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Miscellaneous Discoveries in Other Cellular Automata

For discussion of other cellular automata.

Re: Miscellaneous Discoveries in Other Cellular Automata

Postby wildmyron » October 12th, 2017, 11:37 pm

A for awesome wrote:8-cell (2,1)c/4 (EDIT: rule now reduced):
x = 7, y = 7, rule = B2-ik3cenqr4jknw/S2c3q4r
2bo$o$o4bo$bo$o5bo2$4bo!

I also had what seemed to be a promising lead on a (3,1)c/4, but it didn't prove tractable.

Nice result! Considering the rarity of 3c/4 ships, (3,1)c/4 would be pretty incredible.

Saka wrote:I've modified rulesrc to only return b-ships if they have an odd period and the results are GREAT (All oblique so far!!)

This inspired my to hook up rulesrc.py to my small ships search script and I ran a search overnight with the b-heptomino restricted to rules matching the evolution for 4 generations. All I can say is that the results reinforce my belief that there are a lot of small ships in the 2-state isotropic CA rule-space. A LOT.

Edited to include examples:
Highest period ships of each class:

ortho 12c/1010
x = 3, y = 4, rule = B2n3-cenq4cw5acy6in78/S2-i3-aek4-ajktw5cijn6cin8
b2o$2o$b2o$2bo!

diag 24c/1150
x = 5, y = 3, rule = B2in3-cenq4-acjnq5acek6i/S2aek3-aek4ceinrt5acjkr6aei7e
o$3b2o$2b2o!

(20,14)c/515
x = 3, y = 4, rule = B2k3-ceny4-aknrt5cery6ain7e/S2-i3-acky4c5-aeny6e7e
3o$2bo$2bo$bo!

End edit

In total, there were 10,560 results. Of those, there are 4634 orthogonal ships, 4543 diagonal ships and 1250 oblique ships, for a total of 10,427 unique ships. There's a chance this includes some of the ones posted above, but I think it's unlikely.

bShips.zip
Lots of ships having one phase which is a B-heptomino
(183.22 KiB) Downloaded 2 times

I've attached the results in an archive with three files for orthogonal, diagonal and oblique ships. All files have one ship per line in my custom format and are sorted first by period, and then displacement. The ships are stored in a phase with minimum population, but they all have one phase which is a B. The format is:
min pop, min isotropic rule, x displacement, y displacement, period, rle string

and all ships are oriented according to the 5S project guidelines. If you copy one line to the clipboard you can use the following script to load it into the current layer.
# display_ship.py
# This script will take a string representing a ship with some additional metadata,
# and display it in the current layer
# It first checks the clipboard for a valid string and then requests input if necessary
# There is minimal error checking
# ship format: ['pop', 'rule', 'dx', 'dy', 'period', 'rle']

import golly as g

def parseshipstr(shipstr):
    if not shipstr[0] in '123456789':
        return
    ship = shipstr.split(', ')
    if not len(ship) == 6:
        return
    return ship

shipstr = g.getclipstr()
ship = parseshipstr(shipstr)
if not ship:
    shipstr = g.getstring('Enter ship string:')
ship = parseshipstr(shipstr)
if not ship:
    g.exit('Invalid ship string: ' + shipstr)
   
rulestr = ship[1].strip()
shiprle = ship[5].strip()

g.new('')
g.setrule(rulestr)
g.putcells(g.parse(shiprle))

g.fit()


I know I'm terrible at keeping these promises, but keep an eye on the rulesrc.py script thread for an update from me. My biggest problem with this is that I just don't know what to do with the flood of results that the script outputs. Did I mention that there are a lot of small ships out there?
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Re: Miscellaneous Discoveries in Other Cellular Automata

Postby Saka » October 13th, 2017, 3:29 am

3c/21o R
x = 3, y = 3, rule = B2n3-cqy4ceqt5aen6cn8/S2-n3-ey4tz6ein
bo$3o$o!

(5,2)c/21 R
x = 3, y = 3, rule = B2k3-ckqy4ikryz5ce6i7/S2-n3-cey4en
bo$3o$o!

I'm going to modify Rulesrc to 6 gens in Life on B Heptominos and odd periods only and let it save the results in a folder.
Haven't finished so here's a B
(5,1)c/35
x = 4, y = 3, rule = B2in3-ckn4ejq5ak6c7c/S2-cn3-acek4q5r
bo$3o$ob2o!
Everyone, please stop posting B/S about CA
The Bugs Range 1 to 100 Project
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Re: Miscellaneous Discoveries in Other Cellular Automata

Postby muzik » October 13th, 2017, 9:05 am

Thought I had an adjustable speed rule.
x = 18, y = 4, rule = B2ae3nr4i/S2n
bo3bobo$o6bo$6bo9bo$17bo!
2c/n spaceships project

Current priorities: see here
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Re: Miscellaneous Discoveries in Other Cellular Automata

Postby muzik » October 13th, 2017, 9:46 am

Failed attempt at another adjustable rule:
x = 3, y = 13, rule = 1e2-en3ejnr4ir5ay/2ci3aejr4kt5a6ack7e/3
.A$A.A$A.A$A.A$A.A$A.A$A.A$A.A$3A$ABA$A.A$A$A!
2c/n spaceships project

Current priorities: see here
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Re: Miscellaneous Discoveries in Other Cellular Automata

Postby Rhombic » October 13th, 2017, 11:40 am

piships
x = 3, y = 3, rule = B3/S23

3o$2bo$3o!



