## Miscellaneous Discoveries in Other Cellular Automata

For discussion of other cellular automata.

### Re: Miscellaneous Discoveries in Other Cellular Automata

A cooler version of the t ship
x = 3, y = 2, rule = B2ci3aik4w6ck/S012an3-jnry4-acenz5enqr7cbo$3o! Proud owner and founder of Sakagolue x = 17, y = 10, rule = B3/S23b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5bo2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!

(Check gen 2)

Saka

Posts: 2479
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

### Re: Miscellaneous Discoveries in Other Cellular Automata

x = 4, y = 3, rule = B3-n4kq/S2372bo$b3o$2obo!

EDIT: It's an 8c/56.

EDIT: Unrelated:

x = 29, y = 8, rule = B3-n4kq6in7c/S234e7cb3o21b3o$bobo21bobo$o3bo19bo3bo$bobo21bobo$b3o21b3o3$20b3o! EDIT: Same rule: x = 55, y = 16, rule = B3-n4kq6in7c/S234e7c51bo$50bobo$49b2ob2o$49bo3bo$6b2o2$6bo2bo10b2o31b2o$7b2o11b2o31b2o$7b2o6$2o$2o!
Life is hard. Deal with it.

Pattern of the month (September 2017):
#C [[ AUTOFIT ]]x = 7, y = 9, rule = B34tw/S232o$2o$4b2o$6bo$3bo2bo$6bo$4b2o$2o$2o!

Hdjensofjfnen

Posts: 383
Joined: March 15th, 2016, 6:41 pm
Location: (394234, -234231)

### Re: Miscellaneous Discoveries in Other Cellular Automata

9c/72 diagonal:

x = 5, y = 4, rule = B2ikn3aijn/S23-i4q2bo$bobo$o3bo$4o! EDIT: Rule has a 1-tick glider advancer: x = 21, y = 7, rule = B2in3/S2-c32bo$2o$b2o2$3bo15bo$2b2o14b2o$2bobo13bobo!

EDIT2: More miscellaneous stuff in another rule (p6 flipper, c/4 diagonal ship and wickstretcher, 9c/80 diagonal):

x = 55, y = 8, rule = B3-cn/S234q2bo14b2o14b2ob2o14b3o$2ob2o11bo15bo4bo14bo$17b2o14b2obo15bo$2ob2o13b2o14b2o17b2o$bobo2$bobo$2bo!
Last edited by gmc_nxtman on September 4th, 2017, 5:16 pm, edited 1 time in total.

gmc_nxtman

Posts: 1097
Joined: May 26th, 2015, 7:20 pm

### Re: Miscellaneous Discoveries in Other Cellular Automata

How long does this take to stabilize?

x = 18, y = 11, rule = B36/S232b3o$bo2bo$o3bo$o2bo$3o2$15b3o$14bo2bo$13bo3bo$13bo2bo$13b3o! Life is hard. Deal with it. Pattern of the month (September 2017): #C [[ AUTOFIT ]]x = 7, y = 9, rule = B34tw/S232o$2o$4b2o$6bo$3bo2bo$6bo$4b2o$2o$2o! Hdjensofjfnen Posts: 383 Joined: March 15th, 2016, 6:41 pm Location: (394234, -234231) ### Re: Miscellaneous Discoveries in Other Cellular Automata That was unexpected. x = 7, y = 3, rule = B2in3-q4cint5cjk6cik/S2ace3-jqr4cejqrw5n6a7e8o4b2o$2o3b2o$o! EDIT: Unfortunately unextendable (try saying that 3 times fast): x = 3, y = 6, rule = B2-ae3ajnqr4-cjkny5-aijr6ain78/S012-ak3aijkr4-acjtz5ejkqy6-ek7o$bo$2bo$2bo$bo$o!
Proud owner and founder of Sakagolue
x = 17, y = 10, rule = B3/S23b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5bo2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo! (Check gen 2) Saka Posts: 2479 Joined: June 19th, 2015, 8:50 pm Location: In the kingdom of Sultan Hamengkubuwono X ### Re: Miscellaneous Discoveries in Other Cellular Automata All speeds for 2c/4n , where n > 3, in a familiar rule: x = 47, y = 19, rule = B2c3ae4ai56c_S2-kn3-enq46bo15bo15bo2$b3o2bo2b3o5b3o2bo2b3o5b3o2bo2b3o$2bo7bo7bo7bo7bo7bo$2bo7bo7bo7bo7bo7bo$2bo7bo7bo7bo7bo7bo$bobo5bobo6bo7bo7bo7bo$2bo7bo6bobo5bobo6bo7bo$18bo7bo6bobo5bobo$34bo7bo5$3o3bobob3o3b3o3bobob3o3b3o3bob3ob3o$2bo3bobo3bo5bo3bobobo7bo3bo3bobobo$3o2bo2bob3o3b3o2bo2bob3o3b3o2bo2b3obobo$o3bo3bobo5bo3bo3bobobo3bo3bo3bo3bobo$3obo3bob3o3b3obo3bob3o3b3obo3b3ob3o!

