## Speeds for 1D spaceships

For discussion of other cellular automata.
Rhombic
Posts: 1057
Joined: June 1st, 2013, 5:41 pm

### Speeds for 1D spaceships

c/3:

Code: Select all

x = 4, y = 1, rule = B2cek3ai4t/S02c
ob2o!

c/4:

Code: Select all

x = 4, y = 1, rule = B2cei3e4a/S01e2-c3-iy
ob2o!
c/7:

Code: Select all

x = 4, y = 1, rule = B2-an4a/S1e2a3aey4at5i
ob2o!
c/7d:

Code: Select all

x = 4, y = 4, rule = B2-ai3ak4q/S02k3n
3bo2$bo$o!

c/8:

Code: Select all

x = 7, y = 1, rule = B2ce3ein5iy/S1e2k3eky4ek
5obo!


Code: Select all

x = 6, y = 1, rule = B2ce3y4c5ceiry6e7c8/S12c3r4eijknw5aky6e8
obob2o!
2c/8(no survival conditions!):

Code: Select all

x = 9, y = 1, rule = B2-ei3qy4iyz5r6i/S
ob2o2b3o!


Code: Select all

x = 5, y = 1, rule = B2ci3-ckn4-intyz5knqry6ci8/S03e5a7e
ob3o!
3c/8:

Code: Select all

x = 6, y = 1, rule = B2ce3cry4aejn5nr6ci7e/S01c2aek3n4-aijny5kr6en8
2obobo!
c/9:

Code: Select all

x = 6, y = 1, rule = B2cei3iq4aeiw5i6i/S01e2c3aey4ew5aijn6cik8
3o2bo!

2c/9:

Code: Select all

x = 4, y = 1, rule = B2ce3a4t5iy7e/S01c2ak3ejr
ob2o!
3c/9:

Code: Select all

x = 4, y = 1, rule = B2acn3nry/S02i
ob2o!
c/10:

Code: Select all

x = 4, y = 1, rule = B2ci3aei4w/S02i4et
ob2o!
2c/11:

Code: Select all

x = 8, y = 1, rule = B2cik3-ik4ckqrt5ek6-k7c8/S01c2e3-acky4aekw5ckr6ikn7c
ob2obobo!
2c/29!:

Code: Select all

x = 6, y = 1, rule = B2-ai3ceinr4aejntwz5ik6c7e/S02ek3ck
obo2bo!

3c/30d:

Code: Select all

x = 4, y = 4, rule = B2-ai3ceijy4aqw5cjk6n/S03j5q
3bo2$bo$o!

5c/63(!):

Code: Select all

x = 7, y = 1, rule = B2ein3-cy4ajknq5-enq6ci/S01c2i3k4y5er6n
3obobo!

Last edited by Rhombic on August 21st, 2017, 4:53 am, edited 3 times in total.
SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI
what is “sesame oil”?

Saka
Posts: 3138
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

### Re: Speeds for 1D spaceships

You might want to look on my posts in MDIOCA (Misc Disc. In OCA)
Smaller c/8

Code: Select all

x = 6, y = 1, rule = B2ce3y4c5ceiry6e7c8/S12c3r4eijknw5aky6e8
obob2o!
3c/8

Code: Select all

x = 6, y = 1, rule = B2ce3cry4aejn5nr6ci7e/S01c2aek3n4-aijny5kr6en8
2obobo!
2c/11

Code: Select all

x = 8, y = 1, rule = B2cik3-ik4ckqrt5ek6-k7c8/S01c2e3-acky4aekw5ckr6ikn7c
ob2obobo!
Airy Clave White It Nay

Code: Select all

x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!  (Check gen 2) Rhombic Posts: 1057 Joined: June 1st, 2013, 5:41 pm ### Re: Speeds for 1D spaceships Saka wrote:You might want to look on my posts in MDIOCA (Misc Disc. In OCA) I had already included those. Sounds like a daylight-saving time change with the time zone you might be in that has not synchronised with the forum value. I think you can edit it in settings, maybe. Last edited by Rhombic on August 20th, 2017, 8:30 am, edited 1 time in total. SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI what is “sesame oil”? Saka Posts: 3138 Joined: June 19th, 2015, 8:50 pm Location: In the kingdom of Sultan Hamengkubuwono X ### Re: Speeds for 1D spaceships Rhombic wrote: I had already included those. Wait wait how could you edit on 8:22 PM when it's still 7:24 PM? Is something wrong with the forums? Airy Clave White It Nay Code: Select all x = 17, y = 10, rule = B3/S23 b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!