B2n3aeijky4eqrz5ajr6cein7c/S23aeijnqry4cer5jr6a   (7,0)/   100
B2n3aeijy4kw6ik/S23aeijnqr4r7e   (9,0)/   23
B2k3aceijkq4eqtwy5cjnr6aik7c/S23aeijnqr4cjn5eq7c   (3,0)/   44
B2k3aeijq4kqwz5nr6ai7c8/S23aeijnqr4e5j   (7,0)/   26
B3aeijkqr4j5r6i/S023aeijnqr   (3,0)/   25
B2k3aeijkqry4enqrz5acjk6ci7c/S23aeijnqry4ak6ck   (7,0)/   32
B2k3aeijky4ejnqrtyz5ajnr6aein7c/S23aeijknqry4k5aj6i7e   (9,0)/   57
B3aeijn4t5akr6ik/S23aceijnqr5ac6c   (2,0)/   15
B3aeijkq4n6in/S23aeijnqr6n   (8,0)/   22
B3aeijkn4r5aj6ik/S23aeijnqr4jnt5ce   (10,0)/   24
B2k3aeijq4ejkrwy5anr6cik/S23aeijnqr6i7c   (3,0)/   33
B2n3aceijqr4nz5nr6n/S23aeijnqr4t5j   (5,0)/   25
B3aeijkn4ejkn5akr6ceik8/S23aeijnqr4ctz5cekn8   (9,0)/   23
B3aeijn4kt5ajk6aik/S23aeijnqr4z5k   (6,0)/   20
B3aeijnq4k5jk6i7c/S23aeijnqr4j5j7e   (9,0)/   56
B2n3aeijkq4nqtz5cjkr6aen8/S23aeijnqr4ekntz5cknq6aei   (13,0)/   36
B2k3aeijqy4knrt5r6e/S23aeijnqr5ae7e   (2,0)/   28
B2n3aeijk4jk5aj6cikn7c/S23aeijnqry4jz5jr6ain   (4,0)/   33
B2k3aeijq4knry5a6i7c8/S23aeijnqr5j6k8   (8,0)/   21
B2n3aceijqry4rwz5acn6ai/S23aeijnqr4ty5j   (2,0)/   38
B3aeij4ejkw5ajr6ai/S23aeijnqr5e6ai8   (9,0)/   20
B3aeijr4ny5a/S23aceijnqr4a5q   (2,0)/   23
B2n3aeijqy4kq5jn6aci7c/S23aeijknqr4jn6acn7c   (5,0)/   28
B3aeij4kw5ar6ai/S23aeijnqr6a8   (11,0)/   24
B2n3aceijkr4jyz5c6ci7c8/S23aceijknqr4cjkn5jknr6i7e8   (4,0)/   256
B3aeij4knrw6en8/S23aeijknqr4jn5c7e   (9,0)/   20
B3aeij4q5a6ck/S23aceijnqr5aq6ci7e   (3,0)/   14
B2n3aeijry4nrty5aknr6a/S23aeijnqr5n   (7,0)/   20
B3aeijq4qrt5jr6ci7c/S23aeijnqr4jny5a6k   (1,0)/   48
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Re: Miscellaneous Discoveries in Other Cellular Automata

Postby AforAmpere » October 13th, 2017, 1:52 pm

3c/4 dot puffer, can someone make a higher period (than 4) spaceship out of these?

x = 29, y = 26, rule = B2aci3aq4j/S03j4i
o$2bobo$2bo2bo$bo3b2o$3b2obo$3ob3o$3b2obo$bo3b2o$2bo2bo$2bobo$o23bo$
18bo$19bobo4bobo$19bobo2bo$18bo7bobo$o25b3o$2bobo21bobo$2bo2bo18bo$bo
3b2o19bobo$3b2obo$3ob3o17bo$3b2obo$bo3b2o$2bo2bo$2bobo$o!
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: Miscellaneous Discoveries in Other Cellular Automata

Postby A for awesome » October 13th, 2017, 5:09 pm

AforAmpere wrote:3c/4 dot puffer, can someone make a higher period (than 4) spaceship out of these?

rle


Here's an entirely different 6c/8 orthogonal ship, min pop = 11 cells:
x = 6, y = 5, rule = B2ac3ek4er/S2ak3r4qr
b3o$obo2bo$4bo$o4bo$bo3bo!


I was trying to find a (3,1)c/4 ship, but I found this instead.

EDIT: Two copies make a 12c/16 ship:
x = 6, y = 15, rule = B2ac3ek4er/S2ak3r4qr
bo3bo$o4bo$4bo$obo2bo$b3o6$b3o$obo2bo$4bo$o4bo$bo3bo!


EDIT 2: Both reduced, to 10 and 12 cells, respectively:
x = 6, y = 33, rule = B2ac3ek4er5i/S2ak3r4qrt
b2obo$bo2bo$b2ob2o$3bo17$4bo$4bo$o2bo$4bo$2bo4$2bo$4bo$o2bo$4bo$4bo!


The new 12c/16, while composed of two copies of the new 6c/8, is only two cells larger due to extreme spark suppression.
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: Miscellaneous Discoveries in Other Cellular Automata

Postby AforAmpere » October 13th, 2017, 6:59 pm

Nice work! What was the lead on the (3,1)c/4? Maybe (3,1)c/5 or (3,1)c/6 would be easier to find.
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: Miscellaneous Discoveries in Other Cellular Automata

Postby muzik » October 13th, 2017, 7:17 pm

Can (3,1)c/4 even exist?
2c/n spaceships project

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Re: Miscellaneous Discoveries in Other Cellular Automata

Postby A for awesome » October 13th, 2017, 7:18 pm

AforAmpere wrote:Nice work! What was the lead on the (3,1)c/4?

I lost it, but I'm fairly confident that one exists.
EDIT: A 6-cell (6,2)c/8:
x = 3, y = 5, rule = B2acn3aek4ar5a/S2ack3c4er5eq
o$2bo$2bo$bo$obo!

EDIT 2: P4 version ((3,1)c/4), 8 cells:
x = 3, y = 5, rule = B2ac3aek4ar5ae/S2ack3c4er5eq
2bo$b2o$3o$o$o!