Based on the fact that this exists:
http://catagolue.appspot.com/object/xq1 ... 2-kn3-enq4

Now we just need to find adjustables that move at 2c/odd, and we've proved that as well.
2c/n spaceships project

Current priorities: see here
muzik

Posts: 2727
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Miscellaneous Discoveries in Other Cellular Automata

Adjustable speed diagonal ship: 2c/(12n+2) for n>3

x = 28, y = 30, rule = B2cek3cky4-anwy5-ny6-ak78/S123aeik4-aiqrw5-n6-ak7827bo$27bo4$22b2o$24bo3$20b2o2$16bo$16bo3$12b2o$14bo3$10b2o3$5bo$5bo2$2b2o$4bo3$2o!

works in: B2cek4ejt5aj6c/S123a5i - B2cek3cky4-anwy5-ny6-ak78/S123aeik4-aiqrw5-n6-ak78
wildmyron

Posts: 753
Joined: August 9th, 2013, 12:45 am

### Re: Miscellaneous Discoveries in Other Cellular Automata

wildmyron wrote:Adjustable speed diagonal ship: 2c/(12n+2) for n>3

x = 28, y = 30, rule = B2cek3cky4-anwy5-ny6-ak78/S123aeik4-aiqrw5-n6-ak7827bo$27bo4$22b2o$24bo3$20b2o2$16bo$16bo3$12b2o$14bo3$10b2o3$5bo$5bo2$2b2o$4bo3$2o!

works in: B2cek4ejt5aj6c/S123a5i - B2cek3cky4-anwy5-ny6-ak78/S123aeik4-aiqrw5-n6-ak78

Congratulations! The 2 full-diagonal translation is interesting, too — it disallows true-period ships, but allows odd-denominator reduced speeds.
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

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### Re: Miscellaneous Discoveries in Other Cellular Automata

A for awesome wrote:Congratulations! The 2 full-diagonal translation is interesting, too — it disallows true-period ships, but allows odd-denominator reduced speeds.

Very impressed, wildmyron! It seems that muzik's idea wasn't far-fetched at all!
These spaceships allow things that can't really be described with other normal spaceships, like crossing through:
x = 63, y = 49, rule = B2cek4ejt5aj6c/S123a5i5bo$5bo2$2b2o$4bo3$2o9$62bo$62bo4$57b2o$59bo26$32b2o! Should we consider these spaceships elementary? SoL : FreeElectronics : DeadlyEnemies : 6a-ite what is “sesame oil”? Rhombic Posts: 965 Joined: June 1st, 2013, 5:41 pm ### Re: Miscellaneous Discoveries in Other Cellular Automata They're elementary and engineerable at the same time. I'm kind of torn as to their classification. 2c/n spaceships project Current priorities: see here muzik Posts: 2727 Joined: January 28th, 2016, 2:47 pm Location: Scotland ### Re: Miscellaneous Discoveries in Other Cellular Automata Here's another example, this time with the c/4 version of the tiny diagonal ship. Adjustable speed diagonal ship: c/8n for n>1 x = 28, y = 27, rule = B2cen4i6a/S12aen3r4a5c27bo$27bo4$22bo$23bo$23bo$20b2o2$16bo$16bo3$12bo$13bo$13bo$10b2o3$5bo$5bo2$2bo$3bo$3bo$2o!

