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Perfect Diagonal Speeds in Life-like CA

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Perfect Diagonal Speeds in Life-like CA

Postby muzik » June 26th, 2017, 9:36 am

it had to be done

Rules follow the orthogonal thread as closely as possible. Glide reflective allowed if the overall period still matches the speed.

c/2: (Impossible in Life)
x = 3, y = 4, rule = B2ac/S1
o$b2o2$2bo!


c/3: (Impossible in Life)
x = 3, y = 3, rule = B2-ai3-in4w/S1c2aei3-aj
obo$bo$2bo!


c/4: (glider)
x = 3, y = 3, rule = B3/S23
b2o$obo$2bo!


c/5: (Unnamed)
x = 23, y = 23, rule = B3/S23
b2o$b2o$o2bo$o2bob2o$o$o2bo3b2o$bo5b2o$b5obo$6bo3$7b3o$9bo$10b2o$11bo
4b2o$11bo3b3o$14bo4bo$15bo3bo$15bo$15bobob2o$15bo5b2o$15b2o4b2o$17b4o!


c/6: (Unnamed)
x = 36, y = 36, rule = B3/S23
bo$obo$o2b2o2$5bo$3b2o2b2o$7b2o$8bo$8bobo$9b2o$9bo2bo$8bo4bo$8bo5bo$
13bo3bo$11b2o3bobo$15b2ob2o$12bobo4b2o$12bo7b2o$12bo9bo$20b2o$20bo$19b
o3bo$22bobo$17b3obo3bo$21bo$26b2o$25b2o$23b2o2b4o$29b2o2$31bo$30bo2bo$
30bo2bo$34bo$35bo$33b2o!


c/7: (Lobster)
11b3o$13bo$8b2o2bo$8b2o$12b2o$11b2o$10bo2bo2$8bo2bo$7bo3bo$6bob3o$5bo$
5bo13bobo2b2o$6bo13b2obobo$b2o13b2o2bo4bo$o2b2o2b2o6bo3bo$5bo2bo6bo6b
2o$9b2o4bobo4b2o$2bo3bo3bo5bo$6b2o4bo2bo$bobo5bo3b2o$2o8bo$5bo4bo$7bo
3bo$4b2o5bo$4bo5bo!


c/8:
x = 5, y = 4, rule = B36/S125
3o2$2bobo$bo!


c/9:
x = 4, y = 4, rule = B347/S3567
obo$ob2o$2o$4o!


c/10:
x = 3, y = 3, rule = B34-air/S234-air
b2o$b2o$o!


c/11:
x = 5, y = 5, rule = B2n3-r4ew5cky6n/S023-r
bo$3bo$o$4bo$2bo!


c/12: (Known in Life, but not at this period)
x = 4, y = 4, rule = B2cek3acijr5c6cik/S2-ck3inr
obo$3bo2$3bo!


c/13:
x = 5, y = 9, rule = B35c6-k78/S234-aqrwy
3$b3o$3bo$bobo!


c/14:
x = 3, y = 3, rule = B2ek3-qy6cik/S2aein3inr4ai5i
2bo$o$bo!


c/15:
x = 5, y = 5, rule = B3457/S35
5o$bo2bo$b2obo$2b3o$4bo!


c/16:
x = 3, y = 4, rule = B2ek3-ajny4aw/S02-ei3n4aq
o$2bo2$o!


c/17:
x = 6, y = 6, rule = B3457/S1457
2b3o$6o$o3b2o$b2ob2o$b2obo$3b2o!


c/18:
x = 3, y = 4, rule = B2in34r/S1e2-e3-a4ijt
b2o$obo$obo$bo!


c/19:
x = 6, y = 6, rule = B3/S14568
4b2o$2b4o$2b3o$b4o$b2o$o!


c/20:
x = 5, y = 5, rule = B34/S04578
bo$4o$4o$5o$b3o!


c/21:
x = 3, y = 3, rule = B2n34-a7/S2-in3
3o$2bo$2bo!


c/22:
x = 4, y = 3, rule = B2c3ajk4/S1c23
bo$2bo$2obo!


c/23:
x = 4, y = 4, rule = B3567/S02467
bo2$o2bo$2o!


c/24:
x = 7, y = 7, rule = B3467/S04568
5bo$4b3o$2b4o$2bobo$ob3o2$obo!


c/25:
x = 6, y = 6, rule = B2-a3-ik4-aik/S23
b2o$b2o$o2bo$4b2o$4b2o$3bo!


c/30:
x = 4, y = 4, rule = B38/S234wz
bobo$o2bo$o2bo$b2o!


c/42:
x = 5, y = 3, rule = B2cei3-i/S235a
2o$o$2b3o!


