b3o7bobo7b3o$51bo4bo7b2ob2o7bo4bo$51bo2b2o9bobo9b2o2bo$50b
o3bo8bobobobo8bo3bo$52b2o8b2o5b2o8b2o$51bobo8bo7bo8bobo$62bo7bo$53bo7b
o2bo3bo2bo7bo$54b2o5b3o5b3o5b2o$53b3o5bo9bo5b3o$53bo2bo19bo2bo$54bo5b
2o9b2o5bo$56b2o17b2o$60b3o7b3o$56b2o17b2o$55bo2bo15bo2bo$29b3o24bobo3b
o7bo3bobo$55b2obob2obo5bob2obob2o$28bo2bo29bobo5bobo$28bo3bo22bo4b3o7b
3o4bo$31b2o23bo3bo11bo3bo$28b2obobo25b2o11b2o$27bobo2bo23b2obo2bo3bo3b
o2bob2o$26b3o30bobobob3obobobo$26bo2b2o25b2obo2b9o2bob2o$25b2o2bobobo
22bob2o13b2obo$26bo4bobo22bob2o13b2obo$32b2o$30bo34b3o$30bo15bo8b3o20b
o$22b3o4b2ob3o10b3o8bo21bo$19bo3bo8b3o10b2obo28bobo7b3o$19b3o8b2obo13b
2o8b2o5bo3bo19bo$17bo2bo10b2o14b2o2b2ob2o2b2o5b3o8bo8b2o$14b5o2bo9bo
15b2o3bobo4bo16b2obo3b4o$18b3o7b2o2bo17bobobobo3b2o12bo2b4ob2o4bo$14bo
b2ob2o8b2o15b4o5bo4b3o10bo2bobobobo2bo2bo$15b2o13bo15bo3bo3bo5b2o11bo
6bo2bo$16bo13bo14bobobo3bo6b2o11bo8b3ob2obo$17b2o11bo19bob2o3b3o14bo2b
o2b4o5bo$16b3o10bo2bo13b2o26bo9bo3bo$16bo2bo9b3o13b3o28b2o6bo$29bo14bo
3bo8b2o28b2o$19b2o16b3o4bo3bo8b2o17b2o9bob2o$28b2o8bo9bo7b2o7bo11bo9b
2obo$18bo29bo14b2o22b2o$18bobo6b3o7b4o3bo2bo16b2o11b2o8b3o$17bo18bo2bo
bo5bo39b3o$17bo17bo5bo2b2o43bo$19b2o6b2o6b2o3bo46bob2o$18b3o5bo2bo14b
2o43bo$21b2o2b6o2bob3obo5bo43b2o$19bo3bo2bo2bo3bob3ob2o$4bo10bo2bo3bo
4b2o4bobo5b2o2b2o41bo$4bo10bo3bo21b2o46bo$3bobo8bobo10b2o9b2obo47bo$
27b2o8b2ob2o17bo$6bo6bo23b3obo15b2o$2b4obo4bob4o19bobobo16b2o$4b2obo4b
ob2o$2bo3bo6bo3bo9b2o9b2o$bo16bo8b2o8b3o$o18bo16bo3bo$bobo12bobo17bo3b
o$4b2o8b2o24bo$3b4o6b4o10b2o11bo$6bo6bo13b2o7bo2bo$2bo14bo21bo$2b2o3b
2o2b2o3b2o18b2o15bo$2b2o3b2o2b2o3b2o33b2o$27b2o7b2o14b2o$7bo4bo14b2o7b
o$6b3o2b3o$4b2ob2o2b2ob2o19b2o2$7bob2obo14b2o$3b14o10b2o$7bob2obo2$2b
4o8b4o$2bob2o8b2obo9b2o18bo$2b4o8b4o9b2o16b2o$3b2o10b2o29b2o$5b2o6b2o$
bo4b2o4b2o4bo$bo16bo8b2o$obobo10bobobo7b2o$ob2obo8bob2obo$6bo6bo$5bo8b
o$8bo2bo15b2o$5bo2b4o2bo12b2o$6bo2b2o2bo27bo$7b2o2b2o26b2o$8b4o28b2o$
7b2o2b2o14b2o$6bo6bo13b2o$6bo2b2o2bo$5b2o6b2o$5b3ob2ob3o$7b2o2b2o14b2o
$27b2o$4b2ob2o2b2ob2o$5bobob2obobo$2b4o8b4o17bo$bo5bo4bo5bo8b2o4b2o$4b
2obo4bob2o11b2o5b2o$5b2o6b2o$b3ob10ob3o$7b2o2b2o$2b3o3bo2bo3b3o9b2o$2b
6o4b6o3bo5b2o$3b3o8b3o3b3o$7b2o2b2o7b3o$20bo8b3o$16b3obo8b3o$16bo4bo6b
o3bo$16b2o9bobo2bo$17bo9bo4bo$18b2o9bobo6bo$18b2o6bo2bo3bo4b2o$17b2o8b
o4bo2b2obo$18b3o12bo2b2o$17bob2o15b2o$16bo4bo15b2o$17bobo13b2o$17bo2bo
bo9b3o$18bob4o8b2o2b3o$17bob2ob2o8b2o2b2o$20bo2bo9bo2b2o$20b2o12b3o$
21bo13bo$21bo3bo$21bo$21bo$20bo2bo$20b3o10bo$20bo11bobo$32bo2bo$19b2o
13bo2bo$29b3ob3ob2o6b3o23b3ob3o$18b3o8b3o3b2ob2o3bo3bo22b2o2bo2b2o$43b
ob2ob2o20b2obobob2o$43bo5bo21b2o3b2o$32b2o13bobo6bo13bo3bo3bo13bo$32b