works in B2cen4i6a/S12aen3r4a5c - B2-ak3ck4-ry5-q678/S12-k3acekr456-k78

Thank you for the congrats. And thank you Rhombic for your version of the searchRules script - it's particularly useful for this kind of search.
wildmyron

Posts: 753
Joined: August 9th, 2013, 12:45 am

### Re: Miscellaneous Discoveries in Other Cellular Automata

The answer is probably no for small searchable patterns, but could adjustable-slope spaceships exist?

It looks like the rule AforAmpere made uses two different types of cell to move the stationary cells at each side, with one moving the edges orthogonally and the other diagonally, and these can be mixed and matched to give a desired slope.
2c/n spaceships project

Current priorities: see here
muzik

Posts: 2727
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Miscellaneous Discoveries in Other Cellular Automata

muzik wrote:The answer is probably no for small searchable patterns, but could adjustable-slope spaceships exist?

It looks like the rule AforAmpere made uses two different types of cell to move the stationary cells at each side, with one moving the edges orthogonally and the other diagonally, and these can be mixed and matched to give a desired slope.

Possibly, if this other post of his in the same thread is anything to go on.
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

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Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### Re: Miscellaneous Discoveries in Other Cellular Automata

Adjustable speed orthogonal ship: 2c/4n for n>12

x = 3, y = 55, rule = B2cek3n4eijwy5j6i/S02e3ny4n6cbo4$bo$bo2$obo5$o8$bo4$bo$bo2$obo6$o7$bo4$bo$bo2$obo7$o!

works in B2cek3n4eijwy5j6i/S02e3ny4n6c - B2cek3cn4-knrt5-cy6-c78/S02e3ajny4-aci5-j678

This one travels perpendicular to the direction of the small ship - I was actually thinking it would travel parallel to it. I think it's likely we could find one based on this idea:
• Small ship with very low period (p1 or p2)
• works with S0
• supports two interactions with dots:
• push + reflection reaction with dot on one row
• pull + reflection with dot on a different row

Edit:

Also found this 4c/29 orthogonal back rake which can be converted to an adjustable size 4c/29 ship while running a similar search
x = 37, y = 25, rule = B2cek3aer4i5k7e/S01c3y4iz5k834b2o$27bo4b2o2bo$29bo3bobo$27bo4b2o2bo$34b2o6$34b2o$20bo6bo4b2o2bo$29bo3bobo$27bo4b2o2bo$34b2o6$34b2o$o26bo4b2o2bo$29bo3bobo$27bo4b2o2bo$34b2o!
wildmyron

Posts: 753
Joined: August 9th, 2013, 12:45 am

### Re: Miscellaneous Discoveries in Other Cellular Automata

Konghrachuleshuns again to wildmyron!

A rulesrc result:
x = 7, y = 3, rule = B2e3inq4aej5k6k/S1c23aeiqy4-cirw5ceiy6an2o$bo3b2o$2o3b2o!
Last edited by Saka on September 6th, 2017, 7:07 am, edited 1 time in total.
Proud owner and founder of Sakagolue
x = 17, y = 10, rule = B3/S23b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5bo2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo! (Check gen 2) Saka Posts: 2479 Joined: June 19th, 2015, 8:50 pm Location: In the kingdom of Sultan Hamengkubuwono X ### Re: Miscellaneous Discoveries in Other Cellular Automata Rulesrc t+block xq178, diagonal x = 6, y = 3, rule = B3-k4nt5q6ce/S02ack3-cjk4knrtwy5ry6ek8o$2o2b2o$o3b2o! SoL : FreeElectronics : DeadlyEnemies : 6a-ite what is “sesame oil”? Rhombic Posts: 965 Joined: June 1st, 2013, 5:41 pm ### Re: Miscellaneous Discoveries in Other Cellular Automata Here are several more examples of adjustable speed spaceships using the same mechanism as the one above: Orthogonal 2c/4n for n>4 x = 3, y = 49, rule = B2e3-ceny4ain6k/S01c2cek3ijnq4ano2$bo$obo3$bo14$o3$bo$obo3$bo13$o4$bo$obo3$bo!