It's also mildly interesting that both are polyominoes in a phase.
EDIT 3: My new favorite replicator:
x = 3, y = 3, rule = B2ac3aek4ar5ae/S2ack3c4er5eq
2bo$b2o$3o!
Last edited by A for awesome on October 13th, 2017, 7:42 pm, edited 2 times in total.
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: Miscellaneous Discoveries in Other Cellular Automata

Postby AforAmpere » October 13th, 2017, 7:37 pm

Awesome! P4 is finally complete!
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: Miscellaneous Discoveries in Other Cellular Automata

Postby muzik » October 13th, 2017, 7:45 pm

Oh yay

So, assuming you're not correct in your saying that (4,1)c/5 is impossible, maybe you should try working on finding a ship of said speed to see if that statement really is correct.
Last edited by muzik on October 13th, 2017, 7:46 pm, edited 1 time in total.
2c/n spaceships project

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Re: Miscellaneous Discoveries in Other Cellular Automata

Postby A for awesome » October 13th, 2017, 7:46 pm

(3,1)c/4 backrake in a related rule:
x = 3, y = 12, rule = B2ac3aek4ary5ae/S2ack3c4er5eq
2bo$b2o$3o$o$o3$2bo$b2o$3o$o$o!

Skew Sierpiński generator:
x = 19, y = 16, rule = B2ac3aek4ary5ae/S2ack3c4er5eq
6bo$5b2o9bo$4b3o11bo$4bo13bo$4bo12bo$16bobo2$2bobo9bo$7bo6bobo$o6bobo
8bo$obo15bo$17bo$16bobo2$14bo$16bo!
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: Miscellaneous Discoveries in Other Cellular Automata

Postby AforAmpere » October 13th, 2017, 7:53 pm

I have a feeling that (4,1)c/5 is either impossible, or out of current reach. (3,2)c/5 or (3,1)c/5 might be possible though. Also, nice with the backrake! That is kind of freaky.
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: Miscellaneous Discoveries in Other Cellular Automata

Postby A for awesome » October 13th, 2017, 8:10 pm

Anyone want to take a shot at reducing this (9,3)c/12?:
x = 45, y = 23, rule = B2ac3aek4ary5ae/S2ack3c4er5eq
18bo$20bo$20bo$19bo22bo$18bobo8bo14bo$28b2o14bo$16bo10b3o13bo$4b3o11bo
8bo14bobo$3bobo21bo$2bobobo33bo$4b2o27bo6bobo$2bobo22bo5bobo8bo$21bobo
2bobo15bo$21bobo19bo$obo25bo13bobo$30bo$obo27bo9bo$29bo12bo$15b3o10bob
o$14bobo$13bobobo8bo$15b2o11bo$13bobo!
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: Miscellaneous Discoveries in Other Cellular Automata

Postby muzik » October 13th, 2017, 8:17 pm

Here's a p8, not too useful:
x = 19, y = 19, rule = B2ac3aek4ary5ae/S2ack3c4er5eq
3bo$5bo$5bo$4bo11b3o$3bobo9bobo$14bobobo$bo14b2o$3bo10bobo$10bobo$3bob
o4bo$3bo12b3o$15bobo$14bobobo$16b2o$2b3o9bobo$bobo$obobo$2b2o$obo!
2c/n spaceships project

Current priorities: see here
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Re: Miscellaneous Discoveries in Other Cellular Automata

Postby AforAmpere » October 13th, 2017, 8:25 pm

70 cells:
x = 42, y = 23, rule = B2ac3aek4ary5ae/S2ack3c4er5eq
15bo$17bo$17bo$16bo22bo$15bobo8bo14bo$25b2o14bo$2bo10bo10b3o13bo$4bo
10bo8bo14bobo$4bo19bo$3bo33bo$2bobo25bo6bobo$24bo5bobo8bo$o17bobo2bobo
15bo$2bo15bobo19bo$25bo13bobo$27bo$27bo9bo$26bo12bo$12b3o10bobo$11bobo
$10bobobo8bo$12b2o11bo$10bobo!
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: Miscellaneous Discoveries in Other Cellular Automata

