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Smallest Spaceships Supporting Specific Speeds (5s) Project

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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Postby wwei23 » August 19th, 2017, 12:45 pm

I found a smaller 2c/6 with average population 3.3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333...:
x = 2, y = 3, rule = B2-a3cinq4nw/S1
bo2$2o!

Compare this with the old 2c/6 with an average population of 7:
x = 2, y = 3, rule = B2ce3ejnr4ceinwy5acn6an7e/S01e3j4cejkrty
o$bo$o!

In the new rule, this happens to the old spaceship:
x = 2, y = 3, rule = B2-a3cinq4nw/S1
o$bo$o!

It can be stabilized into a 12c/24, but suboptimal...
10c/56:
x = 7, y = 7, rule = B2-a3cinq4enw/S1e
2bo$o2b2o$2b2o$o5bo$bo2b3o$4bo$6bo!

The rule also supports the c/7 I mentioned earlier.
8c/16:
x = 13, y = 11, rule = B2-a3cinq4enw/S12
3b3o$b2o2bo$6b3o$o$bo9bo$2bo9bo$bo9bo$o$6b3o$b2o2bo$3b3o!

Spaceship, anyone? It's a 16c/32 gone wrong:
x = 3, y = 2, rule = B2-a3cinq4nw/S12
bo$obo!
Replicator!
x = 3, y = 3, rule = B3/S234y
2bo$3o$bo!
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Postby toroidalet » August 19th, 2017, 1:51 pm

wwei23 wrote:I found a smaller 2c/6 with average population
3.3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333...:

ship


This is legit, but do not spam 3s. It causes code tags to be shifted over. There is also a 3-cell 8c/16. The collection exists for a reason, and check it before posting. You don't need to post evolutions of patterns in rules.
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Postby wwei23 » August 19th, 2017, 1:52 pm

toroidalet wrote:
wwei23 wrote:I found a smaller 2c/6 with average population
3.3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333...:

ship


This is legit, but do not spam 3s. It causes code tags to be shifted over. There is also a 3-cell 8c/16. The collection exists for a reason, and check it before posting. You don't need to post evolutions of patterns in rules.

I checked the wrong file, it seems.
Replicator!
x = 3, y = 3, rule = B3/S234y
2bo$3o$bo!
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Postby toroidalet » August 19th, 2017, 6:05 pm

36c/84:
x = 70, y = 33, rule = B36n/S234y5y7e
12bo$11bobo$11bob2o$13bo$9bo3bo51b3o$8bobobo50bo4b2o$9b3o51bo5bo$63bo
5bo$62b2o4bo$13bo48b2o3bo$8bo2b2ob2o47b3o$7b4o2bo50bo$6bo$5bo3b2o48b2o
$6b4obo47b2o$10b2o$54b2o$15bobo33b3o2bo$14b2o34bo3b2o7bo$14bo47b3o$19b
2o26b2o3b2o7b2o3bo$16bo2b2o26b2o2b2o3bo4b2o4bo$2o14bo7b2o21bobo6bo5bo
5bo$2o46bo7bo5bo5bo$48bo13bo4b2o$5bo24bo33b3o$4b3o22bobo$3b2o3bo19b2ob
2o$3b2o4bo19bobo$4bo5bo19bo$4bo5bo$4bo4b2o$6b3o!

152 cells
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Postby Rhombic » August 21st, 2017, 6:04 am

c/32:
x = 3, y = 4, rule = B2ei3aijnq4nrtyz5knq6ak7e/S1c2-ei3kq4anrwy5ackry6ck
2bo$2o$bo$bo!
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Postby AforAmpere » August 21st, 2017, 4:12 pm

I have a page for the first 7 periods, that will eventually have the first ten, with all known and unknown, but theoretically possible speeds. Feel free to add in the rest from the uploaded files. I will try to add in some of it.
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)
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Postby BlinkerSpawn » August 21st, 2017, 5:07 pm

AforAmpere wrote:I have a page for the first 7 periods, that will eventually have the first ten, with all known and unknown, but theoretically possible speeds. Feel free to add in the rest from the uploaded files. I will try to add in some of it.

Looks nice so far!
Still rooting for the Niemiec-style table idea but let's get the fundamentals out of the way first. :)
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Postby muzik » August 23rd, 2017, 2:08 pm

Will LtL rules be allowed in the collection? There's some pretty exotic speeds in said rules.
2c/n spaceships project

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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Postby BlinkerSpawn » August 23rd, 2017, 4:47 pm

muzik wrote:Will LtL rules be allowed in the collection? There's some pretty exotic speeds in said rules.

