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Speeds for 1D spaceships

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Speeds for 1D spaceships

Postby Rhombic » August 20th, 2017, 7:53 am

c/3:
x = 4, y = 1, rule = B2cek3ai4t/S02c
ob2o!

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

c/7:
x = 4, y = 1, rule = B2-an4a/S1e2a3aey4at5i
ob2o!
c/7d:
x = 4, y = 4, rule = B2-ai3ak4q/S02k3n
3bo2$bo$o!

c/8:
x = 7, y = 1, rule = B2ce3ein5iy/S1e2k3eky4ek
5obo!
x = 6, y = 1, rule = B2ce3y4c5ceiry6e7c8/S12c3r4eijknw5aky6e8
obob2o!
2c/8(no survival conditions!):
x = 9, y = 1, rule = B2-ei3qy4iyz5r6i/S
ob2o2b3o!
x = 5, y = 1, rule = B2ci3-ckn4-intyz5knqry6ci8/S03e5a7e
ob3o!
3c/8:
x = 6, y = 1, rule = B2ce3cry4aejn5nr6ci7e/S01c2aek3n4-aijny5kr6en8
2obobo!

c/9:
x = 6, y = 1, rule = B2cei3iq4aeiw5i6i/S01e2c3aey4ew5aijn6cik8
3o2bo!
2c/9:
x = 4, y = 1, rule = B2ce3a4t5iy7e/S01c2ak3ejr
ob2o!
3c/9:
x = 4, y = 1, rule = B2acn3nry/S02i
ob2o!

c/10:
x = 4, y = 1, rule = B2ci3aei4w/S02i4et
ob2o!

2c/11:
x = 8, y = 1, rule = B2cik3-ik4ckqrt5ek6-k7c8/S01c2e3-acky4aekw5ckr6ikn7c
ob2obobo!

2c/29!:
x = 6, y = 1, rule = B2-ai3ceinr4aejntwz5ik6c7e/S02ek3ck
obo2bo!

3c/30d:
x = 4, y = 4, rule = B2-ai3ceijy4aqw5cjk6n/S03j5q
3bo2$bo$o!

5c/63(!):
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.
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Re: Speeds for 1D spaceships

Postby Saka » August 20th, 2017, 7:58 am

You might want to look on my posts in MDIOCA (Misc Disc. In OCA)
Smaller c/8
x = 6, y = 1, rule = B2ce3y4c5ceiry6e7c8/S12c3r4eijknw5aky6e8
obob2o!

3c/8
x = 6, y = 1, rule = B2ce3cry4aejn5nr6ci7e/S01c2aek3n4-aijny5kr6en8
2obobo!

2c/11
x = 8, y = 1, rule = B2cik3-ik4ckqrt5ek6-k7c8/S01c2e3-acky4aekw5ckr6ikn7c
ob2obobo!
Proud owner and founder of Sakagolue
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: Speeds for 1D spaceships

Postby Rhombic » August 20th, 2017, 8:22 am

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.
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Re: Speeds for 1D spaceships

Postby Saka » August 20th, 2017, 8:25 am

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?
Proud owner and founder of Sakagolue
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: Speeds for 1D spaceships

Postby Saka » August 20th, 2017, 9:45 am

c/7
x = 6, y = 1, rule = B2cik3aj4-ajqrz5aknq6e78/S1e2ek4atw5ai
2ob3o!

2c/8
x = 5, y = 1, rule = B2ci3-ckn4-intyz5knqry6ci8/S03e5a7e
ob3o!

2c/29!
x = 6, y = 1, rule = B2-ai3ceinr4-ciky5-jqy6ac7e8/S02ek3ckn5y7c
obo2bo!

c/9
x = 6, y = 1, rule = B2-ak3-aek4aceikw5ceijr6ei7e/S012ce3aeqy4eintwy5-eqy6-an8
3o2bo!
Proud owner and founder of Sakagolue
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: Speeds for 1D spaceships

Postby toroidalet » August 20th, 2017, 10:26 am

c/3 and c/4:
x = 6, y = 8, rule = B2cek3ai4t/S02c
ob2o7$obob2o!

c/6:
x = 4, y = 1, rule = B2ci3aijny5y/S01c2c3-ey
ob2o!

c/5:
x = 4, y = 1, rule = B2ci3aijn5y/S02-ak3-ey
ob2o!