(Check gen 2)

Saka
Posts: 3138
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

### Re: Speeds for 1D spaceships

c/7

Code: Select all

x = 6, y = 1, rule = B2cik3aj4-ajqrz5aknq6e78/S1e2ek4atw5ai
2ob3o!

2c/8

Code: Select all

x = 5, y = 1, rule = B2ci3-ckn4-intyz5knqry6ci8/S03e5a7e
ob3o!

2c/29!

Code: Select all

x = 6, y = 1, rule = B2-ai3ceinr4-ciky5-jqy6ac7e8/S02ek3ckn5y7c
obo2bo!

c/9

Code: Select all

x = 6, y = 1, rule = B2-ak3-aek4aceikw5ceijr6ei7e/S012ce3aeqy4eintwy5-eqy6-an8
3o2bo!

Airy Clave White It Nay

Code: Select all

x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!  (Check gen 2) toroidalet Posts: 1031 Joined: August 7th, 2016, 1:48 pm Location: my computer Contact: ### Re: Speeds for 1D spaceships c/3 and c/4: Code: Select all x = 6, y = 8, rule = B2cek3ai4t/S02c ob2o7$obob2o!

c/6:

Code: Select all

x = 4, y = 1, rule = B2ci3aijny5y/S01c2c3-ey
ob2o!

c/5:

Code: Select all

x = 4, y = 1, rule = B2ci3aijn5y/S02-ak3-ey
ob2o!

Smaller c/4:

Code: Select all

x = 4, y = 1, rule = B2cei3e4a/S01e2-c3-iy
ob2o!

"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

AforAmpere
Posts: 1050
Joined: July 1st, 2016, 3:58 pm

### Re: Speeds for 1D spaceships

C/7:

Code: Select all

x = 4, y = 1, rule = B2-an3kr4acr5acj6aik7e8/S1e2-ce3aey4akntz5airy6ak7e8
ob2o!
C/8:

Code: Select all

x = 4, y = 1, rule = B2-a3-acjn4-cjqwz5eknqy6c78/S1e3cnr4aikz5cqy6ack
ob2o!
C/9:

Code: Select all

x = 4, y = 1, rule = B2ci3anr4-jqwyz5cnr78/S01e3eqry4acejqw5-airy6ekn
2obo!
2c/8:

Code: Select all

x = 4, y = 1, rule = B2-ai3iqry4cjknz5jnq6aik78/S01c2cin3aejr4aknyz5ceqr6ac7
2obo!
2c/9:

Code: Select all

x = 4, y = 1, rule = B2ce3a4t5iy7e/S01c2ak3ejr
ob2o!
2c/10:

Code: Select all

x = 4, y = 1, rule = B2ci3ain4r5i7e/S01e3ei4iz
ob2o!
C/10:

Code: Select all

x = 4, y = 1, rule = B2ci3aei4w/S02i4et
ob2o!
3c/9:

Code: Select all

x = 4, y = 1, rule = B2acn3nry/S02i
ob2o!
I and wildmyron manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules.

Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule
- Finish a rule with ships with period >= f_e_0(n) (in progress)

toroidalet
Posts: 1031
Joined: August 7th, 2016, 1:48 pm
Location: my computer
Contact:

### Re: Speeds for 1D spaceships

4c/8:

Code: Select all

x = 7, y = 1, rule = B2ac3nr4ci5y/S0
o2bob2o!

"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

Rocknlol
Posts: 83
Joined: April 15th, 2012, 9:06 am

### Re: Speeds for 1D spaceships

There was a thread on B026/S1 a while ago where it was found out that the rule was able to simulate a 1D rule that had spaceships.