2o4bobo5b3o6b3o11b2o7b2o11b3o$39b2o14b3o9b2o5bo5b2o9b3o$42bo14bo9b4o7b
4o9bo$41b3o10b4o10bo11bo10b4o$53bobob2o10bo9bo10b2obobo$53bo15bo9bo15b
o$54bo16bo5bo16bo$58b3o10b3ob3o10b3o2$57bo13bo5bo13bo$57bo2bo13bo13bo
2bo$61bo8b4ob4o8bo$57b2ob3o6bo2bobobo2bo6b3ob2o$58bobobo5bo4b3o4bo5bob
obo$60bo13bo13bo$37b2o19b5o5b3o3bo3b3o5b5o$35b3obo17bo4b2o10bo10b2o4bo
$34bo4bo18bobob2o8b5o8b2obobo$35b2ob2o21b2o7bo3bo3bo7b2o$35b2o2b2ob3o
16b4o5bo2b3o2bo5b4o$38bobo2b2o16bo3bo3b2o7b2o3bo3bo$39bo5bo16bo2b2o3bo
bo3bobo3b2o2bo$38b2ob2obo17bo2b2o4bo5bo4b2o2bo$43bo17b2o23b2o$40bobo
18b4o7b2ob2o7b4o$41bo20bobo3b3o2bobo2b3o3bobo$30b2o29b2obo3b3o2bobo2b
3o3bob2o$30b2o29bo7bobobobobobo7bo$61bob3o4bo2bobo2bo4b3obo$63b3o7bobo
7b3o$59bo4bo7b2ob2o7bo4bo$59bo2b2o9bobo9b2o2bo$58bo3bo8bobobobo8bo3bo$
60b2o8b2o5b2o8b2o$59bobo8bo7bo8bobo$70bo7bo$61bo7bo2bo3bo2bo7bo$62b2o
5b3o5b3o5b2o$61b3o5bo9bo5b3o$61bo2bo19bo2bo$62bo5b2o9b2o5bo$42b2o20b2o
17b2o$34bo7b2o24b3o7b3o$33bo30b2o17b2o$29bo3bo11bo17bo2bo15bo2bo$29bo
3bo10bobo17bobo3bo7bo3bobo$29bo2bo11bobo16b2obob2obo5bob2obob2o$29bo5b
o9bo23bobo5bobo$27b2obo2b3o27bo4b3o7b3o4bo$27b2obo3bo29bo3bo11bo3bo$
30bo2bo33b2o11b2o$30bobo31b2obo2bo3bo3bo2bob2o$30b3o34bobobob3obobobo$
64b2obo2b9o2bob2o$64bob2o13b2obo$64bob2o13b2obo$30b2o$30b2o42bo$54bo8b
3o8bo11bo$4b3o46b3o8bo9bo11bo$4bo48b2obo28bobo7b3o$5bo49b2o8b2o29bo$
55b2o2b2ob2o2b2o16bo8b2o$55b2o3bobo4bo16b2obo3b4o$58bobobobo3b2o3bob2o
5bo2b4ob2o4bo$54b4o5bo4b3o6bo3bo2bobobobo2bo2bo$54bo3bo3bo5b2o8bo2bo6b
o2bo$53bobobo3bo6b2o3bob2o4bo8b3ob2obo$58bob2o3b3o5bobo6bo2bo2b4o5bo$
54b2o17b2o7bo9bo3bo$53b3o28b2o6bo$42b2o8bo3bo8b2o28b2o$42b2o8bo3bo8b2o
17b2o9bob2o$56bo7b2o19bo9b2obo$45bo10bo38b2o$29b2o13bobo5bo2bo29b2o8b
3o$28b2ob2o11bobo8bo39b3o$27b3o2bo12bo6b2o43bo$26b2obo2bo7b3o52bob2o$
25b2o2b3o7bo2b2o8b2o16bo26bo$26bob2o9bo2bobo8bo14b2o27b2o$27bo12b2ob3o
23b2o$43b3o7b2o41bo$97bo$97bo$37b2o$36b5o$31bo3bo$30bo5b3obo$30bo6b3o
2$49bo6bo7bo$35bobo2bo8bo5b3o4b2o$35bo12bobo4b3o5b2o$40bo$36b2o14bob2o
$49b2obo$48bobobo3bo$47b3o2bo3bo$49bob2o$51b2ob2o$49bo$46bob2o$46bo3b
2o6bo$50bo5b2o$47bo3bo5b2o$47bo2bo$50bo$47b2o2$47b2o$48bo2$48b2o2$52bo
$35b2o13b2o$34bo2bo13b2o$35bobo$36bo4$35b3o4$46bo$44b2o$45b2o$25b3o$
26bo2$25b4o$24bo2bobo$23bo5bo$23b2o3bo2$21bob3obo$21bob3ob2o11bo$21bob
o5b2o7b2o$29b2o8b2o$26b2obo$25b2ob2o$25b3obo$25bobobo2$26b2o$25b3o$24b
o3bo$24bo3bo$28bo5bo$28bo3b2o$24bo3bo4b2o$24bo2bo$27bo$24b2o2$24b2o$
25bo2$25b2o!
I have not yet been able to make a period-76 rake, but it seems like it might be possible (Edit: I found one. See below). This looks like it might be a potential starting point:

Code: Select all

x = 61, y = 114, rule = B3/S23
19bo3bo$17b9o2$20b3o$19b5o$2b3o11b2o7b2o11b3o$15b3o7b3o$2bo2bo8bo13bo
8bo2bo$bo3bo31bo3bo$b2o11bo2bo7bo2bo11b2o$obob2o9b2o9b2o9b2obobo$o16bo
7bo16bo$6bo10b2o5b2o10bo$6bo11b2o3b2o11bo$5b2o11bo5bo11b2o2$17bo2b3o2b
o$4b3o2bo7b3o3b3o7bo2b3o$4b2obobo6b2o7b2o6bobob2o$4b2obobo23bobob2o$5b
o3bo5bo11bo5bo3bo$5b3ob2o5bo3b3o3bo5b2ob3o$4bo11bo9bo11bo2$7bo3bo6b2o
3b2o6bo3bo$7bo2b2o5b2ob3ob2o5b2o2bo$8bo3b2o2b2o2b3o2b2o2b2o3bo$8b2obo
4b2o7b2o4bob2o$9b2ob2o4bo5bo4b2ob2o$11b2o6bo3bo6b2o$11bo4bo2b2ob2o2bo
4bo$11b2o2bob2obobob2obo2b2o$8b2o8bobobobo8b2o$7b2o3bo2bo2bobobobo2bo
2bo3b2o$10bobo4bo2bobo2bo4bobo$9bo10bobo10bo$9bo2bo6b2ob2o6bo2bo$5b2o
2b2o9bobo9b2o2b2o$6b2ob2o6b2o5b2o6b2ob2o$6b4o7b3o3b3o7b4o$8bo7b2o7b2o
7bo$7bo8b3o5b3o8bo$9bo6bo9bo6bo17bobobo$10bo4b2obo5bob2o4bo17b7o$8bo2b
o4bo9bo4bo2bo15bo5bo$8bo6b2o9b2o6bo16bo3bo$10b3o17b3o18bo3bo$17bo7bo
23b2o5b2o$16bo9bo24bo3bo$11b2o3bo9bo3b2o16bobobobobobo$10bo2bo15bo2bo
17bobobobo$11bobo2b2o7b2o2bobo15b2obobobobob2o$10b2o2b3obo5bob3o2b2o
14bo3b2ob2o3bo$10b2o2bo3bo5bo3bo2b2o$15bobo7bobo18b2o3bo3bo3b2o$51bo3b
o$11b6o9b6o20b3o$14bob2o2b3o2b2obo20b3o3b3o$14bobo9bobo18b2ob2o3b2ob2o
$11b2obo2b2o5b2o2bob2o20bobo$10b2o3bo2b7o2bo3b2o17bobobobo$13b2o13b2o
17b2ob2o3b2ob2o$49b2o5b2o$20b3o26b2o5b2o$32b3o8bo4bo2bo3bo2bo$33bo8b3o
3bo2bo3bo2bo$10bo12bo17bob2o2bob2obobob2obo$9b3o11bo7b2o8b2o$9b3o18b2o
2b2ob2o2b2o$9bo20bo4bobo3b2o6b2o$9b4o9b2o4b2o3bobobobo11bo$8b2obobo7b
3o3b3o4bo5b4o5bobo$7bo5bo5b2obo5b2o5bo3bo3bo$7b2o9bobo7b2o6bo3bobobo5b
3o$6bo2bo8bob2o2bo5b3o3b2obo10b2o$7bobob2o5b2o3bo18b2o5bo$4b2o3bob3o4b
2ob2o19b3o3bo$7bo6bo5b2o9b2o8bo3b5o$31b2o8bo5bo$9b3o20b2o7b2o4bo$13b2o
26bobob2o$8bo4b2o$9bobo6bo$11b2o5bo$9bobo6bo$9bo2bo$8bobobo7b3o$11b3o$
11b3o$11b3o21b3o8bo$11b2o33bo$11b2o21bo2bo7bobo$8b3o$33bobo6b3o$25bo6b
o2b4ob2obobo$8b2o9bobo2bob2o4b2o4bobo2b4o$8b2o8bobobobo7b2o7bo4bo$9b2o
9b3obo7b3o2bob3ob5o$19b4obob2o4b3o12bo$18b4o12bo3bo3b5o$16bo2b8o5bob2o
2bo3b4o$16bo4bobo2bo7bo10bo$20bo3bo9b2o8bo2b2o$18b3o2bo22b2o$36bo9bo$
35bo10bo$35bo10bo$44bo2bo$45b3o$47bo2$47b2o2$46b3o!
I just noticed that the puffer can be supported by some smaller spaceships, but I'm too lazy to update the other patterns:

Code: Select all

x = 65, y = 40, rule = B3/S23
30bo3bo$30bo3bo$29bobobobo2$28bo7bo$25bob2o2bobo2b2obo$25bobo2b2ob2o2b
obo$24bob2obobobobob2obo2$30bo3bo2$26b2ob2o3b2ob2o$26b2o9b2o$29b2o3b2o
$30bo3bo$29bo5bo$3b3o13bo8bobo3bobo8bo13b3o$2bob2o12b4o5b4o3b4o5b4o12b
2obo$bo3b4o9bo2b2o3bo2bo5bo2bo3b2o2bo9b4o3bo$2o3bo4b4o3b4o2bo2bob2o5b
2obo2bo2b4o3b4o4bo3b2o$o4bo5b4ob3o4bo4bo7bo4bo4b3ob4o5bo4bo$7bo4bobo3b
o9b2o5b2o9bo3bobo4bo$5b2o7b2obo3b3o17b3o3bob2o7b2o$10b2o4bo10bo9bo10bo
4b2o$28bo7bo$22b2o4bo7bo4b2o$21bo2bo15bo2bo$22bobo2b2o7b2o2bobo$21b2o
2b3obo5bob3o2b2o$21b2o2bo3bo5bo3bo2b2o$26bobo7bobo2$22b6o9b6o$25bob2o
2b3o2b2obo$25bobo9bobo$22b2obo2b2o5b2o2bob2o$21b2o3bo2b7o2bo3b2o$24b2o
13b2o2$31b3o!
Edit: here's a messy but working p76 rake that has two output waves, a forward wave and a backward wave (obviously, either of the waves could be deleted by another spaceship):