Smaller c/4:
x = 4, y = 1, rule = B2cei3e4a/S01e2-c3-iy
ob2o!
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Re: Speeds for 1D spaceships

Postby AforAmpere » August 20th, 2017, 11:02 am

C/7:
x = 4, y = 1, rule = B2-an3kr4acr5acj6aik7e8/S1e2-ce3aey4akntz5airy6ak7e8
ob2o!


C/8:
x = 4, y = 1, rule = B2-a3-acjn4-cjqwz5eknqy6c78/S1e3cnr4aikz5cqy6ack
ob2o!


C/9:
x = 4, y = 1, rule = B2ci3anr4-jqwyz5cnr78/S01e3eqry4acejqw5-airy6ekn
2obo!


2c/8:
x = 4, y = 1, rule = B2-ai3iqry4cjknz5jnq6aik78/S01c2cin3aejr4aknyz5ceqr6ac7
2obo!


2c/9:
x = 4, y = 1, rule = B2ce3a4t5iy7e/S01c2ak3ejr
ob2o!


2c/10:
x = 4, y = 1, rule = B2ci3ain4r5i7e/S01e3ei4iz
ob2o!


C/10:
x = 4, y = 1, rule = B2ci3aei4w/S02i4et
ob2o!


3c/9:
x = 4, y = 1, rule = B2acn3nry/S02i
ob2o!
Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule (someone please search the rules)
- Find a C/10 in JustFriends
- Find a C/10 in Day and Night
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Re: Speeds for 1D spaceships

Postby toroidalet » August 20th, 2017, 12:54 pm

4c/8:
x = 7, y = 1, rule = B2ac3nr4ci5y/S0
o2bob2o!
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Re: Speeds for 1D spaceships

Postby Rocknlol » August 20th, 2017, 1:07 pm

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/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.
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Re: Speeds for 1D spaceships

Postby AforAmpere » August 20th, 2017, 2:45 pm

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."

The thread
Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule (someone please search the rules)
- Find a C/10 in JustFriends
- Find a C/10 in Day and Night
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Re: Speeds for 1D spaceships

Postby muzik » August 20th, 2017, 3:05 pm

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.
waiting for apgsearch to support one-dimensional rules
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Re: Speeds for 1D spaceships

Postby A for awesome » August 20th, 2017, 5:03 pm

2c/6:
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

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Re: Speeds for 1D spaceships

Postby Rhombic » August 24th, 2017, 10:54 am

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/S01c2kn3a4jw5er6an8
5bo2$3bo$2bo$bo$o!

x = 9, y = 1, rule = B2cek3-ajn4cjntyz5acijy6aik7/S01e2c4ek5ac6aik7e
2obo2bobo!
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Re: Speeds for 1D spaceships

Postby muzik » August 25th, 2017, 9:40 am

Turns out that B026/S1 actually has another (natural) xp10:
x = 247, y = 1, rule = B026/S1
3ob2obobo2b4o2b3o4bo2b2o2b2ob2obo2bob4o5b2o2b4o2bob2o3bo3b2o3b2o2b2obo
bobobob2o3bobobo4b3ob4obo2bob2o2bo2b5o3b2obo3bo2bob3o2bobobobo3b2o3bob
2o2b4obo2bobo3b2o3bobob2ob8o2b2ob9obo2b3o2b3obobobob6o!


EDIT: actually this is infinitely extensible:
x = 69, y = 15, rule = B026/S1
3o2bo2bo3bo2bo2bo3bo3bo3b3o3bo2bo2b5o2bobo2b5o3b7o7$26bo3b3o3bo2bo2b5o
2bobo2b5o3b7o7$49bobo2b5o3b7o!
waiting for apgsearch to support one-dimensional rules
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Re: Speeds for 1D spaceships

Postby Rhombic » September 14th, 2017, 5:32 am

3c/55
x = 8, y = 8, rule = B2en3-aer4cqtw5ace6-a7e/S02ce3ary4ijz5ejnq7e8
o$bo$2bo$3bo$4bo2$6bo$7bo!