I can't seem to find it, but here are all the spaceships discovered on that thread plus a few more that I found:

Code: Select all

x = 616, y = 33, rule = B026/S1
566bo3b3o3bo2bobo2bo3bo2b11o2bo2b3o4b2o4$41bobobobobo2b3o2bo2bo2bobobo 2bo2bobo2bo2bo2bo2bobobobobo2b3o3b3o2bo2b7o2bobobobo2bo3bo3bo2bo2bo4bo 3bo3b5o2bobo2bo2bobo2b3o3bo3bo2bobobo2bo2bo2bo2bobobo2bo3b3o3bo3b3o2bo bo2b3o3b5o2bo2b11o3bo3bo3b7o2bobo2bo3b3o2bo2bo3bo3b5o2bo2bo2bobo2bo3bo 2bo2b7o3bo3bo2bo2bo3bo2bo2bo2bo2b3o3b3o3b7o3b5o3b3o2bo2bo2bo2bo3bo3b2o 3bo3b5o3b3o2bobobo2bo3bo3bo2bobobo2b3o3bo2bo2bo3b6o3bo2bo2bo4b7o3bo2bo bo2b5o3b3o2bo2bo3bo2bobo2b9o2bo2bo2bobo2b3o2bobobo2b3o2bobo2b5o3bo3bo 3b2o4$598bo3bo2bobo2b3o2bo4$55bobobo2bo3b5o2bo2bo3bo4b3o2bobo2b7o2bobo 2bo2bobo2bo3bo2bobobo2bo3bo3bo3b3o3bo3b3o2bobo2b3o2bobobo2bo3bo3bo3b3o 2bo2bo3bo3b5o2bo2bo2bo2bo2bobo2bo2bo2b5o2bo2b9o3b3o2bobo2bo2bo2bo2bobo bobobobobobo2bo2bo2b13o2bobobobobobo2bo2bo2b7o2bobo2bo3bo3b3o3b3o3bo2b obo2b5o2bo2bo2bobo2b3o2bobobobo2b3o3bo3b7o2bo2bo2bo2bo2bo2b11o3bo2bo2b 7o2bo2bo2bo2bo3b3o3b5o2bo2b3o2bobo2b5o2bo2bo3b3o3bo2bobo2b3o2bobobo2b 3o2bo2bo2bo2bo3bo2bobo2bo3bo2bobobobo2bo3b7o2bo2bo3bo2bo2bo4$obo2b5o2b
o2b3o2bo2b9o3b3o2bo2bo2bobo2b3o3b3o4b3o3bo2bobo2b3o2bo2b3o3bo3bo2bobob
obobobobobobobo2bo4bo2bo2b3o3b5o3b5o2bobo2b6o2bo2b2o3bo2bobo2bo3bo3b3o
2bobo2bo3b15o3bo2bobobo2b3o3b5o2bo2b3o2bobobobobobo2b3o2bo2bo2bobo2bo
3bo2bo2bo2bobo2b3o2bobo2bo3bo3b6o3bo3bo3bo2b5o2bobo2bo3bo2b7o2bo2bo3b
5o2bo2bo2bo2b7o2bobo2bo2bobo2bo2bobo2bo3b3o3bo2bobobobo2b3o2bobobobobo
2bo2bo2b3o2bo2bo2b3o3bo2bobo2b7o2bo2bo2bobobo2b3o2bo2b3o2bo2bo3b2o3bo
3b3o2bo2bo2bo2b5o3b2o3bo3b7o3b3o3bo2bobobo2bo2bo2b5o3bo2bo2bo4$181bo3b o3bo2bobobo2bo3bo3bo2bo2bo2bo2bo3b5o2bo2b2o3bo3b3o2bobo2bo2bo2b5o3bo2b 3o2bobo2bo3bo2bo2bo2bo2b2o2bobo2b9o3b3o3b7o3b5o2bo2b3o2bobobo2bo3bo2bo bo2b3o3bo2bo2bo2bo2b5o3bo3bo3b5o3bo3b3o2bo2bo2bo2bo3b3o3b3o2bobobo2bo 2bo2bo2bobo2b5o3b5o2bobobobobo2bo2bobo2b3o3b3o3bo2bo2bo3bo2bo2b3o3b3o 2bo2b5o2bo2b5o2bo2bo2bo2b3o3bo3b7o3b5o3bo3b5o2bo2bo2bobo2b2o4$544bobo
2b3o3bo2bo2bo2bo2bo2bobobo2b5o3b3o2bobobobobo2bo3bo3b2o4bo4$555bo2b3o 3b3o2bo2b5o2bobo2bo3bo3bo3b2o3bo3bo3b2o4bo4$579b2o2bobo2bo3b5o3bo3bo3b
o3bo2bo!