Code: Select all

x = 87, y = 250, rule = B3/S23
33bo3bo$31b9o2$34b3o$33b5o$16b3o11b2o7b2o11b3o$29b3o7b3o$16bo2bo8bo13b
o8bo2bo$15bo3bo31bo3bo$15b2o11bo2bo7bo2bo11b2o$14bobob2o9b2o9b2o9b2obo
bo$14bo16bo7bo16bo$20bo10b2o5b2o10bo$20bo11b2o3b2o11bo$19b2o11bo5bo11b
2o2$31bo2b3o2bo$18b3o2bo7b3o3b3o7bo2b3o$18b2obobo6b2o7b2o6bobob2o$18b
2obobo23bobob2o$19bo3bo5bo11bo5bo3bo$19b3ob2o5bo3b3o3bo5b2ob3o$18bo11b
o9bo11bo2$21bo3bo6b2o3b2o6bo3bo$21bo2b2o5b2ob3ob2o5b2o2bo$22bo3b2o2b2o
2b3o2b2o2b2o3bo$22b2obo4b2o7b2o4bob2o$23b2ob2o4bo5bo4b2ob2o$25b2o6bo3b
o6b2o$25bo4bo2b2ob2o2bo4bo$25b2o2bob2obobob2obo2b2o$22b2o8bobobobo8b2o
$21b2o3bo2bo2bobobobo2bo2bo3b2o$24bobo4bo2bobo2bo4bobo$23bo10bobo10bo$
23bo2bo6b2ob2o6bo2bo$19b2o2b2o9bobo9b2o2b2o$20b2ob2o6b2o5b2o6b2ob2o$
20b4o7b3o3b3o7b4o$22bo7b2o7b2o7bo$21bo8b3o5b3o8bo$23bo6bo9bo6bo17bobob
o$24bo4b2obo5bob2o4bo17b7o$22bo2bo4bo9bo4bo2bo15bo5bo$22bo6b2o9b2o6bo
16bo3bo$24b3o17b3o18bo3bo$31bo7bo23b2o5b2o$30bo9bo24bo3bo$25b2o3bo9bo
3b2o16bobobobobobo$24bo2bo15bo2bo17bobobobo$25bobo2b2o7b2o2bobo15b2obo
bobobob2o$24b2o2b3obo5bob3o2b2o14bo3b2ob2o3bo$24b2o2bo3bo5bo3bo2b2o$
29bobo7bobo18b2o3bo3bo3b2o$65bo3bo$25b6o9b6o20b3o$28bob2o2b3o2b2obo20b
3o3b3o$28bobo9bobo18b2ob2o3b2ob2o$25b2obo2b2o5b2o2bob2o20bobo$24b2o3bo
2b7o2bo3b2o17bobobobo$27b2o13b2o17b2ob2o3b2ob2o$63b2o5b2o$34b3o26b2o5b
2o$46b3o8bo4bo2bo3bo2bo$47bo8b3o3bo2bo3bo2bo$24bo12bo17bob2o2bob2obobo
b2obo$23b3o11bo7b2o8b2o$23b3o18b2o2b2ob2o2b2o$23bo20bo4bobo3b2o6b2o$
23b4o9b2o4b2o3bobobobo11bo$22b2obobo7b3o3b3o4bo5b4o5bobo$21bo5bo5b2obo
5b2o5bo3bo3bo$21b2o9bobo7b2o6bo3bobobo5b3o$20bo2bo8bob2o2bo5b3o3b2obo
10b2o$21bobob2o5b2o3bo18b2o5bo$18b2o3bob3o4b2ob2o19b3o3bo$21bo6bo5b2o
9b2o8bo3b5o$45b2o8bo5bo$23b3o20b2o7b2o4bo$27b2o26bobob2o$22bo4b2o$23bo
bo6bo$25b2o5bo$23bobo6bo$23bo2bo22bo9bo$22bobobo7b3o12bo9bo$25b3o20bob
o7bobo$25b3o$25b3o20bobo7bobo$25b2o22b3o5b3o$25b2o21bo3b2ob2o3bo$22b3o
21b3obo2bobo2bob3o$46bobo2bobobobo2bobo$39bo5bo2bob2obobob2obo2bo$22b
2o9bobo2bob2o3b2obobo2bobo2bobob2o$22b2o8bobobobo6b4obob2ob2obob4o$23b
2o9b3obo7b2o2b4ob4o2b2o$33b4obob2o7b2o7b2o$32b4o18bo$30bo2b8o9bo3bo3bo
$30bo4bobo2bo9bo3bo3bo$34bo3bo$32b3o2bo4$47bo18bo18bo$47b2o17b2o17b2o$
46bobo16bobo16bobo3$50bo$49b3o7b3o$49b3o$49bo8bo2bo$47b3o7bo$33b2o12bo
bob2ob2obo2bo$33b2o12b2o3bobo2b3o$44bo2bo4bo2bo4bo$44bo2bo3b3ob6o$47bo
4bo3bo4bo$45bo2bo3b6o2bo$46b3o4b2o3b2o$48bo10bobo$58bo2bo$48b2o8bobobo
$38bo18b3o$38bo9b3o6b3o$38bo19b2o$58b2o$60b3o2$46b3o8bo$20bo36bo3b2o$
19bo25bo2bo7bobo2b2o$19b3o11b2o27b2o$33b2o9bobo6b3o$43bo2b4ob2obobo$
43b2o4bobo2b4o$43b2o7bo4bo$43b3o2bob3ob5o$43b3o12bo$45bo3bo3b5o$43bob
2o2bo3b4o$45bo10bo$45b2o8bo2b2o$57b2o$47bo9bo$46bo10bo$46bo10bo$55bo2b
o$56b3o$58bo2$33b2o23b2o$33b2o$58b3o4$45b3o8b3o$46bo10bo2$45b4o6b4o$
45bo3bo4bo3bo$44bo4bo4bo4bo$47b2o6b2o$43bo16bo$42b3o14b3o$46bo10bo$44b
o3bo6bo3bo$bo43bo2bo6bo2bo$o44b2obo6bob2o$3o30b2o9b2o3bo4bo3b2o$33b2o
8bo5b2o2b2o5bo$44b2o3b2o2b2o3b2o$49b2o2b2o$48b3o2b3o$47bo8bo$47bo2bo2b
o2bo$48b2ob2ob2o$46b2obo4bob2o$46b2o8b2o$46b2obo4bob2o$45b2o10b2o$44bo
2bo8bo2bo$43bo4bo6bo4bo$44bo14bo$44bo3bo6bo3bo$46b4o4b4o$47b3o4b3o$42b
3o14b3o$33b2o7bobobo10bobobo$33b2o9b4o8b4o$46b3o6b3o2$50bo2bo$49b2o2b
2o$48bo6bo$49bo4bo2$49b2o2b2o$48bob4obo$48b2o4b2o$50bo2bo$47bo3b2o3bo$
49b6o$48bo6bo$46b2ob6ob2o$49bob2obo$44b4o2bo2bo2b4o$33b2o9bo14bo$33b2o
11b2obo4bob2o$44b2o5b2o5b2o$44bob2o3b2o3b2obo$43bo3bo8bo3bo$44bo5bo2bo
5bo$39b3o6b2o4b2o$44bo5bo2bo5bo$39bo2bo3bo10bo$41bo2bo$40b3ob2o$43bo2b
o$44b2o$44b2o$42bobo2$41bo2bo$41bo$40bo3bo$33b2o7bob2o$33b2o5b2ob3o$
38b2obo2bo$43b2o$37bo5bo$38bo$39b3o$39b2o$39b3o$39b3o$39b3o$41bo$39bob
2o$41bo$41b2o2$43bo$42bo$42bo!
Edit 2: Unfortunately, the known rake period multiplication reaction does not work at period 24, but it does work for all higher multiples of 24. Here's the period 72 -> 144 reaction:

Code: Select all

x = 493, y = 199, rule = B3/S23
303bo$194bo106bobo$192b2o108b2o$193b2o$492bo$bo488b2o$2bo488b2o$3o29$
321bo$176bo142bobo$174b2o144b2o$175b2o$474bo$19bo452b2o$20bo452b2o$18b
3o29$339bo$158bo178bobo$156b2o180b2o$157b2o$456bo$37bo416b2o$38bo416b
2o$36b3o29$357bo$140bo214bobo$138b2o216b2o$139b2o$438bo$55bo380b2o$56b
o380b2o$54b3o29$375bo$122bo250bobo$120b2o252b2o$121b2o$420bo$73bo344b
2o$74bo344b2o$72b3o29$393bo$104bo286bobo$102b2o288b2o$103b2o$402bo$91b
o308b2o$92bo308b2o$90b3o4$96b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b
2o$96bobo33bobo33bobo33bobo33bobo33bobo33bobo33bobo33bobo$96bo35bo35bo
35bo35bo35bo35bo35bo35bo3$107b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b
2o$108b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o$107bo35bo35bo35bo35b
o35bo35bo35bo35bo!
And here's the period 76 -> 152 reaction:

Code: Select all

x = 410, y = 194, rule = B3/S23
243bo$169bo74b2o$168bo74b2o$168b3o$408bo$407bo$obo404b3o$b2o$bo30$262b
o$150bo112b2o$149bo112b2o$149b3o$389bo$388bo$19bobo366b3o$20b2o$20bo
30$281bo$131bo150b2o$130bo150b2o$130b3o$370bo$369bo$38bobo328b3o$39b2o
$39bo30$300bo$112bo188b2o$111bo188b2o$111b3o$351bo$350bo$57bobo290b3o$
58b2o$58bo30$319bo$93bo226b2o$92bo226b2o$92b3o$332bo$331bo$76bobo252b
3o$77b2o$77bo7$105b2o36b2o36b2o36b2o36b2o36b2o$104b2o36b2o36b2o36b2o
36b2o36b2o$106bo37bo37bo37bo37bo37bo3$113b3o35b3o35b3o35b3o35b3o35b3o$
115bo37bo37bo37bo37bo37bo$114bo37bo37bo37bo37bo37bo17$74bo$73bo$73b3o!
-Matthias Merzenich

Sokwe
Moderator
Posts: 2645
Joined: July 9th, 2009, 2:44 pm

Re: New c/4 orthogonal puffers

Post by Sokwe » October 1st, 2011, 9:41 pm

Since I've been working on c/4 technology, I decided to look at some of the previously known puffers to see if I could find any more rake periods. After a bit of searching, here is a period-100 rake based on Jason Summers' period-100 puffer:

Code: Select all

x = 88, y = 251, rule = B3/S23
40bo3bo$38b9o2$41bobo$38b2obobob2o2$39bobobobo$38bo2bobo2bo$39bobobobo
$36b2obobobobob2o$35b2o2bobobobo2b2o$38b2obobob2o$35bo3bobobobo3bo$35b
o5bobo5bo$41bobo$37bo9bo$37b2ob5ob2o$36bobobo3bobobo$36bob3o3b3obo$35b
ob2o7b2obo$36b4o5b4o$37b2o2bobo2b2o$37bo2b2ob2o2bo$37bo2bo3bo2bo$37bob
7obo$39bo5bo$39b2o3b2o$41b3o$41b3o$35bo13bo$35bo13bo$34bobob3o3b3obobo
$39bob3obo$38bo2bobo2bo$40b2ob2o$40b5o2$37b2o7b2o$36bobo2bobo2bobo$36b
o2b3ob3o2bo$36b5o3b5o$36bobo7bobo$34bob3o7b3obo$33bo4bo3bo3bo4bo$34bob
3o3bo3b3obo$34bo3bo2bobo2bo3bo$35bo3bo5bo3bo$35bo4b5o4bo$40bo3bo$36bo
3b2ob2o3bo$36bo2bo5bo2bo$36bo3b5o3bo$37bo9bo$35b2o4b3o4b2o$35b15o$37bo
3bobo3bo$36b2o2bo3bo2b2o$34bo2bob2o3b2obo2bo$33bobo2bo7bo2bobo$33bobob
2o7b2obobo$34b3o11b3o$35b2o11b2o$36bo11bo$36b2o3b3o3b2o$37bo4bo4bo$34b
2o13b2o$34b2ob3o5b3ob2o$35bo2bo2b3o2bo2bo$36bo11bo$35bo3b2o3b2o3bo$36b
o5bo5bo$38bobo3bobo$b3o7b2o12bo14bo3bo$9bob2o11b3o10b2o2bobo2b2o$bo2bo
3b2o2bob5o5b3o9bobo2bobo2bobo$3bo2bo6b2o4bo4bo12bo9bo$2b6o3b2o3bo4b2ob
o12b2o3bo3b2o$11b3o2bo4bo3bo8b2o5bobo5b2o$6b2o5bo3bobobo12b6o5b6o$26bo
7bob2o9b2obo$26b2o$25bob2o6b2o3b2ob2o3b2o$26b3o7bob2obobob2obo$4bo21b
3o6bo2bobo3bobo2bo$3bobo12b2o8bo6b2ob3o3b3ob2o$2bo4bo10bo2b2o3bob2o8bo
bo3bobo$3o4bo3b2o9bo5bo5bob3o3bo3b3obo$2o2b2obo2bo3bobo3b2obo4b2o3b2o
2b2ob5ob2o2b2o16b3o$2o4bo3bo3b3o19bobob5obobo$5bo5b2o5bo4bo3bo8bob2o5b
2obo19bo2bo$6bo4bob5o4bo5bo6bo2bo7bo2bo17bo3bo$15b2o5bo5bo38b2o$66bobo
b2o$22bobobobo38bo2bobo$24bobo14b3o27b3o$21b2obobob2o10b5o24b2o2bo$20b
o3bobo3bo8bob3obo20bobobo2b2o$20bo2bo3bo2bo5bo11bo17bobo4bo$20bo9bo4bo
4bo3bo4bo16b2o$20bo9bo4bo3bo5bo3bo19bo$20bo3bobo3bo4b3o9b3o19bo$21bo2b
obo2bo35b3ob2o$21bo7bo35b3o$23b2ob2o38bob2o$67b2o$23b2ob2o40bo$23bo3bo
39bo2b2o$69b2o$22b2o3b2o40bo$65bo3bo$69bo$47b3o19bo$67bo2bo$28bo39b3o$
17b3o7b3o40bo$27b3o$17bo2bo8bo40b2o$21bo7b3o$18bo2bob2ob2obobo38b3o$
19b3o2bobo3b2o$18bo4bo2bo4bo2bo23b3o3b3o$18b6ob3o3bo$17bo4bo3bo4bo25bo
2bo3bobo$18bo2b6o4bo32bobo$19b2o3b2o4bo2bo22bobo6bo$17bobo10b3o22bo2b
4o3b3o$17bo2bo9bo24b2o4bo2b2o2bo$16bobobo34b2o5b3ob4o$19b3o7b2o24b3o8b
o$19b3o33b3o4bo$19b2o7b3o26bo4b7o$19b2o34bob2o3bo6bo$16b3o38bo4bo4bobo
$57b2o2bobo2$16b2o38bo10b2o$16b2o39bo4bob3obo$17b2o38bo5bob2ob2o2$64b
6ob2o$67bo3b3o$27bo25bo8b6obo4bo$16b3o7b3o15b2o8b2o5bo3b3obo4bo$26b3o
15b2o7b2o7b2o$16bo2bo8bo37b3o$20bo7b3o3bo34bo$17bo2bob2ob2obobo2bo30b
3ob2o12bo$18b3o2bobo3b2o4bo28bob3o13b2o$17bo4bo2bo4bo32bo2b3o11bo2b2o$
17b6ob3o3bo3bo40bo2b2o3b2obo$16bo4bo3bo4bo39bob2o2bo2bobo5bo$17bo2b6o
4bo38b2ob2o2bo3bobo2b2o$18b2o3b2o4bo2bo41b3o3b2o$16bobo10b3o37bo2b2obo
$16bo2bo9bo39bo$15bobobo$18b3o7b2o$18b3o$18b2o7b3o$18b2o$15b3o2$20b3o
8b3o$15b2o4bo10bo$15b2o$14b2o4b4o6b4o$20bo3bo4bo3bo$19bo4bo4bo4bo9b2o$
22b2o6b2o12b2o$18bo16bo$17b3o14b3o$21bo10bo$19bo3bo6bo3bo$20bo2bo6bo2b
o$20b2obo6bob2o$19b2o3bo4bo3b2o$18bo5b2o2b2o5bo$19b2o3b2o2b2o3b2o$24b
2o2b2o$23b3o2b3o$22bo8bo$22bo2bo2bo2bo$23b2ob2ob2o$21b2obo4bob2o$21b2o
8b2o$21b2obo4bob2o$20b2o10b2o$19bo2bo8bo2bo$18bo4bo6bo4bo$19bo14bo$19b
o3bo6bo3bo$21b4o4b4o45bo$22b3o4b3o12b2o33b2o$17b3o14b3o7b2o32b2o$17bob
obo10bobobo$19b4o8b4o$21b3o6b3o2$25bo2bo$24b2o2b2o$23bo6bo$24bo4bo2$
24b2o2b2o$23bob4obo$23b2o4b2o$25bo2bo$22bo3b2o3bo$24b6o$23bo6bo$21b2ob
6ob2o$24bob2obo$19b4o2bo2bo2b4o$19bo14bo$21b2obo4bob2o$19b2o5b2o5b2o$
19bob2o3b2o3b2obo$18bo3bo8bo3bo8b2o$19bo5bo2bo5bo9b2o$23b2o4b2o6b3o$
19bo5bo2bo5bo$21bo10bo3bo2bo$34bo2bo$33b2ob3o$32bo2bo$33b2o$33b2o$34bo
bo2$34bo2bo$37bo$34bo3bo$33b2obo$33b3ob2o$34bo2bob2o$34b2o$35bo5bo$40b
o$37b3o$38b2o$37b3o$37b3o$37b3o$37bo$36b2obo$37bo$36b2o2$35bo$36bo$36b
o!
It seems like there should also be a p148 rake based on the following puffer (also by Summers), but I have not yet tried to find one:

Code: Select all

x = 56, y = 147, rule = B3/S23
29b3ob3o$28b2o2bo2b2o$28b2obobob2o$29b3ob3o$31bobo$29b3ob3o$28bo2bobo
2bo$28b2obobob2o$26b2obobobobob2o$26bo2bobobobo2bo$24bo3bo2bobo2bo3bo$
25b3obobobobob3o$26b4obobob4o$28b3o3b3o$29bobobobo$27b2o7b2o$26bobobob
obobobo$26bo2b2obob2o2bo$27bo3b3o3bo$25b2o2b3ob3o2b2o$28bo2bobo2bo$28b
o2bobo2bo$26bo4bobo4bo$26bo2bo5bo2bo$28bobobobobo2$30b5o3$24b3o11b3o$
29b2obob2o$24bo2bobo5bobo2bo$27bo3bobo3bo$30b2ob2o$32bo$29bo5bo2$26b3o
2bobo2b3o$26bob4ob4obo$27bo9bo$26bo11bo$24bo2b2o7b2o2bo$24b2o2bo7bo2b
2o$24b4o3b3o3b4o$28bo7bo$25b3o3bobo3b3o$25b4obo3bob4o$28b2o2bo2b2o$27b
2obobobob2o$26b2obo5bob2o$26bo2bob3obo2bo$27bo4bo4bo$24b3o5bo5b3o$31bo
bo$27b4o3b4o$27bob2o3b2obo$24bo2bo9bo2bo$23bobobobo5bobobobo$23bobo4bo
3bo4bobo$24bob2o9b2obo2$26bobo3bo3bobo$26b2o4bo4b2o$31bobo$24bo3bo7bo
3bo$24b2obo2bo3bo2bob2o$28bo7bo$26b2o3b3o3b2o$24bo2b11o2bo$26b2o9b2o$
28bobo3bobo$28b3o3b3o$27b2o7b2o$26bo3b2ob2o3bo$26bo2b3ob3o2bo$28bobo3b
obo$25bo2b2o2bo2b2o2bo$24b5o3bo3b5o$47bo$24bo15bo5b3o$26bobob2ob2obobo
7b3o$26b2o3bobo3b2o9bo$28bo2bobo2bo8b4o$25b2o2bo5bo2b2o4bobob2o$25b2ob
obo3bobob2o4bo5bo$4b3o17b2o2b3o3b3o2b2o8b2o$24bo5b5o5bo7bo2bo$3bo2bo
17bobobo7bobobo4b2obobo$3bo3bo18b4o5b4o5b3obo3b2o$6b2o17bo13bo3bo6bo$
3b2obobo17bo11bo$2bobo2bo20bob5obo9b3o$b3o39b2o$bo2b2o37b2o4bo$2o2bobo
bo37bobo$bo4bobo36b2o$7b2o37bobo$5bo18bo20bo2bo$5bo17b3o4b2ob2o10bobob
o$4b2ob3o13bobo3b2o3bo9b3o$7b3o13b4ob2o14b3o$5b2obo14b2ob3o15b3o$6b2o
14bobo6b3o11b2o$6bo16bo21b2o$3b2o2bo14bo4bo19b3o$4b2o9b2o5b2obo$5bo8bo
bo5b2ob2o$5bo3bo3b3o10b2o20b2o$5bo5b2ob2o9bobo20b2o$5bo5bo2b2o4bo5bo4b
3o15b2o$4bo2bo3bo3bo3bobo$4b3o5b2obo3b2o$4bo9bo2$3b2o18bo$22bobo$2b3o
18b2o$31b3o8$31b3o12bo$46bo$45bobo2$48bo3bo$48b5o$48bo4bo$48bo3bo$48bo
5bo$54b2o$49b3o3bo$52b2o$48bobob3o$47b2obob3o$47b2obo$49bo2$47bob4o$
47bo3b2o$46bo5bo2$46b3o!
Note that the fact that this puffer is p148 only really depends on the upper right sparker.

Does anyone have copies of the p44 and p88 puffers recorded on Jason Summers' status page? I can't seem to find them.
-Matthias Merzenich

Platypus5
Posts: 33
Joined: August 15th, 2011, 12:56 pm

Re: New c/4 orthogonal puffers

Post by Platypus5 » October 9th, 2011, 7:24 pm

Thanks!

I have been able to make new battle ships using this.

Jormungant
Posts: 605
Joined: May 27th, 2016, 1:01 am

Re: New c/4 orthogonal puffers

Post by Jormungant » November 24th, 2021, 11:35 am

What time is it? It is necroposting time! Here is some p96 1/4c rake: (combined 3 p24 rakes)

