## Speeds for 1D spaceships

For discussion of other cellular automata.

### Speeds for 1D spaceships

c/3:
x = 4, y = 1, rule = B2cek3ai4t/S02cob2o!

c/4:
x = 4, y = 1, rule = B2cei3e4a/S01e2-c3-iyob2o!

c/7:
x = 4, y = 1, rule = B2-an4a/S1e2a3aey4at5iob2o!
c/7d:
x = 4, y = 4, rule = B2-ai3ak4q/S02k3n3bo2$bo$o!

c/8:
x = 7, y = 1, rule = B2ce3ein5iy/S1e2k3eky4ek5obo!
x = 6, y = 1, rule = B2ce3y4c5ceiry6e7c8/S12c3r4eijknw5aky6e8obob2o!
2c/8(no survival conditions!):
x = 9, y = 1, rule = B2-ei3qy4iyz5r6i/Sob2o2b3o!
x = 5, y = 1, rule = B2ci3-ckn4-intyz5knqry6ci8/S03e5a7eob3o!
3c/8:
x = 6, y = 1, rule = B2ce3cry4aejn5nr6ci7e/S01c2aek3n4-aijny5kr6en82obobo!

c/9:
x = 6, y = 1, rule = B2cei3iq4aeiw5i6i/S01e2c3aey4ew5aijn6cik83o2bo!
2c/9:
x = 4, y = 1, rule = B2ce3a4t5iy7e/S01c2ak3ejrob2o!
3c/9:
x = 4, y = 1, rule = B2acn3nry/S02iob2o!

c/10:
x = 4, y = 1, rule = B2ci3aei4w/S02i4etob2o!

2c/11:
x = 8, y = 1, rule = B2cik3-ik4ckqrt5ek6-k7c8/S01c2e3-acky4aekw5ckr6ikn7cob2obobo!

2c/29!:
x = 6, y = 1, rule = B2-ai3ceinr4aejntwz5ik6c7e/S02ek3ckobo2bo!

3c/30d:
x = 4, y = 4, rule = B2-ai3ceijy4aqw5cjk6n/S03j5q3bo2$bo$o!

5c/63(!):
x = 7, y = 1, rule = B2ein3-cy4ajknq5-enq6ci/S01c2i3k4y5er6n3obobo!
Last edited by Rhombic on August 21st, 2017, 4:53 am, edited 3 times in total.

Rhombic

Posts: 857
Joined: June 1st, 2013, 5:41 pm

### Re: Speeds for 1D spaceships

You might want to look on my posts in MDIOCA (Misc Disc. In OCA)
Smaller c/8
x = 6, y = 1, rule = B2ce3y4c5ceiry6e7c8/S12c3r4eijknw5aky6e8obob2o!

3c/8
x = 6, y = 1, rule = B2ce3cry4aejn5nr6ci7e/S01c2aek3n4-aijny5kr6en82obobo!

2c/11
x = 8, y = 1, rule = B2cik3-ik4ckqrt5ek6-k7c8/S01c2e3-acky4aekw5ckr6ikn7cob2obobo!
x = 17, y = 10, rule = B3/S23b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5bo2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo! (Check gen 2) Saka Posts: 2316 Joined: June 19th, 2015, 8:50 pm Location: In the kingdom of Sultan Hamengkubuwono X ### 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. Rhombic Posts: 857 Joined: June 1st, 2013, 5:41 pm ### 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? Everyone, please stop posting B/S about CA x = 17, y = 10, rule = B3/S23b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5bo2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!

(Check gen 2)

Saka

Posts: 2316
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

### Re: Speeds for 1D spaceships

c/7
x = 6, y = 1, rule = B2cik3aj4-ajqrz5aknq6e78/S1e2ek4atw5ai2ob3o!

2c/8
x = 5, y = 1, rule = B2ci3-ckn4-intyz5knqry6ci8/S03e5a7eob3o!

2c/29!
x = 6, y = 1, rule = B2-ai3ceinr4-ciky5-jqy6ac7e8/S02ek3ckn5y7cobo2bo!

c/9
x = 6, y = 1, rule = B2-ak3-aek4aceikw5ceijr6ei7e/S012ce3aeqy4eintwy5-eqy6-an83o2bo!
x = 17, y = 10, rule = B3/S23b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5bo2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo! (Check gen 2) Saka Posts: 2316 Joined: June 19th, 2015, 8:50 pm Location: In the kingdom of Sultan Hamengkubuwono X ### Re: Speeds for 1D spaceships c/3 and c/4: x = 6, y = 8, rule = B2cek3ai4t/S02cob2o7$obob2o!

c/6:
x = 4, y = 1, rule = B2ci3aijny5y/S01c2c3-eyob2o!

c/5:
x = 4, y = 1, rule = B2ci3aijn5y/S02-ak3-eyob2o!