works in B2e3-ceny4ain6k/S01c2cek3ijnq4an - B2ein3-eny4-r5-in678/S01c2-a3-aer4-ijr5-in6-c78

Orthogonal 2c/(4n+2) for n>4
x = 3, y = 51, rule = B2-ak3ejny4kz/S01c2ae3r5ko2$bo$obo5$bo12$o3$bo$obo5$bo11$o4$bo$obo5$bo! works in B2-ak3ejny4kz/S01c2ae3r5k - B2-ak3ejkny4-ajnr5-acik678/S01c2aei3kqry4-ajr5-ry6-k78 Orthogonal 2c/4n for n>6 x = 5, y = 49, rule = B2ik3ai4ae5ay6i/S01e2ck4r5aq6kbo2$2bo$o3bo3$2bo14$bo3$2bo$o3bo3$2bo13$bo4$2bo$o3bo3$2bo!

works in B2ik3ai4ae5ay6i/S01e2ck4r5aq6k - B2ikn3aiknr4-ir5-ci678/S01e2ckn3-aijr4-aeinw5-ceir6-a78
Last edited by wildmyron on September 6th, 2017, 11:40 am, edited 1 time in total.
wildmyron

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Joined: August 9th, 2013, 12:45 am

### Re: Miscellaneous Discoveries in Other Cellular Automata

First one seems to be explosive, depressingly enough.

I should probably create a thread for discussion of these rules.
2c/n spaceships project

Current priorities: see here
muzik

Posts: 2727
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Miscellaneous Discoveries in Other Cellular Automata

c/28d
x = 6, y = 3, rule = B2ek3ciy4aeqtw5-ciny6aik/S01c2-in4q5aceiq6-in7c2o3bo$bo$2o!

2c/96
x = 8, y = 3, rule = B2ek3aeir4-acint5aejkq6i7/S01c2-in3ceijk4qrtw5ejy6ekn7e2o5bo$bo$2o!

c/8
x = 4, y = 3, rule = B2cen3ae4eikqz5ceir6ek/S03kqr4qr5c7co2bo2$o! Proud owner and founder of Sakagolue x = 17, y = 10, rule = B3/S23b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5bo2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!

(Check gen 2)

Saka

Posts: 2479
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

### Re: Miscellaneous Discoveries in Other Cellular Automata

A minor result to report: In the 8-cell extended von Neumann neighborhood, all non-exploding outer-totalistic rules that can contain spaceships must necessarily have B2 and neither of B01. I created rule tables for B2/S and B2/S0 and determined that both are explosive, and so it seems unlikely that any of these rules is non-exploding and still supports spaceships. NOTE: This says nothing about isotropic non-totalistic rules or even radius-dependent totalistic rules.