Code: Select all

x = 172, y = 160, rule = LifeHistory
16$129.A.A.A$128.7A$128.A5.A$129.A3.A$113.A15.A3.A15.A$113.A11.A.2A.
3A.2A.A11.A$112.A.A10.A.A7.A.A10.A.A$125.2A9.2A$111.A39.A$110.A.4A9.
2A9.2A9.4A.A$110.A.2A11.3A7.3A11.2A.A$111.A3.A11.2A5.2A11.A3.A$127.A.
A3.A.A$116.2A11.A3.A11.2A$115.2A11.2A3.2A11.2A$131.A$115.A11.A.5A.A
11.A$114.A.A.A10.5A10.A.A.A$113.A3.A.2A5.2A7.2A5.2A.A3.A$119.2A5.A9.A
5.2A$117.A.A11.A11.A.A$114.3A.3A4.2A4.A4.2A4.3A.3A$115.2A14.A14.2A2$
120.2A5.9A5.2A$117.2A.2A4.A9.A4.2A.2A$84.A3.A28.2A3.A6.2A.2A6.A3.2A$
82.9A27.A2.A4.A.A2.A2.A.A4.A2.A$118.2A3.A3.2A5.2A3.A3.2A$85.3A35.A4.
3A.3A4.A$84.5A31.A5.2A2.A.A2.2A5.A$67.3A11.2A7.2A11.3A14.3A3.3A.A.A.
3A3.3A$80.3A7.3A24.3A.2A3.A.A.A.A.A.A3.2A.3A$67.A2.A8.A13.A8.A2.A11.
2A2.A5.2A.A.A.2A5.A2.2A$66.A3.A31.A3.A11.2A.A8.A.A8.A.2A$66.2A11.A2.A
7.A2.A11.2A12.3A8.A.A8.3A$65.A.A.2A9.2A9.2A9.2A.A.A10.2A9.2A.2A9.2A$
65.A16.A7.A16.A7.3A3.A6.A.A.A.A6.A3.3A$71.A10.2A5.2A10.A25.A7.A$71.A
11.2A3.2A11.A14.A3.A8.A3.A8.A3.A$70.2A11.A5.A11.2A13.A2.A9.A3.A9.A2.A
$118.A6.A2.A5.A2.A6.A$82.A2.3A2.A37.A5.A$69.3A2.A7.3A3.3A7.A2.3A15.2A
4.2A9.2A4.2A$69.2A.A.A6.2A7.2A6.A.A.2A15.A23.A$69.2A.A.A23.A.A.2A15.
2A.A2.2A9.2A2.A.2A$70.A3.A5.A11.A5.A3.A18.A4.A9.A4.A$70.3A.2A5.A3.3A
3.A5.2A.3A18.A19.A$69.A11.A9.A11.A22.2A7.2A$121.2A17.2A$72.A3.A6.2A3.
2A6.A3.A19.A2.A2.2A7.2A2.A2.A$72.A2.2A5.2A.3A.2A5.2A2.A20.A.A2.2A7.2A
2.A.A$73.A3.2A2.2A2.3A2.2A2.2A3.A23.2A.A.A5.A.A.2A$73.2A.A4.2A7.2A4.A
.2A20.2A2.A3.A5.A3.A2.2A$74.2A.2A4.A5.A4.2A.2A$76.2A6.A3.A6.2A25.2A
15.2A$76.A4.A2.2A.2A2.A4.A25.3A.2A3.A3.2A.3A$35.A3.A36.2A2.A.2A.A.A.
2A.A2.2A25.A4.A3.A3.A4.A$34.3A.3A32.2A8.A.A.A.A8.2A24.A.A.A2.A2.A.A.A
$34.3A.3A31.2A3.A2.A2.A.A.A.A2.A2.A3.2A19.5A.3A.3A.3A.5A$75.A.A4.A2.A
.A2.A4.A.A22.2A3.A.9A.A3.2A$32.A2.A3.A2.A31.A10.A.A10.A25.A4.5A4.A$
31.2A3.A.A3.2A30.A2.A6.2A.2A6.A2.A$29.2A5.A.A5.2A24.2A2.2A9.A.A9.2A2.
2A8.A8.3A$29.6A.A.A.6A25.2A.2A6.2A5.2A6.2A.2A9.A19.A11.A$31.2A9.2A27.
4A7.3A3.3A7.4A8.A.A7.A2.A7.A10.3A7.3A$34.2A3.2A32.A7.2A7.2A7.A31.A10.
3A$32.3A5.3A29.A8.3A5.3A8.A12.3A6.A.A17.A8.A2.A$31.A.2A5.2A.A30.A6.A
9.A6.A13.A.A.2A.4A2.A14.3A7.A$31.A2.A5.A2.A31.A4.2A.A5.A.2A4.A13.4A2.
A.A4.2A14.A.A.2A.2A.A2.A$34.2A3.2A32.A2.A4.A9.A4.A2.A11.A4.A7.2A14.2A
3.A.A2.3A$36.A.A34.A6.2A9.2A6.A10.5A.3A.A2.3A11.A2.A4.A2.A4.A$9.A24.
3A.3A24.A9.3A17.3A12.A12.3A11.A2.A3.3A.6A$8.2A13.2A8.A.2A.2A.A8.2A13.
2A15.A7.A20.5A3.A3.A16.A4.A3.A4.A$7.2A2.A11.2A.2A3.2A9.2A3.2A.2A11.A
2.2A13.A9.A20.4A3.A2.2A.A12.A2.A3.6A2.A$5.A.2A3.2A2.A8.A2.A3.3A5.3A3.
A2.A8.A2.2A3.2A.A6.2A3.A9.A3.2A15.A10.A15.3A4.2A3.2A$4.A5.A.A2.A2.2A.
A4.2A19.2A4.A.2A2.A2.A.A5.A4.A2.A15.A2.A11.2A2.A8.2A6.A.A8.A10.A.A$5.
2A2.A.A3.A2.2A.2A4.A19.A4.2A.2A2.A3.A.A2.2A6.A.A2.2A7.2A2.A.A13.2A18.
2A19.A2.A$10.2A3.3A15.2A5.2A15.3A3.2A10.2A2.3A.A5.A.3A2.2A13.A9.A9.A
9.2A8.A.A.A$16.A.2A2.A4.2A4.2A5.2A4.2A4.A2.2A.A16.2A2.A3.A5.A3.A2.2A
13.A10.A27.3A$22.A9.2A7.2A9.A27.A.A7.A.A18.A10.A18.3A6.3A$27.2A17.2A
62.A2.A37.2A$27.2A17.2A28.6A9.6A13.3A38.2A$26.A2.A2.2A7.2A2.A2.A30.A.
2A2.3A2.2A.A16.A42.3A$29.A4.A5.A4.A33.A.A9.A.A$26.2A.2A.A.A5.A.A.2A.
2A27.2A.A2.2A5.2A2.A.2A12.2A$29.3A.A7.A.3A29.2A3.A2.7A2.A3.2A56.2A$
27.3A15.3A30.2A13.2A14.3A42.2A$28.A.A13.A.A77.A.A26.2A$27.A2.A.2A7.2A
.A2.A48.A27.2A$28.A.A3.A.3A.A3.A.A48.3A7.3A17.A$30.A.A.2A3.2A.A.A19.A
8.3A19.3A$26.A.3A13.3A.A14.3A8.A20.A8.A2.A$26.A4.A11.A4.A14.2A.A19.A
6.3A7.A$65.2A8.2A8.A.A5.A.A.2A.2A.A2.A$47.A17.2A2.2A.2A2.2A6.A3.A4.2A
3.A.A2.3A$47.A17.2A3.A.A4.A7.A.A2.A2.A4.A2.A4.A$15.A8.3A9.3A7.A.A7.3A
9.A.A.A.A3.2A6.A3.A2.A3.3A.6A$15.A41.A6.4A5.A4.3A12.A4.A3.A4.A$14.A.A
7.A2.A17.A8.2A8.A3.A3.A5.2A11.A2.A3.6A2.A$45.2A.A3.4A7.A.A.A3.A6.2A
12.3A4.2A3.2A12.A.A$17.3A6.A.A14.A2.4A.2A4.A10.A.2A3.3A16.A10.A.A10.
2A$16.A.A.2A.4A2.A12.A2.A.A.A.A2.A2.A6.2A38.A2.A11.A$15.4A2.A.A4.2A5.
A6.A6.A2.A10.3A28.2A8.A.A.A$15.A4.A7.2A5.A6.A8.3A.2A.A3.A3.A8.2A26.3A
$14.5A.3A.A2.3A13.A2.A2.4A5.A3.A3.A8.2A17.3A6.3A$14.A12.3A8.A4.A9.A3.
A8.A7.2A28.2A$15.5A3.A3.A11.A5.2A6.A12.A22.A14.2A$16.4A3.A2.2A.A6.2A.
A16.2A4.A2.A24.A15.3A$16.A10.A9.2A6.2A9.A.2A5.A22.3A$13.2A2.A8.2A18.A
9.2A.A2.2A$14.2A40.2A49.2A$15.A9.A20.2A8.3A3.2A43.2A3.A.A$15.A10.A29.
3A4.A42.2A4.2A$15.A10.A31.A54.A$14.A2.A38.A.2A3.2A$14.3A41.A$14.A43.
2A2$13.2A28.A13.A37.A$41.A.A14.A37.A$13.3A26.2A14.A35.3A3$106.A.A$
106.2A$107.A5$49.A51.A$47.A.A52.A$48.2A50.A$59.3A3.3A3.3A3.3A3.3A3.3A
3.3A3.2A$59.A5.A5.A5.A5.A5.A5.A4.2A$60.A5.A5.A5.A5.A5.A5.A3.A.A$100.
2A$101.A!

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