Smaller c/4:
x = 4, y = 1, rule = B2cei3e4a/S01e2-c3-iyob2o!
I have the best signature ever.

toroidalet

Posts: 827
Joined: August 7th, 2016, 1:48 pm
Location: Somewhere on a planet called "Earth"

### Re: Speeds for 1D spaceships

C/7:
x = 4, y = 1, rule = B2-an3kr4acr5acj6aik7e8/S1e2-ce3aey4akntz5airy6ak7e8ob2o!

C/8:
x = 4, y = 1, rule = B2-a3-acjn4-cjqwz5eknqy6c78/S1e3cnr4aikz5cqy6ackob2o!

C/9:
x = 4, y = 1, rule = B2ci3anr4-jqwyz5cnr78/S01e3eqry4acejqw5-airy6ekn2obo!

2c/8:
x = 4, y = 1, rule = B2-ai3iqry4cjknz5jnq6aik78/S01c2cin3aejr4aknyz5ceqr6ac72obo!

2c/9:
x = 4, y = 1, rule = B2ce3a4t5iy7e/S01c2ak3ejrob2o!

2c/10:
x = 4, y = 1, rule = B2ci3ain4r5i7e/S01e3ei4izob2o!

C/10:
x = 4, y = 1, rule = B2ci3aei4w/S02i4etob2o!

3c/9:
x = 4, y = 1, rule = B2acn3nry/S02iob2o!
Things to work on:
- An Isotropic version of All_Speeds
- Find more ships in B2ek3-ajny4ajqr5a/S02ack3ackny4aq5y
- Find a (3,1)c/5 ship in a Non-totalistic rule (someone please search the rules)
AforAmpere

Posts: 343
Joined: July 1st, 2016, 3:58 pm

### Re: Speeds for 1D spaceships

4c/8:
x = 7, y = 1, rule = B2ac3nr4ci5y/S0o2bob2o!
I have the best signature ever.

toroidalet

Posts: 827
Joined: August 7th, 2016, 1:48 pm
Location: Somewhere on a planet called "Earth"

### 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:
x = 616, y = 33, rule = B026/S1566bo3b3o3bo2bobo2bo3bo2b11o2bo2b3o4b2o4$41bobobobobo2b3o2bo2bo2bobobo2bo2bobo2bo2bo2bo2bobobobobo2b3o3b3o2bo2b7o2bobobobo2bo3bo3bo2bo2bo4bo3bo3b5o2bobo2bo2bobo2b3o3bo3bo2bobobo2bo2bo2bo2bobobo2bo3b3o3bo3b3o2bobo2b3o3b5o2bo2b11o3bo3bo3b7o2bobo2bo3b3o2bo2bo3bo3b5o2bo2bo2bobo2bo3bo2bo2b7o3bo3bo2bo2bo3bo2bo2bo2bo2b3o3b3o3b7o3b5o3b3o2bo2bo2bo2bo3bo3b2o3bo3b5o3b3o2bobobo2bo3bo3bo2bobobo2b3o3bo2bo2bo3b6o3bo2bo2bo4b7o3bo2bobo2b5o3b3o2bo2bo3bo2bobo2b9o2bo2bo2bobo2b3o2bobobo2b3o2bobo2b5o3bo3bo3b2o4$598bo3bo2bobo2b3o2bo4$55bobobo2bo3b5o2bo2bo3bo4b3o2bobo2b7o2bobo2bo2bobo2bo3bo2bobobo2bo3bo3bo3b3o3bo3b3o2bobo2b3o2bobobo2bo3bo3bo3b3o2bo2bo3bo3b5o2bo2bo2bo2bo2bobo2bo2bo2b5o2bo2b9o3b3o2bobo2bo2bo2bo2bobobobobobobobo2bo2bo2b13o2bobobobobobo2bo2bo2b7o2bobo2bo3bo3b3o3b3o3bo2bobo2b5o2bo2bo2bobo2b3o2bobobobo2b3o3bo3b7o2bo2bo2bo2bo2bo2b11o3bo2bo2b7o2bo2bo2bo2bo3b3o3b5o2bo2b3o2bobo2b5o2bo2bo3b3o3bo2bobo2b3o2bobobo2b3o2bo2bo2bo2bo3bo2bobo2bo3bo2bobobobo2bo3b7o2bo2bo3bo2bo2bo4$obo2b5o2bo2b3o2bo2b9o3b3o2bo2bo2bobo2b3o3b3o4b3o3bo2bobo2b3o2bo2b3o3bo3bo2bobobobobobobobobobo2bo4bo2bo2b3o3b5o3b5o2bobo2b6o2bo2b2o3bo2bobo2bo3bo3b3o2bobo2bo3b15o3bo2bobobo2b3o3b5o2bo2b3o2bobobobobobo2b3o2bo2bo2bobo2bo3bo2bo2bo2bobo2b3o2bobo2bo3bo3b6o3bo3bo3bo2b5o2bobo2bo3bo2b7o2bo2bo3b5o2bo2bo2bo2b7o2bobo2bo2bobo2bo2bobo2bo3b3o3bo2bobobobo2b3o2bobobobobo2bo2bo2b3o2bo2bo2b3o3bo2bobo2b7o2bo2bo2bobobo2b3o2bo2b3o2bo2bo3b2o3bo3b3o2bo2bo2bo2b5o3b2o3bo3b7o3b3o3bo2bobobo2bo2bo2b5o3bo2bo2bo4$181bo3bo3bo2bobobo2bo3bo3bo2bo2bo2bo2bo3b5o2bo2b2o3bo3b3o2bobo2bo2bo2b5o3bo2b3o2bobo2bo3bo2bo2bo2bo2b2o2bobo2b9o3b3o3b7o3b5o2bo2b3o2bobobo2bo3bo2bobo2b3o3bo2bo2bo2bo2b5o3bo3bo3b5o3bo3b3o2bo2bo2bo2bo3b3o3b3o2bobobo2bo2bo2bo2bobo2b5o3b5o2bobobobobo2bo2bobo2b3o3b3o3bo2bo2bo3bo2bo2b3o3b3o2bo2b5o2bo2b5o2bo2bo2bo2b3o3bo3b7o3b5o3bo3b5o2bo2bo2bobo2b2o4$544bobo2b3o3bo2bo2bo2bo2bo2bobobo2b5o3b3o2bobobobobo2bo3bo3b2o4bo4$555bo2b3o3b3o2bo2b5o2bobo2bo3bo3bo3b2o3bo3bo3b2o4bo4$579b2o2bobo2bo3b5o3bo3bo3bo3bo2bo!

