Natural ships with strange speeds.

[Saka]

Usually, natural ships have normal speeds, like c/2, 2c/5, c/3, c/4, etc, but, sometimes, in some rules, the natural ships can have very strange periods, post them here.
RULES:
-Must not be in a rule specifically designed for strange speeds (MovingStrings, pteriforeverspaceships, etc.)
-Must be all-natural (From soup, not designed or even gfind)
-The strange speed must be in "minimal" form, so 20c/50 is not allowed/is not a strange speed.
-A strange speed, here, is defined as:
a. Incredibly slow (Slower than c/6 is accepted)
b. Life has < 2 spaceships of this speed
c. A weird slope (e.g. 2,52)
This is a strange speed:
(2,13)126c/1826364
This is NOT a strange speed:
42c/60 (The same as 2c/5)
(And no, I have not found any spaceships of that speed)
I'll start:
5c/14

Code: Select all

x = 11, y = 7, rule = B2-a3i/S1c278
2b3o$b2ob2o$bo3bo$obo2bo4bo$bo3bo$b2ob2o$2b3o!

c/8

Code: Select all

x = 4, y = 4, rule = B2-a3i/S1c278
obo$bobo$3bo$bo!

3c/10

Code: Select all

x = 4, y = 4, rule = B2-a3-i/S03
bo$o2bo$bobo$2bo!

3c/13

Code: Select all

x = 9, y = 2, rule = B2-a3/S2-a
o2bobo2bo$bobobobo!

c/16

Code: Select all

x = 5, y = 5, rule = B2ce3aiy/S12aei3r
bobo$bobo2$5o$b3o!

c/63

Code: Select all

x = 8, y = 8, rule = B2ce3aiy/S12aei3r
2bo$bobo2$5o2$7bo2$7bo!

(2,1)c/22

Code: Select all

x = 5, y = 3, rule = B3acijk/S23-a4
3o$ob3o$4bo!

[Gamedziner]

-The strange speed must be in "minimal" form, so 20c/50 is not allowed/is not a strange speed.
This is a strange speed:
(2,13)126c/1826364

Wouldn't that speed be (2,13)21c/304394?

[Rhombic]

c/12: xq12_1s6a/b2-a3i4aijks2a3-i4

Code: Select all

x = 4, y = 5, rule = B2-a3i4aijk/S2a3-i4
o$2b2o$b2o$bobo$bo!

5c/28: xq28_33kks/b3s2-i34y5r7-c

Code: Select all

x = 7, y = 8, rule = B3/S2-i34y5r7e
4bo$3b3o$2bo2b2o$b2ob3o$2b4o$b4o$2o$2o!

10c/92

Code: Select all

x = 3, y = 6, rule = B34c5eq7c/S2-i34ce5c7e8
bo$3o$b2o$2bo2$o!

c/8:

Code: Select all

x = 4, y = 4, rule = B2-a34q/S2k3-jnry4awy
bobo$2o$3bo$bo!

c/14

Code: Select all

x = 4, y = 5, rule = B2-a34q/S2k3-jnry4awy
b2o$o2bo$3bo$3bo$3bo!

8c/28

Code: Select all

x = 24, y = 28, rule = B35a6e7c/S23
7$15bo$14b3o$13b2ob2o$12b3ob3o$13b2ob3o$14bobo$14b2obo$14b2ob2o$11bo2b
o4bo$10bobo2bo$10bobo2b2ob2o$11bo5bo!

c/10

Code: Select all

x = 3, y = 3, rule = B2k3-e/S2-i3
2bo$3o$3o!

[calcyman]

My favourite is the famous family of (5, 2)c/190 spaceships in B38/S23:

https://mathematrec.wordpress.com/2016/ ... nd-52c190/

[Rocknlol]

B2i34cik7/S23-a4cikn7 is one of the strangest rules I've seen. Its natural ship speeds include c/2, 7c/29, 20c/83, and c/73.

Code: Select all

x = 125, y = 48, rule = B2i34cik7/S23-a4cikn7
82bobo$82b3o$82bobo$82bobo$82b3o4$80bobobobo2$79b2o2bo2b2o2$70b3o6bo2b
3o2bo6b3o$83bo$81b2ob2o$81bobobo$82b3o$83bo19$28b2o$28b2o52bobo$28b2o
45b3o11b3o$27b2o46bobo11bobo$74b4o11b4o$29b2o44bo2bo9bo2bo$28bobo48b2o
5b2o$o43b2o29bo4bo5bo4bo29b3o$3bo40bobo28bo3bo7bo3bo$2b2o42bo27b3o13b
3o27bo3bo$o2bo39bob2o28b3o11b3o28bo3bo$b3o39b2o31bo13bo29bobobo!