If we allow LtL rules, then we have to allow faster-than-light speeds, which is just going to make the database ten times as big.
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Postby muzik » August 24th, 2017, 5:34 am

BlinkerSpawn wrote:
muzik wrote:Will LtL rules be allowed in the collection? There's some pretty exotic speeds in said rules.

If we allow LtL rules, then we have to allow faster-than-light speeds, which is just going to make the database ten times as big.

Gotta catch em all.

Although, if it does become a major enough problem, we could restrict the database to c or slower.
2c/n spaceships project

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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Postby AforAmpere » August 24th, 2017, 6:34 am

Let's not include LTL or Generations, that would be too much.
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)
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Postby wwei23 » August 24th, 2017, 9:55 am

muzik wrote:Gotta catch em all.

Can I poke you now?
Replicator!
x = 3, y = 3, rule = B3/S234y
2bo$3o$bo!
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Postby Rhombic » August 24th, 2017, 3:01 pm

Three cell knightship (p7):
x = 3, y = 5, rule = B2-ac3ijn5y/S02c
o2$2bo2$2bo!


13c/125
x = 5, y = 3, rule = B2n34cqy5acik6ace7c/S023-cjnr4n5e
o3bo$3b2o$o3bo!
Last edited by Rhombic on August 25th, 2017, 8:35 am, edited 1 time in total.
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Postby wwei23 » August 24th, 2017, 3:24 pm

I found a marginally better c/4 orthogonal, by average population, beating the previous record holder by 3/4 of a cell:
x = 3, y = 2, rule = B3aei4i/S12ac
obo$bo!

EDIT:
That's a little better:
x = 2, y = 3, rule = B3aei4i/S12ac
o$bo$o!

A 3 cell c/3 with same average population as the best known, but with smaller maximum population:
x = 2, y = 3, rule = B2ce3e4a/S2ac4t
o$bo$o!
Last edited by wwei23 on August 24th, 2017, 3:30 pm, edited 1 time in total.
Replicator!
x = 3, y = 3, rule = B3/S234y
2bo$3o$bo!
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Postby BlinkerSpawn » August 24th, 2017, 3:25 pm

Rhombic wrote:Three cell knightship (p7):
x = 3, y = 5, rule = B2-ac3ijn5y/S02c
o2$2bo2$2bo!

Is this the first three-cell knightship?
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Postby muzik » August 24th, 2017, 3:38 pm

BlinkerSpawn wrote:
Rhombic wrote:Three cell knightship (p7):
x = 3, y = 5, rule = B2-ac3ijn5y/S02c
o2$2bo2$2bo!

Is this the first three-cell knightship?

Obviously not, since there's already plenty in the collection.
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Postby Rhombic » August 24th, 2017, 3:41 pm

c/7
x = 4, y = 2, rule = B2cei3enqy4acqr5-ekr6ein7/S01c2-ek3aei4aqt5ijn6n
bo$o2bo!

c/11
x = 4, y = 2, rule = B2-ai3ajnr4ert5ajkq6k7c8/S2aek3cj4jnqtz5aky6ci7c
bo$o2bo!

c/12
x = 4, y = 2, rule = B2-an3-ikqy4ainqr5cjk6ain7e/S2ae3jr5kry6e8
bo$o2bo!
3c/12
x = 4, y = 2, rule = B2cei3ae4iqwz5cek8/S03ny4enw5i6ak7c
bo$o2bo!

c/9
x = 4, y = 2, rule = B2-an3aj4crty5ijy/S2aek3aejky4nqtwz5any6-ck8
bo$o2bo!

c/14
x = 4, y = 2, rule = B2ce3r4artyz6eik/S01c2a3aciry4ijq5acn7c
bo$o2bo!
4c/14
x = 4, y = 2, rule = B2cei3ckn4-ekr5cjqry6-ci7e8/S01c2kn3aj4jnqr5iy6ac
bo$o2bo!

2c/10
x = 4, y = 2, rule = B2-an3acej4aijqryz5-acej6in78/S2ae3j
bo$o2bo!

c/16
x = 4, y = 2, rule = B2cen3ry4a5aknr6ain8/S01c2-ek3-eky4cijw5cry6cek7c
bo$o2bo!

c/20
x = 4, y = 2, rule = B2-ai3aj4er5aeqy6n/S2aen3-cinq4acjqwy5kn6aci7c
bo$o2bo!