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.
Rocknlol

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

### 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."

Things to work on:
- An Isotropic version of All_Speeds
- Find more ships in B2ek3-ajny4ajqr5a/S02ack3ackny4aq5y
- Find a (3,1)c/5 ship in a Non-totalistic rule (someone please search the rules)
AforAmpere

Posts: 343
Joined: July 1st, 2016, 3:58 pm

### 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:
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.
2c/n spaceships project

Current priorities: see here
muzik

Posts: 2651
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Speeds for 1D spaceships

2c/6:
x = 4, y = 1, rule = B2ac3cy4krtz6n7/S02ein3-cq4-qtwy5-cjqr6-ac7eob2o!
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

A for awesome

Posts: 1506
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1

### 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
x = 6, y = 6, rule = B2ekn3aiknr4ijtwy5eikry6k/S01c2kn3a4jw5er6an85bo2$3bo$2bo$bo$o!

x = 9, y = 1, rule = B2cek3-ajn4cjntyz5acijy6aik7/S01e2c4ek5ac6aik7e2obo2bobo!

Rhombic

Posts: 857
Joined: June 1st, 2013, 5:41 pm

### Re: Speeds for 1D spaceships

Turns out that B026/S1 actually has another (natural) xp10:
x = 247, y = 1, rule = B026/S13ob2obobo2b4o2b3o4bo2b2o2b2ob2obo2bob4o5b2o2b4o2bob2o3bo3b2o3b2o2b2obobobobob2o3bobobo4b3ob4obo2bob2o2bo2b5o3b2obo3bo2bob3o2bobobobo3b2o3bob2o2b4obo2bobo3b2o3bobob2ob8o2b2ob9obo2b3o2b3obobobob6o!

EDIT: actually this is infinitely extensible:
x = 69, y = 15, rule = B026/S13o2bo2bo3bo2bo2bo3bo3bo3b3o3bo2bo2b5o2bobo2b5o3b7o7$26bo3b3o3bo2bo2b5o2bobo2b5o3b7o7$49bobo2b5o3b7o!
2c/n spaceships project

Current priorities: see here
muzik

Posts: 2651
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Speeds for 1D spaceships

3c/55
x = 8, y = 8, rule = B2en3-aer4cqtw5ace6-a7e/S02ce3ary4ijz5ejnq7e8o$bo$2bo$3bo$4bo2$6bo$7bo!