Postby muzik » October 13th, 2017, 8:29 pm

Boredom takes the mind to the strangest of places:
x = 228, y = 295, rule = B2ac3aek4ary5ae/S2ack3c4er5eq
204bobo$185b3o18bo$184bobo16bob3o$183bobobo18bo$185b2o14bobo$183bobo
13bo4b2o$192bo4bo5bo$190bo6bo6bobo$187bo2bo15bo$187bo15bob3o$185bo20bo
$190bobo8bobo$192bo11b2o$189bob3o9bo$192bo$182bo4bobo$190b2o$182b2o5bo
8$176bo2$176b2o8$170bo2$170b2o8$164bo2$164b2o8$158bo2$158b2o57bobo$
198b3o18bo$197bobo16bob3o$151bo44bobobo18bo$151bobo44b2o14bobo$137bo
22b2o34bobo13bo4b2o$137bobo65bo4bo5bo$123bo35bo43bo6bo6bobo$123bobo77b
o15bo$109bo106bob3o$109bobo76b3o7bo20bo$95bo70b2o19bobo13bobo8bobo$89b
o5bobo89b2obo7b2o5bo11b2o$82bo5bo2bo73bo21bobo12bob3o9bo$91bo113bo$80b
o4bo3bo2bo107bobo$178bo13bo10b2o$84b2o4bo81b2o5b3o20bo$186bo5bo$171bo
5bo4bo17bo$186bo12b2o$97b2o78bo3bo16b3o$198bo$96bo101bo4$103b2o2$102bo
4$109b2o2$73bo34bo2$72b2o2$115b2o$178bobo$114bo44b3o18bo$158bobo16bob
3o$157bobobo18bo$159b2o14bobo$121b2o34bobo13bo4b2o$166bo4bo5bo$120bo
43bo6bo6bobo$164bo15bo$177bob3o$149b3o7bo20bo$127b2o19bobo13bobo8bobo$
148b2obo7b2o5bo11b2o$126bo21bobo12bob3o9bo$166bo$61bo99bobo$139bo13bo
10b2o$60b2o71b2o5b3o20bo$147bo5bo$132bo5bo4bo17bo$147bo12b2o$138bo3bo
16b3o$159bo$159bo10$211bobo$192b3o18bo$49bo141bobo16bob3o$190bobobo18b
o$48b2o142b2o14bobo$190bobo13bo4b2o$199bo4bo5bo$197bo6bo6bobo$194bo2bo
15bo$194bo15bob3o$192bo20bo$197bobo8bobo$199bo11b2o$196bob3o9bo$199bo$
189bo4bobo$197b2o$189b2o5bo5$37bo2$36b2o$183bo2$183b2o8$177bo2$177b2o
5$25bo2$24b2o$171bo2$171b2o8$165bo2$165b2o57bobo$205b3o18bo$204bobo16b
ob3o$158bo44bobobo18bo$158bobo44b2o14bobo$13bo130bo22b2o34bobo13bo4b2o
$144bobo65bo4bo5bo$12b2o116bo35bo43bo6bo6bobo$130bobo77bo15bo$116bo
106bob3o$116bobo76b3o7bo20bo$102bo70b2o19bobo13bobo8bobo$96bo5bobo89b
2obo7b2o5bo11b2o$89bo5bo2bo73bo21bobo12bob3o9bo$98bo113bo$87bo4bo3bo2b
o107bobo$185bo13bo10b2o$91b2o4bo81b2o5b3o20bo$193bo5bo$178bo5bo4bo17bo
$193bo12b2o$104b2o78bo3bo16b3o$205bo$103bo101bo2$bo2$2o108b2o2$3b2o
104bo2$2bo2$116b2o2$80bo34bo2$79b2o2$122b2o$185bobo$15b2o104bo44b3o18b
o$165bobo16bob3o$14bo149bobobo18bo$166b2o14bobo$128b2o34bobo13bo4b2o$
173bo4bo5bo$127bo43bo6bo6bobo$171bo15bo$184bob3o$156b3o7bo20bo$134b2o
19bobo13bobo8bobo$155b2obo7b2o5bo11b2o$27b2o104bo21bobo12bob3o9bo$173b
o$26bo41bo99bobo$146bo13bo10b2o$67b2o71b2o5b3o20bo$154bo5bo$139bo5bo4b
o17bo$154bo12b2o$145bo3bo16b3o$166bo$166bo2$39b2o2$38bo8$56bo2$51b2o2b
2o2$50bo4$57b2o$120bobo$56bo44b3o18bo$100bobo16bob3o$99bobobo18bo$101b
2o14bobo$63b2o34bobo13bo4b2o$108bo4bo5bo$62bo43bo6bo6bobo$106bo15bo$
119bob3o$91b3o7bo20bo$69b2o19bobo13bobo8bobo$90b2obo7b2o5bo11b2o$68bo
21bobo12bob3o9bo$108bo$103bobo$81bo13bo10b2o$75b2o5b3o20bo$89bo5bo$74b
o5bo4bo17bo$89bo12b2o$80bo3bo16b3o$101bo$101bo!
2c/n spaceships project

Current priorities: see here
muzik
 
Posts: 2575
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: Miscellaneous Discoveries in Other Cellular Automata

Postby AforAmpere » October 13th, 2017, 8:54 pm

Heavily reduced:
x = 147, y = 103, rule = B2ac3aek4ary5ae/S2ack3c4er5eq
73bobo$75b2o$73bobobo$52bobo19bobo$61bobo11b3o$49bo5bo$55bo11bobo10bo$
48b2o7bo20bo2$64bo15bobo$62b4o8b2o5bo12bo$43bo20bobo15bo9bo$62bo2b3o5b
o8bo$42b2o22bo13bo13bobo$64bobo28bo$78bobo15bo$78bo6bobo8bo$37bo35bo
11bo6bobo$74b2o16bo$36b2o33bobo$76bo17bobo$73bob3o17bo$76bo19bo$31bo
42bobo19bo$94bo$30b2o3$72bo$25bo47b2o$70bobo$24b2o25bo23bo$60bo11bob3o
$51bo23bo$52bobo5bo5bo6bobo$19bo28bo3bo$66bo$18b2o26b2o31bo$60b2obo8b
2o5bo$62bo16b3o$59bo5bo7bo6b2o$13bo28bo21bo16bo11bo$65bo27bo$12b2o26b
2o23bo13bo13b3o$63bo11bo8bo9b2o$75bo6bo8bo3bo$73bo8bo6bo$o3bo31bo34bo
17bo$93bo$2bobo29b2o37bobo17bo$74bo18b3o$75bo18b2o$75bo19bo$30bo42bo2$
15b2o11b2o$123bo$15bo108b2o$121bobo$102bo23bo$111bo11bob3o$102bo23bo$
103bobo5bo5bo6bobo$24bobo72bo3bo$38bo78bo$38bobo56b2o31bo$52bo58b2obo
8b2o5bo$52bobo58bo16b3o$66bo43bo5bo7bo6b2o$66bobo24bo21bo16bo11bo$80bo
35bo27bo$80bobo8b2o23bo13bo13b3o$89b2o23bo11bo8bo9b2o$126bo6bo8bo3bo$
90bo33bo8bo6bo$122bo17bo$144bo$124bobo17bo$125bo18b3o$126bo18b2o$126bo
19bo$124bo$95b2o2$96bo2$105bo$105bo$105b3o$106b2o$107bo11bo$119bo$101b
2o2bo13b3o$110bo9b2o$100b3o5bo8bo3bo$99bo8bo6bo$97bo17bo$119bo$99bobo
17bo$100bo18b3o$101bo18b2o$101bo19bo$99bo!