c/66:
x = 4, y = 4, rule = B34e/S23-e
bobo$o2bo$o2bo$2o!


c/118:
x = 8, y = 8, rule = B347/S356
2b3o$bo2b3o$ob2o2bo$obo3b2o$b2o2bobo$3b3obo$3bo2bo$4b2o!


c/125:
x = 9, y = 9, rule = B34568/S18
4b3obo$5bo$2b5obo$3o3b3o$3obobobo$obo3bo$ob5o$o3b2o$6o!


c/129:
x = 8, y = 8, rule = B34578/S458
bobo$b2o$4obo$5o$3ob2obo$7o$8o$6o!


c/132: (B0)
x = 5, y = 4, rule = B01348/S14
2o$obobo$b2o$3o!


c/156: (B0)
x = 6, y = 6, rule = B0138/S01235
b2o$o$2b2o$bobobo$b2o2bo$4bo!


c/161:
x = 9, y = 7, rule = B34568/S458
2b6o$2b7o$obo2b2o$2bo2b3o$o3bo$2b4o$b3o!


c/177:
x = 11, y = 11, rule = B34568/S4578
6bo$4b3o$4b2ob2o$2b3ob3o$2b2ob3ob2o$7ob2o$6ob3o$ob6o$bob5o$b2ob2o$3b3o
!


c/178: (B0)
x = 9, y = 9, rule = B0124/S0136
2b2o$4bo$6bo$4obo$2b3o2bo$3b3o2bo$4b2o2bo$5bo$5bo!


c/180: (B0)
x = 7, y = 5, rule = B016/S0124
b3o$3bob2o$2o3b2o$3bo$b2o!


c/195:
x = 9, y = 9, rule = B3458/S456
3b4o$3b4o$b2o4b2o$b5ob2o$3o2bob2o$4obob2o$7o$2b5o$2b3o!


c/230:
x = 4, y = 5, rule = B34568/S268
b3o$3bo$3o$b3o$bo!


c/245:
x = 11, y = 11, rule = B3457/S456
5b5o$3bob2obobo$3bobobob2o$b5o2bobo$b5o3b2o$5ob5o$bob5o$10o$b3ob3o$b7o
$3bobo!


c/368:
x = 8, y = 8, rule = B3457/S456
2bobo$7o$3ob3o$4ob3o$5obo$b7o$b6o$3b4o!


c/723:
x = 10, y = 10, rule = B34578/S4568
3bobobo$3b2o2bo$b3ob2ob2o$2b2ob3o$2obob3obo$b3o4bo$2ob7o$bo2bob2o$b5ob
o$3bobo!


work in progress
Last edited by muzik on June 30th, 2017, 10:07 am, edited 9 times in total.
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Re: Perfect Diagonal Speeds in Life-like CA

Postby Saka » June 26th, 2017, 10:06 am

No non-tot. rules? :(
If you're the person that uploaded to Sakagolue illegally, please PM me.
x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!

(Check gen 2)
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Re: Perfect Diagonal Speeds in Life-like CA

Postby muzik » June 26th, 2017, 10:09 am

Saka wrote:No non-tot. rules? :(

not yet, no
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
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Re: Perfect Diagonal Speeds in Life-like CA

Postby Rhombic » June 26th, 2017, 11:23 am

Smaller c/10
x = 3, y = 3, rule = B34-air/S234-air
obo$o$3o!
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Re: Perfect Diagonal Speeds in Life-like CA

Postby toroidalet » June 26th, 2017, 2:06 pm

c/22
x = 4, y = 3, rule = B2c3ajk4/S1c23
2obo$2bo$bo!

c/3
x = 3, y = 3, rule = B2-ai3-in4w/S1c2aei3-aj
2bo$bo$obo!

c/30
x = 4, y = 4, rule = B38/S234wz
b2o$o2bo$o2bo$bobo!

c/25
x = 6, y = 6, rule = B2-a3-ik4-aik/S23
3bo$4b2o$4b2o$o2bo$b2o$b2o!

c/14
x = 3, y = 3, rule = B2ek3-qy6cik/S2aein3inr4ai5i
bo$o$2bo!

c/12
x = 4, y = 4, rule = B2cek3acijr5c6cik/S2-ck3inr
3bo2$3bo$obo!

c/16
x = 3, y = 4, rule = B2ek3-ajny4aw/S02-ei3n4aq
o2$2bo$o!

c/2
x = 3, y = 4, rule = B2ac/S1
2bo2$b2o$o!

Also, what's with the enormous c/4-c/7 ships?
"Build a man a fire and he'll be warm for a day. Set a man on fire and he'll be warm for the rest of his life."