3c/13
x = 5, y = 1, rule = B2ei3aiq4aeir5q6ai/S12-a3ej4w3obo!

5c/17
x = 5, y = 1, rule = B2ei3-enry4anqr5knr6-ck7c8/S12-an4y5inr3obo!

4c/21
x = 5, y = 1, rule = B2ei3aij4aet6ek7c/S12-an3k4k5-cky6ikn7e3obo!

6c/21
x = 5, y = 1, rule = B2ei3acij4a5q/S12-an3eky4kqr5ain6en783obo!

4c/16
x = 5, y = 1, rule = B2ei3aij4a5kq6e/S12-an3c4cr5ainq3obo!

2c/20
x = 5, y = 1, rule = B2ein3aij4ar5q6n/S12-an3ck4jqyz5aijnr6en783obo!

4c/36
x = 5, y = 1, rule = B2ei3acijy4ae5anq6a/S12-an3j4cjqw5ijknr6ek7e3obo!

c/29
x = 5, y = 1, rule = B2ein3aijk4akt5nqr6c/S12-an3c4c5ijnr6n83obo!

2c/26
x = 5, y = 1, rule = B2ein3aijky4aez5ckq6kn/S12-an4z5ijnr6ek7c3obo!

5c/25
x = 5, y = 1, rule = B2ein3-enqr4akt5cq6n8/S12-an3e4c5-ceky6eik7c83obo!

Rhombic

Posts: 857
Joined: June 1st, 2013, 5:41 pm

### Re: Speeds for 1D spaceships

1 configuration
c/6
x = 6, y = 1, rule = B2-an3-ciny4aceqryz5aeinr6akn7c8/S02-en3acjk4eknrtwy5ein6-ko2bobo!

x = 6, y = 1, rule = B2cin3aijry4jqrt5-aknq6cin7e/S02aek3-acek4aew5-iknq6cn7e8obo2bo!

c/10
x = 6, y = 1, rule = B2-ae3aiqry4cknqrwz5einy6an7/S02ac3ejnqy4-ciqw5acey6a7eobo2bo!

c/7
x = 6, y = 1, rule = B2-ae3aiq4ceijkry5acijn6en78/S02k3ny4eik5aeq6no2bobo!
x = 17, y = 10, rule = B3/S23b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5bo2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo! (Check gen 2) Saka Posts: 2316 Joined: June 19th, 2015, 8:50 pm Location: In the kingdom of Sultan Hamengkubuwono X ### Re: Speeds for 1D spaceships c/112 found by using progRulesrc x = 8, y = 8, rule = B2en3aceiy4acir5eijk6ak7c/S2-ai3-ceky4z5ejnq6n78o$bo$2bo$3bo2$5bo$6bo$7bo! Rhombic Posts: 857 Joined: June 1st, 2013, 5:41 pm ### Re: Speeds for 1D spaceships Back on this, c/21o x = 9, y = 1, rule = B2cen3eiy4kqwz5ekr6ck7c8/S12c3-ijkr4iqrtz5-ary6cek7cobob2ob2o! Everyone, please stop posting B/S about CA x = 17, y = 10, rule = B3/S23b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5bo2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!

(Check gen 2)

Saka

Posts: 2316
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

### Re: Speeds for 1D spaceships

4c/18o
x = 7, y = 1, rule = B2-a3inqy4ekrwy5an6aen8/S02-i3ckq4cw5-cry6aen8ob2o2bo!

3c/9o
x = 6, y = 1, rule = B2cei3acikr4aijqty5aekry6-ek7/S1e2cin3aejq4ik5cjnry7c82ob3o!

6c/67o
x = 8, y = 1, rule = B2-a3-anqy4ceiqrz5aiknq6acn7/S03i8obobob2o!
x = 17, y = 10, rule = B3/S23b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5bo2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo! (Check gen 2) Saka Posts: 2316 Joined: June 19th, 2015, 8:50 pm Location: In the kingdom of Sultan Hamengkubuwono X ### Re: Speeds for 1D spaceships Trying to begin a search for progRulesrc, I found this entirely by accident and by hand: x = 5, y = 5, rule = B2en3aij6n/S1c2en3n4a5ao$bo$2bo2$4bo!

Actual 1D result (c/11)
x = 5, y = 5, rule = B2en3-ekqy4ejty5ajkn6ckn/S1c2cen3ckny4-enqry5-acjr6ce8o$bo$2bo2\$4bo!

Rhombic

Posts: 857
Joined: June 1st, 2013, 5:41 pm