Something interesting to note is that because 7/29 and 20/83 are very close but not identical to each other, the second ship will surpass the third ship by only one cell every 2407 generations.

The c/73 ship can also push one or two blinkers, which doesn't change its speed but gives it a period of 1679.

Code: Select all

x = 25, y = 12, rule = B2i34cik7/S23-a4cikn7
11b3o2$10bo3bo$10bo3bo$10bobobo5$o23bo$o23bo$o23bo!

Another (less) interesting rule is B2in34k/S2-e3aeijq4-jr, which I've been exploring because of the ease of finding new ship speeds. I've found quite a few of them using gfind, but some interesting speeds that occur naturally are 5c/26 diagonal, c/8 diagonal, and c/14 diagonal.

Code: Select all

x = 28, y = 28, rule = B2in34k/S2-e3aeijq4-jr
26bo$25b3o$23bo$22bo2$21bo$20b2o$21bo4$14bo$13bo$12bobo$10b2o2bo$13bo$
11bobo$12bo7$b2o2bo$obob2o$o3bo$b3o!

[_zM]

c/14:

Code: Select all

x = 6, y = 5, rule = B3-e/S23
3b3o$4b2o$bo2b2o$o2bo$bobo!

[Caenbe]

c/6 and 3c/14 orthogonal:

Code: Select all

x = 8, y = 11, rule = B2i3/S02-i3
5b2o$2bobo2bo$5b2o6$5b2o$obobo2bo$5b2o!

[Saka]

c/6 and 3c/14 orthogonal:

Code: Select all

x = 8, y = 11, rule = B2i3/S02-i3
5b2o$2bobo2bo$5b2o6$5b2o$obobo2bo$5b2o!

I vite we name 3c/14 pi ship

[Saka]

2c/9 orthogonal (actually 4c/18)

Code: Select all

x = 5, y = 5, rule = B2-a/S12i3
3bo$obobo2$3b2o$bo!

[_zM]

c/25

Code: Select all

x = 5, y = 3, rule = B2e34ci/S12cn45
2b2o$2o2bo$2b2o!

[toroidalet]

6c/29:

Code: Select all

x = 5, y = 11, rule = B2i3-ck/S02-i3-ck
b3o$2ob2o9$b3o!

Asymmetric variant:

Code: Select all

x = 14, y = 9, rule = B2i3-ck/S02-i3-ck
b2o$obo$o12bo$obo10bo$b2o9b2o$13bo$7b2o4bo$7b2o$13bo!

Both found by apgsearch in a rule based off of an earlier rule

2c/7 diagonal:

Code: Select all

x = 5, y = 5, rule = B38/S234wz
2b3o$bo$o$o3bo$o2bo!

c/30 diagonal:

Code: Select all

x = 4, y = 4, rule = B38/S234wz
b2o$o2bo$3bo$3o!

[Saka]

I just found two 2c/41 (6c/123) while browsing investigated rules. Haul submitted by anonymous.

Code: Select all

x = 15, y = 14, rule = B3-qr/S23-a4a5i
12b2o$7b2o3bobo$6bobo4b2o$6b2o$2b3o$b2obo$2o$2o$b2obo$2b3o$6b2o$6bobo
4b2o$7b2o3bobo$12b2o!

Code: Select all

x = 31, y = 23, rule = B3-qr/S23-a4a5i
4$11b2o4b2o$12b2o2b2o$9bo2bo4bo2bo$10b2o6b2o3$10b2o6b2o$9bobo6bobo$9b
2o8b2o2$7b2o$7b2o$7b2o11b2o$19bobo$19b2o!

[toroidalet]

3c/10:

Code: Select all

x = 5, y = 6, rule = B3-y6ci/S23-e
2bo$b3o$bobo$2bo$o3bo$o3bo!

[Saka]

11c/56, also very common

Code: Select all

x = 10, y = 9, rule = B35n/S237c
5bo2bo$5bobo$7b3o$8bo3$b2o$2o$bo!

[Rhombic]

2c/45

Code: Select all

x = 5, y = 5, rule = B2-a3air4jtwyz67c8/S2ae3e4n5-q6-e78
o3bo$bo$2bo$3bo$4bo!

[toroidalet]

c/7:

Code: Select all

x = 8, y = 3, rule = B2in3-nq4kqz5ck6n/S02-i3
5b2o$obobo2bo$5b2o!

The rule also has a c/6:

Code: Select all

x = 6, y = 3, rule = B2in3-nq4kqz5ck6n/S02-i3
3b2o$obo2bo$3b2o!

and a c/4 diagonal:

Code: Select all

x = 5, y = 5, rule = B2in3-nq4kqz5ck6n/S02-i3
2b3o$4bo$2bobo2$o!

and a 2c/5:

Code: Select all

x = 5, y = 5, rule = B2in3-nq4kqz5ck6n/S02-i3
b2o$2o$3b2o$bo2bo$b3o!