-Terry Pratchett
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Re: Perfect Diagonal Speeds in Life-like CA

Postby Rhombic » June 26th, 2017, 2:33 pm

c/21, fewer cells
x = 3, y = 3, rule = B2n34-a7/S2-in3
3o$o$o!

Amusingly closely related c/18
x = 3, y = 3, rule = B2n34-a7/S2-in34q
3o$o$o!
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Re: Perfect Diagonal Speeds in Life-like CA

Postby Rocknlol » June 26th, 2017, 3:34 pm

A c/66:
x = 4, y = 4, rule = B34e/S23-e
2b2o$o2bo$o2bo$obo!
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Re: Perfect Diagonal Speeds in Life-like CA

Postby 83bismuth38 » June 26th, 2017, 4:04 pm

Rhombic wrote:Smaller c/10
x = 3, y = 3, rule = B34-air/S234-air
obo$o$3o!
did you know about my PlasmaLife thread o.O
x = 8, y = 10, rule = B3/S23
3b2o$3b2o$2b3o$4bobo$2obobobo$3bo2bo$2bobo2bo$2bo4bo$2bo4bo$2bo!

No football of any dui mauris said that.
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Re: Perfect Diagonal Speeds in Life-like CA

Postby BlinkerSpawn » June 26th, 2017, 4:53 pm

83bismuth38 wrote:
Rhombic wrote:Smaller c/10
x = 3, y = 3, rule = B34-air/S234-air
obo$o$3o!
did you know about my PlasmaLife thread o.O

Yeah, I'm pretty sure that's where it's from.
Also, the preboat phase is the minimal one so that should be used.
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

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Re: Perfect Diagonal Speeds in Life-like CA

Postby Saka » June 26th, 2017, 8:26 pm

NSWSS
I didnt check if these have been posted.
C/14
x = 4, y = 4, rule = B2k3-j/S2-i3
2bo$o2bo$obo$2o!

C/10
x = 3, y = 3, rule = B2k3-e/S2-i3
2bo$3o$3o!

C/8
x = 4, y = 4, rule = B2-a3i/S1c278
obo$bobo$3bo$bo!

C/30
x = 4, y = 4, rule = B38/S234wz
b2o$o2bo$3bo$3o!

C/28 (Glide-Symmetric)
x = 6, y = 5, rule = B35in/S236n7c
4b2o$4b2o$bo2b2o$obo$b2o!

C/13
x = 5, y = 9, rule = B35c6-k78/S234-aqrwy
3$b3o$3bo$bobo!

C/11
x = 5, y = 5, rule = B2n3-r4ew5cky6n/S023-r
3bo$bo$4bo$o$2bo!

C/18 (Glide symmetric)
x = 3, y = 4, rule = B2in34r/S1e2-e3-a4ijt
bo$obo$obo$b2o!

C/42
x = 5, y = 3, rule = B2cei3-i/S235a
2b3o$o$2o!

C/19
x = 5, y = 5, rule = B2ein3aeijnq4ceiw5iy6n/S2ae3-a4ctyz5a
2bo$3b2o$obo$bo$bo!
If you're the person that uploaded to Sakagolue illegally, please PM me.
x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!

(Check gen 2)
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Re: Perfect Diagonal Speeds in Life-like CA

Postby muzik » June 30th, 2017, 10:08 am

We now have speeds from c/2 to c/25!
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Re: Perfect Diagonal Speeds in Life-like CA

Postby toroidalet » July 30th, 2017, 11:30 am

Better ships:
3-cell c/3
x = 3, y = 3, rule = B2cei3a/S02i3i
2bo2$obo!

3-cell c/4
x = 2, y = 3, rule = B2-a/S12-k
bo$bo$o!

3-cell c/5
x = 3, y = 3, rule = B2ein3acein4r5i/S02-ck3a
2bo2$obo!

3-cell c/6
x = 2, y = 3, rule = B2-a/S12
bo$bo$o!

3-cell c/7
x = 3, y = 3, rule = B2cen3eqry4aeijnrt5eny6-n7e/S012ae3ejknq4eijknqt5ckry6-i7
2bo2$obo!

3-cell c/8
x = 4, y = 3, rule = B2-an3aijy4-eirz5ikqr6acn8/S05q
3bo$o$2bo!

3-cell c/9
x = 3, y = 3, rule = B2eik3-jky4aeikryz5-cqry6-cn7e/S02k3e4c
2bo2$obo!

From the 5S diagonal ships file.
"Build a man a fire and he'll be warm for a day. Set a man on fire and he'll be warm for the rest of his life."

-Terry Pratchett
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