From top to bottom: 2c/8, 4c/18, 2c/10, 4c/22, 2c/12, 2c/14, 2c/16, 2c/18, and 2c/24.

It takes two steps for B026/S1 to simulate one step from the 1D rule, however, so all of the corresponding ships in the 1D rule are twice as fast.

AforAmpere
Posts: 1050
Joined: July 1st, 2016, 3:58 pm

### Re: Speeds for 1D spaceships

How were these searched for with gfind? I tried searching B026/S1 and it said that
gfind wrote:"With B0 or B1, no such patterns exist."

I and wildmyron manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules.

Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule
- Finish a rule with ships with period >= f_e_0(n) (in progress)

muzik
Posts: 3519
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Speeds for 1D spaceships

Rocknlol wrote:There was a thread on B026/S1 a while ago where it was found out that the rule was able to simulate a 1D rule that had spaceships.

I can't seem to find it, but here are all the spaceships discovered on that thread plus a few more that I found:

Code: Select all

lots of ships.

From top to bottom: 2c/8, 4c/18, 2c/10, 4c/22, 2c/12, 2c/14, 2c/16, 2c/18, and 2c/24.

It takes two steps for B026/S1 to simulate one step from the 1D rule, however, so all of the corresponding ships in the 1D rule are twice as fast.
currently searching this on 1x256.
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

A for awesome
Posts: 1933
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1
Contact:

### Re: Speeds for 1D spaceships

2c/6:

Code: Select all

x = 4, y = 1, rule = B2ac3cy4krtz6n7/S02ein3-cq4-qtwy5-cjqr6-ac7e
ob2o!

x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce

Rhombic
Posts: 1057
Joined: June 1st, 2013, 5:41 pm

### Re: Speeds for 1D spaceships

c/39d found in about 4 seconds with the new script by using 3-gen rule constraints with B2en3a/S01c2n3a6n

Code: Select all

x = 6, y = 6, rule = B2ekn3aiknr4ijtwy5eikry6k/S01c2kn3a4jw5er6an8
5bo2$3bo$2bo$bo$o!


Code: Select all

x = 9, y = 1, rule = B2cek3-ajn4cjntyz5acijy6aik7/S01e2c4ek5ac6aik7e
2obo2bobo!

SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI
what is “sesame oil”?

muzik
Posts: 3519
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Speeds for 1D spaceships

Turns out that B026/S1 actually has another (natural) xp10:

Code: Select all

x = 247, y = 1, rule = B026/S1
3ob2obobo2b4o2b3o4bo2b2o2b2ob2obo2bob4o5b2o2b4o2bob2o3bo3b2o3b2o2b2obo
bobobob2o3bobobo4b3ob4obo2bob2o2bo2b5o3b2obo3bo2bob3o2bobobobo3b2o3bob
2o2b4obo2bobo3b2o3bobob2ob8o2b2ob9obo2b3o2b3obobobob6o!

EDIT: actually this is infinitely extensible:

Code: Select all

x = 69, y = 15, rule = B026/S1
3o2bo2bo3bo2bo2bo3bo3bo3b3o3bo2bo2b5o2bobo2b5o3b7o7$26bo3b3o3bo2bo2b5o 2bobo2b5o3b7o7$49bobo2b5o3b7o!

Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

Rhombic
Posts: 1057
Joined: June 1st, 2013, 5:41 pm

### Re: Speeds for 1D spaceships

3c/55

Code: Select all

x = 8, y = 8, rule = B2en3-aer4cqtw5ace6-a7e/S02ce3ary4ijz5ejnq7e8
o$bo$2bo$3bo$4bo2$6bo$7bo!

3c/13

Code: Select all

x = 5, y = 1, rule = B2ei3aiq4aeir5q6ai/S12-a3ej4w
3obo!

5c/17

Code: Select all

x = 5, y = 1, rule = B2ei3-enry4anqr5knr6-ck7c8/S12-an4y5inr
3obo!

4c/21

Code: Select all

x = 5, y = 1, rule = B2ei3aij4aet6ek7c/S12-an3k4k5-cky6ikn7e
3obo!

6c/21

Code: Select all

x = 5, y = 1, rule = B2ei3acij4a5q/S12-an3eky4kqr5ain6en78
3obo!