EDIT: 3 cells less:
x = 133, y = 101, rule = B2ac3aek4ary5ae/S2ack3c4er5eq
73bobo$75b2o$73bobobo$52bobo19bobo$61bobo11b3o$49bo5bo$55bo11bobo10bo$
48b2o7bo20bo2$64bo15bobo$62b4o8b2o5bo12bo$43bo20bobo15bo9bo$62bo2b3o5b
o8bo$42b2o22bo13bo13bobo$64bobo28bo$78bobo15bo$78bo6bobo8bo$37bo35bo
11bo6bobo$74b2o16bo$36b2o33bobo$76bo17bobo$73bob3o17bo$76bo19bo$31bo
42bobo19bo$94bo$30b2o3$72bo$25bo47b2o$70bobo$24b2o25bo23bo$60bo11bob3o
$51bo23bo$52bobo5bo5bo6bobo$19bo28bo3bo$66bo$18b2o26b2o31bo$60b2obo8b
2o5bo$62bo16b3o$59bo5bo7bo6b2o$13bo28bo21bo16bo11bo$65bo27bo$12b2o26b
2o23bo13bo13b3o$63bo11bo8bo9b2o$75bo6bo8bo3bo$73bo8bo6bo$o3bo31bo34bo
17bo$93bo$2bobo29b2o37bobo17bo$74bo18b3o$75bo18b2o$75bo19bo$30bo42bo$
109bo$15b2o11b2o80b2o$107bobo$15bo72bo23bo$97bo11bob3o$88bo23bo$89bobo
5bo5bo6bobo$85bo3bo$103bo$24bobo56b2o31bo$38bo58b2obo8b2o5bo$38bobo58b
o16b3o$52bo43bo5bo7bo6b2o$52bobo24bo21bo16bo11bo$66bo35bo27bo$66bobo8b
2o23bo13bo13b3o$75b2o23bo11bo8bo9b2o$112bo6bo8bo3bo$76bo33bo8bo6bo$
108bo17bo$130bo$110bobo17bo$111bo18b3o$112bo18b2o$112bo19bo$110bo$81b
2o2$82bo2$91bo$91bo$91b3o$92b2o$93bo11bo$105bo$87b2o2bo13b3o$96bo9b2o$
86b3o5bo8bo3bo$85bo8bo6bo$83bo17bo$105bo$85bobo17bo$86bo18b3o$87bo18b
2o$87bo19bo$85bo!
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: 237
Joined: July 1st, 2016, 3:58 pm

Re: Miscellaneous Discoveries in Other Cellular Automata

Postby AforAmpere » October 13th, 2017, 9:12 pm

Super skewed Sierpinski:
x = 157, y = 109, rule = B2ac3aek4ary5ae/S2ack3c4er5eq
57bo$33bo23bo$42bo14b3o$34b2o22b2o$42bo5bo10bo2$42bobo3bo5bo6bo$27bo
14b2obo16b2o$42bobo9bo4bobo$28b2o13b3o18bo$46bobo12bob3o9bo$46b2obo14b
o11b2o$46bobo13bobo8bobo$21bo25b3o7bo20bo$59bo15bob3o$22b2o35bo2bo15bo
$62bo6bo6bobo$64bo4bo5bo$55bobo13bo4b2o$15bo41b2o14bobo$55bobobo18bo$
16b2o38bobo16bob3o$57b3o18bo$76bobo2$9bo2$10b2o4$3bo2$4b2o$7bo$109bo$
7bo77bo23bo$94bo14b3o$86b2o22b2o$94bo5bo10bo$25bo$3b2o89bobo3bo5bo6bo$
25bo53bo14b2obo16b2o$3bo90bobo9bo4bobo$80b2o13b3o18bo$98bobo12bob3o9bo
$43bo54b2obo14bo11b2o$98bobo13bobo8bobo$43bo29bo25b3o7bo20bo$111bo15bo
b3o$74b2o35bo2bo15bo$9b2o103bo6bo6bobo$61bo54bo4bo5bo$9bo97bobo13bo4b
2o$61bo5bo41b2o14bobo$107bobobo18bo$68b2o38bobo16bob3o$109b3o18bo$128b
obo3$15b2o$71b2o$15bo$71bo7$21b2o5bo$29b2o46b2o5bo$21bo4bobo56b2o$31bo
45bo4bobo$28bob3o9bo44bo$31bo11b2o39bob3o9bo$29bobo8bobo44bo11b2o$24bo
20bo39bobo8bobo$26bo15bob3o33bo20bo$26bo2bo15bo36bo15bob3o$29bo6bo6bob
o36bo2bo15bo$31bo4bo5bo42bo6bo6bobo$22bobo13bo4b2o42bo4bo5bo$24b2o14bo
bo35bobo13bo4b2o$22bobobo18bo34b2o14bobo$23bobo16bob3o31bobobo18bo$24b
3o18bo33bobo16bob3o$43bobo34b3o18bo$99bobo!