3c/13
x = 5, y = 1, rule = B2ei3aiq4aeir5q6ai/S12-a3ej4w
3obo!

5c/17
x = 5, y = 1, rule = B2ei3-enry4anqr5knr6-ck7c8/S12-an4y5inr
3obo!

4c/21
x = 5, y = 1, rule = B2ei3aij4aet6ek7c/S12-an3k4k5-cky6ikn7e
3obo!

6c/21
x = 5, y = 1, rule = B2ei3acij4a5q/S12-an3eky4kqr5ain6en78
3obo!

4c/16
x = 5, y = 1, rule = B2ei3aij4a5kq6e/S12-an3c4cr5ainq
3obo!

2c/20
x = 5, y = 1, rule = B2ein3aij4ar5q6n/S12-an3ck4jqyz5aijnr6en78
3obo!

4c/36
x = 5, y = 1, rule = B2ei3acijy4ae5anq6a/S12-an3j4cjqw5ijknr6ek7e
3obo!

c/29
x = 5, y = 1, rule = B2ein3aijk4akt5nqr6c/S12-an3c4c5ijnr6n8
3obo!

2c/26
x = 5, y = 1, rule = B2ein3aijky4aez5ckq6kn/S12-an4z5ijnr6ek7c
3obo!

5c/25
x = 5, y = 1, rule = B2ein3-enqr4akt5cq6n8/S12-an3e4c5-ceky6eik7c8
3obo!
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Re: Speeds for 1D spaceships

Postby Saka » September 16th, 2017, 1:48 am

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

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

c/10
x = 6, y = 1, rule = B2-ae3aiqry4cknqrwz5einy6an7/S02ac3ejnqy4-ciqw5acey6a7e
obo2bo!

c/7
x = 6, y = 1, rule = B2-ae3aiq4ceijkry5acijn6en78/S02k3ny4eik5aeq6n
o2bobo!
Proud owner and founder of Sakagolue
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: Speeds for 1D spaceships

Postby Rhombic » September 16th, 2017, 12:02 pm

c/112 found by using progRulesrc
x = 8, y = 8, rule = B2en3aceiy4acir5eijk6ak7c/S2-ai3-ceky4z5ejnq6n78
o$bo$2bo$3bo2$5bo$6bo$7bo!
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Re: Speeds for 1D spaceships

Postby Saka » October 1st, 2017, 12:39 am

Back on this, c/21o
x = 9, y = 1, rule = B2cen3eiy4kqwz5ekr6ck7c8/S12c3-ijkr4iqrtz5-ary6cek7c
obob2ob2o!
Proud owner and founder of Sakagolue
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: Speeds for 1D spaceships

Postby Saka » October 6th, 2017, 10:22 pm

4c/18o
x = 7, y = 1, rule = B2-a3inqy4ekrwy5an6aen8/S02-i3ckq4cw5-cry6aen8
ob2o2bo!

3c/9o
x = 6, y = 1, rule = B2cei3acikr4aijqty5aekry6-ek7/S1e2cin3aejq4ik5cjnry7c8
2ob3o!

6c/67o
x = 8, y = 1, rule = B2-a3-anqy4ceiqrz5aiknq6acn7/S03i8
obobob2o!
Proud owner and founder of Sakagolue
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: Speeds for 1D spaceships

Postby Rhombic » October 11th, 2017, 8:30 pm

Trying to begin a search for progRulesrc, I found this entirely by accident and by hand:
x = 5, y = 5, rule = B2en3aij6n/S1c2en3n4a5a
o$bo$2bo2$4bo!

Actual 1D result (c/11)
x = 5, y = 5, rule = B2en3-ekqy4ejty5ajkn6ckn/S1c2cen3ckny4-enqry5-acjr6ce8
o$bo$2bo2$4bo!
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