[AbhpzTa]

(1,0)c/27, p54, mod=54

Code: Select all

x = 4, y = 3, rule = B3/S2-a3-a4-ai5aikny
b3o$o2bo$o2bo!

(1,0)c/12, p12, mod=12

Code: Select all

x = 4, y = 4, rule = B3/S2-a3-a4-ai5aikny
4o$o2bo$4o$o2bo!

(1,0)c/17, p102, mod=51

Code: Select all

x = 4, y = 6, rule = B3/S2-a3-a4-ai5aikny
2o$o$2o$o$obo$4o!

[Saka]

(1,8)c/39, from Rhombic

Code: Select all

x = 4, y = 7, rule = B35a6e7c/S2-i34q
o$o$o$bo$b2o$o2bo$b2o!

5c/46 (10c/92) from Rhombic

Code: Select all

x = 6, y = 3, rule = B34c5eq7c/S2-i34ce5c7e8
2b3o$3b3o$o3bo!

c/17 (3c/51) (6c/102) from Anonymous

Code: Select all

x = 5, y = 4, rule = B3/S2-a3-a4-ai5aikny
b4o$o3bo$b4o$b2obo!

c/27 (2c/54) from Anonymous

Code: Select all

x = 8, y = 4, rule = B3/S2-a3-a4-ai5aikny
b2o3b2o$o2bobobo$bob3o$2bobo!

c/12 from Anonymous

Code: Select all

x = 4, y = 4, rule = B3/S2-a3-a4-ai5aikny
4o$bobo$bobo$4o!

c/8 from me

Code: Select all

x = 6, y = 3, rule = B2-a3-ij/S13
2o2b2o2$bo2bo!

[Saka]

3c/34 diagonal from me

Code: Select all

x = 3, y = 5, rule = B2-a3-i5eq78/S1c2cei34cei
b2o$2o$3o$2bo$bo!

c/25 from me

Code: Select all

x = 3, y = 4, rule = B2-a3-i/S1c2i3-a
obo2$3o$bo!

[Saka]

c/9 diagonal (4c/36) from Rhombic

Code: Select all

x = 7, y = 8, rule = B2-a4tw5r6i/S12ak4-qwz
6bo$3b2obo$3b2o$3bo$obo$3bo$obo$bo!

[Saka]

3c/13 QUEEN BEE

Code: Select all

x = 4, y = 5, rule = B35i/S2-i3-r4ce6c
bo$obo$o2bo$obo$bo!

c/14 diagonal

Code: Select all

x = 4, y = 4, rule = B2k3-j/S2-i3
2bo$o2bo$obo$2o!

c/10

Code: Select all

x = 5, y = 5, rule = B2k3-j/S2-i34crw
b2o$o2bo$2ob2o$o2bo$b2o!

[Saka]

c/7

Code: Select all

x = 6, y = 7, rule = B2-a3-i/S1e2-i3-a
3bo$4bo$o3bo$o3b2o$o3bo$4bo$3bo!

c/9

Code: Select all

x = 5, y = 5, rule = B2ik34i/S13-e
2b2o$2bobo$o3bo$2bobo$2b2o!

2c/17

Code: Select all

x = 4, y = 5, rule = B2-a3-i/S23-a
2o$o2bo$o$o2bo$2o!

c/7 diag

Code: Select all

x = 3, y = 3, rule = B2-a3-i/S1e2i3-a
b2o$o$obo!

TWIT IS A c/21!!

Code: Select all

x = 5, y = 5, rule = B2-a3/S2cei
bo$obo$bobo$3bo$3b2o!

[Gamedziner]

TWIT IS A c/21!!

Code: Select all

x = 5, y = 5, rule = B2-a3/S2cei
bo$obo$bobo$3bo$3b2o!

It's actually p42 diagonal. That means it could also be referred to as 2c/42.

[Saka]

TWIT IS A c/21!!

Code: Select all

x = 5, y = 5, rule = B2-a3/S2cei
bo$obo$bobo$3bo$3b2o!

It's actually p42 diagonal. That means it could also be referred to as 2c/42.

Speed needs to be in minimal form, remember??

[Gamedziner]

TWIT IS A c/21!!

Code: Select all

x = 5, y = 5, rule = B2-a3/S2cei
bo$obo$bobo$3bo$3b2o!

It's actually p42 diagonal. That means it could also be referred to as 2c/42.

Speed needs to be in minimal form, remember??

Yes, I was just pointing out the period is higher.