2c/18
x = 4, y = 2, rule = B2-an3-einr4ciknqrt5aky6aei7/S2-cn3jq4ej5qy6ck
bo$o2bo!

2c/22
x = 4, y = 2, rule = B2cek3aj4ikrz5ceiq6n7e/S2ae3jky4j5r6in
bo$o2bo!

2c/24
x = 4, y = 2, rule = B2-ai3ajr4cirt5n6k/S2ae3jkqr4ejqrwz5cjr6ikn7c
bo$o2bo!

2c/70
x = 4, y = 2, rule = B2cek3ajn4jr/S2ae3jk4-aikr5ajk6-in7c
bo$o2bo!

2c/32
x = 4, y = 2, rule = B2-ai3ajk4rty7c/S1e2ae3jkq4cjtz5-ekqr6cn
bo$o2bo!

2c/54
x = 4, y = 2, rule = B2-an3aj4ackryz5anry/S2-ci3cj4w5ci6ce7
bo$o2bo!

c/30
x = 4, y = 2, rule = B2cek3aj4nr6en7c/S2ae3ijk4a5cey6k8
bo$o2bo!

c/34
x = 4, y = 2, rule = B2-an3ajqr4eikqrwz5cij6aen78/S2aen3j4az6k
bo$o2bo!

c/26
x = 4, y = 2, rule = B2cek3ajkr4cinrz5jknqy6ik7e/S2aei3ijky4eqrz5aciq6-ck7c
bo$o2bo!

3c/26
x = 4, y = 2, rule = B2-an3-ikn4ejqrtwz5-cknq6ikn7e8/S2ae3cej4wy5enr6e
bo$o2bo!

c/42
x = 4, y = 2, rule = B2-ai3aej4enrtz5y8/S2aen3j4wz5jr
bo$o2bo!

8c/100
x = 4, y = 2, rule = B2cek3ajnq4kr5an6n7c/S2-cn3cjkq4eqy5ijq6i7
bo$o2bo!

4c/32
x = 4, y = 2, rule = B2cek3ajq4-ijnt5-cy6eik7/S2aen3jk4nr5ek6c8
bo$o2bo!

2c/38
x = 4, y = 2, rule = B2-an3-eikq4aiknqrz5eijkr6aek/S2aei3jk4atwz5jnr6n7e
bo$o2bo!

3c/24
x = 4, y = 2, rule = B2-ai3-ciq4-aeijq5jky6an7/S2ae3j4cz
bo$o2bo!

2c/18
x = 4, y = 2, rule = B2cek3acij4ckr5cr6-ak7/S2aei3ijy4iqrtwyz5acnqy6cen7e
2bo$o2bo!

c/10d
x = 4, y = 2, rule = B2-an3-acjq4cejnqry5ajr6-kn7c/S1e2ae3ckq4jqwy5cqy6cn
2bo$o2bo!


More 3-cell knightships (2,1)c/12
x = 4, y = 2, rule = B2cek3-cinr4jnry5aejn6aik/S2ae3ijqy4nry5ijny6-ak7e8
bo$o2bo!

(2,1)c/19
x = 4, y = 2, rule = B2-ai3ajr4qrtw5qr6e7c/S2aen3eij4r5nr
bo$o2bo!

(2,1)c/22
x = 4, y = 2, rule = B2cek3aj4r/S2aei3ejk4cwy5ceqy6i7c
bo$o2bo!


3-cell camelship
(3,1)c/13
x = 4, y = 2, rule = B2cek3aj4r5i/S2aen3jkqy4c5akn6e
bo$o2bo!
Last edited by Rhombic on August 25th, 2017, 6:10 am, edited 1 time in total.
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Postby wwei23 » August 24th, 2017, 6:08 pm

The other c/2 with average population 3.5:
x = 2, y = 3, rule = B2c3ae/S1c3e
bo$o$bo!
Replicator!
x = 3, y = 3, rule = B3/S234y
2bo$3o$bo!
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Postby A for awesome » August 24th, 2017, 7:49 pm

Smaller c/18 by minimum bounding box:
x = 4, y = 1, rule = B2aci3a4ikqwy6in/S02en3cjny4eijkrw5acij7e
ob2o!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

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

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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Postby AforAmpere » August 24th, 2017, 7:56 pm

I am not really focusing on bounding box or min population, but feel free to add it to the wiki version, I have up to period 8 on there, and it would be great if someone would add period 9 and 10, using the updated files.
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)
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Postby A for awesome » August 24th, 2017, 9:59 pm

10c/15:
x = 2, y = 3, rule = B2acn3aey4aejrz5r6an7c/S1c2i3i4jt5q
bo$o$bo!