(18,6)c/24:
x = 133, y = 80, rule = B2ac3aek4ary5ae/S2ack3c4er5eq
40bo$41b2o$38bobo$19bo23bo$28bo11bob3o$19bo23bo$20bobo5bo5bo6bobo$16bo
3bo$34bo$14b2o31bo$28b2obo8b2o5bo$30bo16b3o$27bo5bo7bo6b2o$10bo21bo16b
o11bo$33bo27bo$8b2o23bo13bo13b3o$31bo11bo8bo9b2o$43bo6bo8bo3bo$41bo8bo
6bo$4bo34bo17bo$61bo$2b2o37bobo17bo$42bo18b3o$2o41bo18b2o45bo$10bo32bo
19bo46b2o$bo39bo65bobo$10bo77bo23bo$97bo11bob3o$88bo23bo$89bobo5bo5bo
6bobo$28bo56bo3bo$103bo$28bo54b2o31bo$6b2o89b2obo8b2o5bo$99bo16b3o$7bo
88bo5bo7bo6b2o$46bo32bo21bo16bo11bo$102bo27bo$46bo30b2o23bo13bo13b3o$
100bo11bo8bo9b2o$112bo6bo8bo3bo$110bo8bo6bo$19bo44bo8bo34bo17bo$12b2o
5bo110bo$19b3o42bo6b2o37bobo17bo$13bo6b2o89bo18b3o$21bo11bo78bo18b2o$
33bo78bo19bo$19bo13b3o74bo$15bo8bo9b2o$15bo6bo8bo3bo$13bo8bo6bo$11bo
17bo$33bo$13bobo17bo40b2o$14bo18b3o$15bo18b2o39bo$15bo19bo$13bo5$87bo$
80b2o5bo$87b3o$81bo6b2o$89bo11bo$101bo$87bo13b3o$83bo8bo9b2o$83bo6bo8b
o3bo$81bo8bo6bo$79bo17bo$101bo$81bobo17bo$82bo18b3o$83bo18b2o$83bo19bo
$81bo!


EDIT: 223 cell (12,4)c/16
x = 68, y = 72, rule = B2ac3aek4ary5ae/S2ack3c4er5eq
32bo$33b2o$30bobo$11bo23bo$20bo11bob3o$11bo23bo$12bobo5bo5bo6bobo$8bo
3bo$26bo$6b2o31bo$20b2obo8b2o5bo$22bo16b3o$19bo5bo7bo6b2o$2bo21bo16bo
11bo$25bo27bo$2o23bo13bo13b3o$23bo11bo8bo9b2o$35bo6bo8bo3bo$33bo8bo6bo
$31bo17bo$53bo$33bobo17bo$34bo18b3o$35bo18b2o$35bo19bo$33bo$b2o2$3bo
40bo$45b2o$42bobo$23bo23bo$32bo11bob3o$23bo23bo$24bobo5bo5bo6bobo$20bo
3bo$38bo$18b2o31bo$32b2obo8b2o5bo$34bo16b3o$31bo5bo7bo6b2o$36bo16bo11b
o$37bo27bo$37bo13bo13b3o$35bo11bo8bo9b2o$47bo6bo8bo3bo$13b2o30bo8bo6bo
$43bo17bo$15bo49bo$45bobo17bo$46bo18b3o$47bo18b2o$47bo19bo$45bo3$19b2o
4bobo$27b2o$21bo3bobobo$26bobo$27b3o9bobo$41b2o$39bobobo$21bobo16bobo$
23bo4bo12b3o$28bobo4bo$35bobo$21bo17bobo$21bo19b2o$21b3o15bobobo$22b2o
16bobo$23bo17b3o!
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: 237
Joined: July 1st, 2016, 3:58 pm

Re: Miscellaneous Discoveries in Other Cellular Automata

Postby A for awesome » October 13th, 2017, 9:39 pm

Suboptimal (36,12)c/48:
x = 169, y = 79, rule = B2acn3aek4ar5a/S2ack3c4er5eq
130bobo$126bo5bo11bo$131b3o12bo$132bo13bo$145bo15bo$124bo6bo9bob2obo
16bo$143bo19bo$115b3o23bobo18bo$111b4obo24bo3bo15bobo$115bobo23bo7b3o$
110b2o3b2o24b2ob2ob2obo$115bo33bobo5bo10bo$110bo3bo26bo7b2o7bo8b2o$
147bobo9bo6b3o$147b2o7bo9bo$166bo$73bo57bo5bo12bobo5bo$75bo55bo5bo$75b
o33bobobo38bo$58bo15bo$60bo9bob2obo64bo15bo$60bo11bo44bo37b2o$59bo10bo
bo18bo23bo3bo31b2ob3o$58bobo12bo41bo3bo34bo$91bo25bo31bo3b2o$34bo92bob
o22bo$36bo62bo23bo5bo21bo$36bo76bo14b3o$35bo35bo5bo21bo7bo11bo9bo$34bo
bo34bo5bo29bo11bo$91bo21bo7bo6bo2$93bo$91bo25bo$55bo39bo19bo3bo$91bo3b
o19bo3bo15bo$55bo23bobo11bo23bo$134b2o$63bo$77bobo$63bo5$110bobo$19bo$
125bobo$19bo23bobo81bo$111bobo$27bo$41bobo67bobo$27bo2$128bo$130bo$44b
o85bo$o29bobo10b2o29bobo52bo$2bo23bo5bo9b3o83bobo$2bo28b3o8bo$bo30bo9b
o$obo10b3o59bobo$9b4obo9bo6bo$13bobo59bobo$8b2o3b2o$13bo$8bo3bo6$47bo$
46b2o$45b3o12bo$45bo13b2o$45bo12b3o$58bo$58bo!
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
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A for awesome
 
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Location: 0x-1

Re: Miscellaneous Discoveries in Other Cellular Automata

Postby Saka » October 13th, 2017, 11:20 pm

Thunderbird w/ 6-gen constraints in Life
6c/35o
x = 3, y = 5, rule = B2in3-ckqy4w5cr6c8/S23-cjk4cjty8
3o2$bo$bo$bo!