4c/16

Code: Select all

x = 5, y = 1, rule = B2ei3aij4a5kq6e/S12-an3c4cr5ainq
3obo!

2c/20

Code: Select all

x = 5, y = 1, rule = B2ein3aij4ar5q6n/S12-an3ck4jqyz5aijnr6en78
3obo!

4c/36

Code: Select all

x = 5, y = 1, rule = B2ei3acijy4ae5anq6a/S12-an3j4cjqw5ijknr6ek7e
3obo!

c/29

Code: Select all

x = 5, y = 1, rule = B2ein3aijk4akt5nqr6c/S12-an3c4c5ijnr6n8
3obo!

2c/26

Code: Select all

x = 5, y = 1, rule = B2ein3aijky4aez5ckq6kn/S12-an4z5ijnr6ek7c
3obo!

5c/25

Code: Select all

x = 5, y = 1, rule = B2ein3-enqr4akt5cq6n8/S12-an3e4c5-ceky6eik7c8
3obo!

SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI
what is “sesame oil”?

Saka
Posts: 3138
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

### Re: Speeds for 1D spaceships

1 configuration
c/6

Code: Select all

x = 6, y = 1, rule = B2-an3-ciny4aceqryz5aeinr6akn7c8/S02-en3acjk4eknrtwy5ein6-k
o2bobo!


Code: Select all

x = 6, y = 1, rule = B2cin3aijry4jqrt5-aknq6cin7e/S02aek3-acek4aew5-iknq6cn7e8
obo2bo!

c/10

Code: Select all

x = 6, y = 1, rule = B2-ae3aiqry4cknqrwz5einy6an7/S02ac3ejnqy4-ciqw5acey6a7e
obo2bo!

c/7

Code: Select all

x = 6, y = 1, rule = B2-ae3aiq4ceijkry5acijn6en78/S02k3ny4eik5aeq6n
o2bobo!

Airy Clave White It Nay

Code: Select all

x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!  (Check gen 2) Rhombic Posts: 1057 Joined: June 1st, 2013, 5:41 pm ### Re: Speeds for 1D spaceships c/112 found by using progRulesrc Code: Select all x = 8, y = 8, rule = B2en3aceiy4acir5eijk6ak7c/S2-ai3-ceky4z5ejnq6n78 o$bo$2bo$3bo2$5bo$6bo$7bo!  SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI what is “sesame oil”? Saka Posts: 3138 Joined: June 19th, 2015, 8:50 pm Location: In the kingdom of Sultan Hamengkubuwono X ### Re: Speeds for 1D spaceships Back on this, c/21o Code: Select all x = 9, y = 1, rule = B2cen3eiy4kqwz5ekr6ck7c8/S12c3-ijkr4iqrtz5-ary6cek7c obob2ob2o!  Airy Clave White It Nay Code: Select all x = 17, y = 10, rule = B3/S23 b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!

(Check gen 2)

Saka
Posts: 3138
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

### Re: Speeds for 1D spaceships

4c/18o

Code: Select all

x = 7, y = 1, rule = B2-a3inqy4ekrwy5an6aen8/S02-i3ckq4cw5-cry6aen8
ob2o2bo!

3c/9o

Code: Select all

x = 6, y = 1, rule = B2cei3acikr4aijqty5aekry6-ek7/S1e2cin3aejq4ik5cjnry7c8
2ob3o!

6c/67o

Code: Select all

x = 8, y = 1, rule = B2-a3-anqy4ceiqrz5aiknq6acn7/S03i8
obobob2o!

Airy Clave White It Nay

Code: Select all

x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!  (Check gen 2) Rhombic Posts: 1057 Joined: June 1st, 2013, 5:41 pm ### Re: Speeds for 1D spaceships Trying to begin a search for progRulesrc, I found this entirely by accident and by hand: Code: Select all x = 5, y = 5, rule = B2en3aij6n/S1c2en3n4a5a o$bo$2bo2$4bo!

Actual 1D result (c/11)

Code: Select all

x = 5, y = 5, rule = B2en3-ekqy4ejty5ajkn6ckn/S1c2cen3ckny4-enqry5-acjr6ce8
o$bo$2bo2\$4bo!

SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI
what is “sesame oil”?