8c/12:
x = 2, y = 3, rule = B2acn3aen4ceiqtz5c6ei7/S1c2ei3cikr4cjknqwy5aiqy6ckn7e8
bo$o$bo!

6c/9:
x = 2, y = 3, rule = B2acn3aeqy4eqyz5aiknr6c7e/S1c2i3-cejq4aiknrz5eikry6ek7c
o$2o$o!

EDIT: 3-cell 6c/9:
x = 2, y = 3, rule = B2ack3ae4rw5er7e/S1c2eik3ikr4ceqty5cjkqy6-a7c8
bo$o$bo!

EDIT 2: Placed all of the ships in the correct orientation.
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

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

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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Postby A for awesome » August 25th, 2017, 5:06 pm

5c/10 diagonal:
x = 3, y = 4, rule = B2acn3cen4qt5aik6cek7e/S12a3-knqr4ntwz5knr6c7e
2bo2$b2o$o!

7c/14 diagonal:
x = 3, y = 4, rule = B2ack3en4ckntyz5cr6ek8/S1
2bo2$b2o$o!

EDIT: 6c/12, in a B1e rule:
x = 4, y = 4, rule = B1e2cek3acry4jkqr5cjny6aei7e/S12-ce3ej4wy5cir6c7
obo$o2bo2$2b2o!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

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

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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Postby muzik » August 26th, 2017, 4:15 pm

c/46 one cell reduction:
x = 9, y = 10, rule = B34568/S0458
2bobo$3bob2o$obo3bo$4b2ob2o$6b2o$6b2o$4b2ob2o$obo3bo$3bob2o$2bobo!
2c/n spaceships project

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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Postby muzik » August 27th, 2017, 1:18 pm

Here are the perfect speeds below c/144 which do not currently appear in the collection, and seem to be unknown without the use of the infinite speed non-totalistic rules:

c/58 - none
c/62 - none
c/65 - none
c/71 - none
c/72 - none
c/76 - none
c/77 - none
c/78 - none
c/82 - none
c/84 - none
c/88 - none
c/91 - none
c/93 - none
c/94 - none
c/95 - none
c/96 - none
c/97 - none
c/99 - none
c/100 - none
c/101 - none
c/102 - none
c/103 - none
c/104 - none
c/105 - none
c/106 - none
c/107 - none
c/108 - none
c/109 - none
c/110 - none
c/111 - none
c/112 - none
c/113 - none
c/114 - none
c/115 - none
c/116 - none
c/117 - none
c/118 - none
c/119 - none
c/120 - none
c/121 - none
c/122 - none
c/123 - none
c/124 - none
c/125 - none
c/126 - none
c/127 - none
c/128 - none
c/129 - none
c/130 - none
c/131 - none
c/132 - none
c/133 - none
c/134 - none
c/135 - none
c/136 - none
c/137 - none
c/138 - none
c/139 - none
c/140 - none
c/142 - none
c/143 - none
c/144 - none


and here are the perfect speeds without 3-cell examples:
c/46 - 28 cells
c/59 - 34 cells
c/63 - 36 cells
c/64 - 13 cells
c/66 - 16 cells
c/70 - 18 cells
c/86 - 22 cells
c/89 - 34 cells
c/92 - 13 cells
c/98 - 24 cells
c/141 - 34 cells
2c/n spaceships project

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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Postby Hdjensofjfnen » August 27th, 2017, 3:51 pm

c/3 diagonal?
EDIT: Nope, it's 2c/7.

x = 5, y = 5, rule = B3/S234w
bo2bo$o3bo$4bo$3bo$3o!
Last edited by Hdjensofjfnen on August 27th, 2017, 3:54 pm, edited 1 time in total.
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Pattern of the month (September 2017):
#C [[ AUTOFIT ]]
x = 7, y = 9, rule = B34tw/S23
2o$2o$4b2o$6bo$3bo2bo$6bo$4b2o$2o$2o!
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