2c/30o
x = 3, y = 5, rule = B3-c4ky5cjknq6-i7c/S023-cjk4nyz5kn6ik7c8
3o2$bo$bo$bo!
Everyone, please stop posting B/S about CA
The Bugs Range 1 to 100 Project
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Saka
 
Posts: 2080
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

Re: Miscellaneous Discoveries in Other Cellular Automata

Postby Goldtiger997 » October 13th, 2017, 11:27 pm

Bookend with 2-gen constraint in life (thanks for the nice script Rhombic!):

x = 4, y = 3, rule = B3/S23
b3o$o2bo$2o!


B2c3ai4rwy5i/S2aek3ijnqr4i   (5,0)/   10
B2c3aijr4qr5y/S2aek3ijnqr4r   (6,0)/   15
B3ai4r/S2aek3ijnqr4i   (4,0)/   8
B2n3aiq4y/S2aek3aijknqry4r5y   (1,1)/   28
B2i3aeijn4yz6a/S2aek3ijnqr4n   (6,0)/   18
B3aiq4i/S2aek3aijnqr4r5i   (3,3)/   16
B2i3aiq4jqry6ac/S12aek3ijnqr4nrw5ac7e8   (3,3)/   24
B2n3ain/S2aek3ijnqr4i   (22,0)/   44
B3aeiknq4ceknqrwyz5einry/S1c2aek3aeijnqr4n5cjk7e   (6,1)/   45
B3ai4ary5ky6k/S2aek3aijnqr   (2,1)/   7
B3aci/S2acek3cijnqry4i   (6,0)/   12
B2i3ai4r/S2aek3ijnqr4ir   (6,0)/   12
B2ci3aei4i/S1c2acek3ijnqr5j   (4,0)/   14
B3ai4ry6an/S2aek3eijnqr4ir5k6ac   (12,0)/   24
B2c3ai4i5c/S2aek3ijnqr4i   (6,0)/   12
B3aijkq4nr5ry/S2aek3ijnqr   (3,3)/   14
B3ainqr4nyz6ack/S2aek3aeijnqr   (1,1)/   16
B3ai4ary5ky6k/S2aek3ijnqr   (2,1)/   7
B3air4ny/S2aek3ijnqr4i   (10,0)/   20
B3acin5c/S2aek3ijnqr4i   (9,0)/   18
B3ai4ay5ciy/S2acek3ijnqr   (4,0)/   10
B2ci3aiq4ay5c6a/S2aeikn3cijnqr4art5y   (2,0)/   24
B2i3aeijk4eky5cr6ack7c/S01c2aek3ijnqr4n   (3,3)/   24
B3ainy4rz5cry/S2acek3aijnqr4r6c   (3,0)/   8
B3aiq4iry6c/S2aek3aeijknqr4anqt5cy8   (4,0)/   26
B3aiqy4kyz5ir6c7e/S1e2acek3ijknqr4a5cj   (2,0)/   12
B3aijn4kw5i6k/S2aek3aijnqry4ikt5j   (4,4)/   18
B2n3aij6a/S1e2acekn3ijnqr4en5ir   (4,0)/   30
B2in3aiq4acjn5c/S2aek3eijknqr4inrw5cjknqy7   (10,0)/   70
B3aikn4y7c/S2aekn3aijnqr4i   (16,0)/   32
B3acik5aikr/S2aek3aeijnqr4aikn5jr   (8,0)/   16
B2c3ai4ir5n6ac7e/S2acek3aijnqry4en5qr   (2,0)/   9
B2c3air4jwy5cin6c/S2aek3ijnqr4ir   (6,6)/   34
B3acin5cn/S2aek3ijnqry4aiq   (7,0)/   14
B3aij4ry5y6ck/S2aek3ijnqr   (4,0)/   10
B3acij5i6ck/S2aek3ijnqr   (2,0)/   14
B2i3ain4y5c/S02aek3ijnqr4ar   (2,0)/   16
B2in3acinr4inty/S2aek3ijnqr4i   (18,0)/   36
B2in3aceiqry4ceikqtwy5cknry6acek8/S1e2aeik3ijknqr4enrwyz5enqy6a78   (4,0)/   120
B2ci3acein4ry5aiy6k/S2aek3ijnqr4r   (1,1)/   20
B2c3air4jy5cin/S1e2aek3ijknqr   (2,1)/   8
B3ai4nr5ky6c/S2aek3aijnqr   (2,1)/   7
B3aij4jr5a6a/S2aeik3ijnqr4qy5cir   (1,1)/   18
B2i3ainr4aky5i6ac/S1c2aek3ijnqr   (2,1)/   10
B2cin3aciqry4ainqy5aiky6k7/S2aek3eijnqr8   (4,4)/   40
B2i3aciny4aey5y6ac7e/S2aek3ijnqry4ain   (4,4)/   26
B3ai4ry5y/S2acek3ijnqr4z   (2,0)/   12
B3aijqy4ikrz5an/S2acek3aijnqr5i   (6,6)/   40
B3aeij4qry5y6k/S2aek3cijnqr5n   (2,0)/   16
B2cn3aijq4iry5cry6ack/S2aek3ijnqr4n   (2,0)/   16
B3aeiqr4ajyz5ck6ck/S2acek3ijnqr4ainw5ciny   (3,2)/   11
B2n3ain4y/S2aek3cijnqry4iy   (6,0)/   12
B3aij4nr/S2aek3aijnqr5i   (2,2)/   14
B3aij4r6ac/S2aek3ijnqr4n5r6a   (4,0)/   10
B2i3aeinr4jkwy6ac/S1e2aekn3ijnqr4r5c7c   (4,0)/   42
B2n3aei/S2aek3ijnqr4i   (8,0)/   16
B3ai4nr5r6c/S2acek3ijnqr4r5j   (2,0)/   6
B2in3aijkqy4nrwy5c/S01e2aekn3ijnqr4t5eiq6ain   (2,0)/   38
B3aij4knr5ary/S2aek3cijnqr6c   (2,2)/   20
B2c3ai4aekt5ey6c7c/S2acek3aceijnqr4nry5ajky6kn7e   (4,1)/   23
B3aei4iyz5ci/S2acek3cijnqry4arz   (1,1)/   30
B3ain4knr5r/S1c2aek3aijnqr4r6k   (4,0)/   20
B3ai4r5iky/S2aek3aijnqr   (2,1)/   7
B3aij4nr/S2aek3aijnqr4nr5i   (2,2)/   14
B2i3ainq4ijnrty5i6ac/S02acek3aijnqr4k5airy6n7e   (6,0)/   28
B3ai4arw/S2aek3ijnqr4airw5ijqy6n   (4,0)/   14
B3aci4iy/S1e2aek3ijnqr4y   (1,1)/   24
B3ai6a/S2aek3ijnqr4air6c   (4,0)/   24
B3aij4iry/S2aek3ijnqry4akqr   (4,0)/   22
B2i3aiq4kqy/S1c2aek3aijnqr5a   (4,0)/   22
B2in3aeijk4aeijkqtwy5knry6ekn8/S2acek3ijnqr4ak5kq6en   (4,3)/   49
B2c3aeinq4kn6an/S2aek3ijnqry4r5q   (2,1)/   14
B2n3aeiknq4kqyz5eik6cik/S1e2aek3aceijnqry4an5aknqy6in   (1,1)/   36
B3aij4akwy5ry6a/S2aek3ijnqr4a5y   (2,2)/   16
B3aijkr4y5ei6c/S2aek3ijnqr4k   (1,1)/   9
B3acin5iny6c/S1e2acek3ijnqr4aeyz5cey7e   (4,0)/   22
B3air4y/S2aeik3ijnqr4i   (10,0)/   20
B3aeinq4q5r7e/S2aek3ijnqr4iny   (22,0)/   44
B3aij4jwy5iy/S2aeik3ijnqr   (6,0)/   14
B3aci5cy/S2aek3ijnqr4ry   (1,1)/   12
B2ci3acijr4qrz5in6ac/S02aek3eijnqr5a   (1,1)/   30
B3ain5in/S2aek3ijnqr4i   (6,0)/   12
B2ci3ai4ey/S2aek3ijnqr4iy   (6,0)/   12
B2ci3aceikry4yz5cknry6cn7e/S2aekn3acijknqr4aekqty5jqy6akn7c   (1,1)/   76
B3aeijqy4ijryz5ai6ac/S2aeik3aijnqr4intw5aj6a   (4,0)/   26
B3aeijkn4y5y/S2aek3ijnqr   (2,2)/   8
B3ain4ry5iny/S02acek3aijknqr4nr   (4,4)/   22
B3ai4ky5ciy/S1c2aek3ijnqr   (4,0)/   14
B3ain4y5ciy/S2aek3eijnqr   (4,0)/   12
B3aceijk4n5ciny/S2acek3eijnqr4kn5a6ak   (2,2)/   30
B3ainr4jr5c6a/S1e2aek3ijnqr4anr   (2,2)/   20
B2cin3aij4jr6a/S1c2aek3acijnqr4n   (2,2)/   20
B3aci5ck6e/S2aek3ijnqr4iny5j   (4,0)/   8


I stopped the search early, so there are definitely more. The most interesting rule was probably this one, in which both the bookend and the B-heptomino are spaceships.
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Re: Miscellaneous Discoveries in Other Cellular Automata

Postby Saka » October 14th, 2017, 4:36 am

My script is nearly done!
(7,2)c/23
x = 4, y = 3, rule = B3-cky4iryz5ce6a7c8/S2aek3-aeky5e6c
bo$3o$ob2o!

c/21o
x = 4, y = 3, rule = B2in3-ck4ceqtyz5ceky8/S2aek3-acy4ceqy5ijk6ik
bo$3o$ob2o!


Yes!! Now I just need to make it keep going forever without stopping.
YES DONE
Steepest yet:
(10,1)c/29
x = 4, y = 3, rule = B3-ekny4j5y6n/S1c2aek3ijnqr5ik
bo$3o$ob2o!


First diagonal:
c/19d
x = 4, y = 3, rule = B3-ekn4jry5ac6i/S1c2aek3-acky4z5i6ek8
bo$3o$ob2o!


New steepness record:
(14,1)c/31
x = 4, y = 3, rule = B3-cekn4jz6c/S2-ci3-aek4q5c6ekn
bo$3o$ob2o!
Everyone, please stop posting B/S about CA
The Bugs Range 1 to 100 Project
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Saka
 
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Re: Miscellaneous Discoveries in Other Cellular Automata

Postby Rhombic » October 14th, 2017, 7:10 am

The best gun I've ever discovered!!!-possibly the first elementary 8-direction 12-fold gun!!
x = 59, y = 79, rule = B3aijq4en5r/S2-ci3-aey4eiz5in6a
50b2o$51b3o$49bo3bo$48bobo2bo$49bob2o4$21b3o$20bo2bo$20bo4bo$19b2o2bo$
20b2obo2$23b3o$23bobo$22b2o$20b2ob2o$21b3o$22bo15$22bo$21b3o$20b2o2bo$
20bo2b2o$20b2o3bo$23b3o14$36b3o$36bo2bo$36bob2o3$3b3o25b2o9b2o$6bo3bo
19b2o9bo2b2o$2o3b2o3b2o19bo2bo5b3o2bo$o2bo7b2o18bo2bo5bo4bo$2ob2o5b2o
20b3o5b5o$2b2o37b2o5$19bo$16bob4o3bo$15bobo2b2o2b2o$13b2ob2o$13bo3bo9b
2o23bo$17b2o7b5o21bobo$17b3o6bo4bo20b2o2b2o$19bobo4b3o2bo24bobo$27bo2b
2o26bo$28b2o25bob2o$55b2o!

Amazing :o
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