For reference, here are the rule tables:
@RULE B2SEN8@TABLEn_states:33neighborhood:vonNeumannsymmetries:nonevar a={0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32}var aa=avar ab=avar ac=avar ad=avar lon={18,20,22,24,26,28,30,32}var loff={17,19,21,23,25,27,29,31}var nlon={2,4,6,8,10,12,14,16}var nloff={0,3,5,7,9,11,13,15}var ron={6,8,14,16,22,24,30,32}var roff={5,7,13,15,21,23,29,31}var nron={2,4,10,12,18,20,26,28}var nroff={0,3,9,11,17,19,25,27}var uon={4,8,12,16,20,24,28,32}var uoff={3,7,11,15,19,23,27,31}var nuon={2,6,10,14,18,22,26,30}var nuoff={0,5,9,13,17,21,25,29}var don={10,12,14,16,26,28,30,32}var doff={9,11,13,15,25,27,29,31}var ndon={2,4,6,8,18,20,22,24}var ndoff={0,3,5,7,17,19,21,23}var off={loff,nloff}var on={lon,nlon}0,0,0,0,0,01,0,0,0,0,20,1,0,0,0,31,1,0,0,0,40,0,1,0,0,51,0,1,0,0,60,1,1,0,0,71,1,1,0,0,80,0,0,1,0,91,0,0,1,0,100,1,0,1,0,111,1,0,1,0,120,0,1,1,0,131,0,1,1,0,140,1,1,1,0,151,1,1,1,0,160,0,0,0,1,171,0,0,0,1,180,1,0,0,1,191,1,0,0,1,200,0,1,0,1,211,0,1,0,1,220,1,1,0,1,231,1,1,0,1,240,0,0,1,1,251,0,0,1,1,260,1,0,1,1,271,1,0,1,1,280,0,1,1,1,291,0,1,1,1,300,1,1,1,1,311,1,1,1,1,32off,nuoff,nroff,ndoff,lon,1off,nuoff,nroff,doff,loff,1off,nuoff,nroff,ndon,loff,1off,nuoff,roff,ndoff,loff,1off,nuoff,nron,ndoff,loff,1off,uoff,nroff,ndoff,loff,1off,nuon,nroff,ndoff,loff,1off,nuoff,nroff,doff,nlon,1off,nuoff,nroff,ndon,nlon,1off,nuoff,roff,ndoff,nlon,1off,nuoff,nron,ndoff,nlon,1off,uoff,nroff,ndoff,nlon,1off,nuon,nroff,ndoff,nlon,1off,nuoff,nroff,don,nloff,1off,nuoff,roff,doff,nloff,1off,nuoff,nron,doff,nloff,1off,uoff,nroff,doff,nloff,1off,nuon,nroff,doff,nloff,1off,nuoff,roff,ndon,nloff,1off,nuoff,nron,ndon,nloff,1off,uoff,nroff,ndon,nloff,1off,nuon,nroff,ndon,nloff,1off,nuoff,ron,ndoff,nloff,1off,uoff,roff,ndoff,nloff,1off,nuon,roff,ndoff,nloff,1off,uoff,nron,ndoff,nloff,1off,nuon,nron,ndoff,nloff,1off,uon,nroff,ndoff,nloff,1a,aa,ab,ac,ad,0@COLORS0 30 30 301 225 225 2252 100 100 1003 100 100 1004 100 100 1005 100 100 1006 100 100 1007 100 100 1008 100 100 1009 100 100 10010 100 100 10011 100 100 10012 100 100 10013 100 100 10014 100 100 10015 100 100 10016 100 100 10017 100 100 10018 100 100 10019 100 100 10020 100 100 10021 100 100 10022 100 100 10023 100 100 10024 100 100 10025 100 100 10026 100 100 10027 100 100 10028 100 100 10029 100 100 10030 100 100 10031 100 100 10032 100 100 100
@RULE B2S0EN8@TABLEn_states:33neighborhood:vonNeumannsymmetries:nonevar a={0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32}var aa=avar ab=avar ac=avar ad=avar lon={18,20,22,24,26,28,30,32}var loff={17,19,21,23,25,27,29,31}var nlon={2,4,6,8,10,12,14,16}var nloff={0,3,5,7,9,11,13,15}var ron={6,8,14,16,22,24,30,32}var roff={5,7,13,15,21,23,29,31}var nron={2,4,10,12,18,20,26,28}var nroff={0,3,9,11,17,19,25,27}var uon={4,8,12,16,20,24,28,32}var uoff={3,7,11,15,19,23,27,31}var nuon={2,6,10,14,18,22,26,30}var nuoff={0,5,9,13,17,21,25,29}var don={10,12,14,16,26,28,30,32}var doff={9,11,13,15,25,27,29,31}var ndon={2,4,6,8,18,20,22,24}var ndoff={0,3,5,7,17,19,21,23}var off={loff,nloff}var on={lon,nlon}0,0,0,0,0,01,0,0,0,0,20,1,0,0,0,31,1,0,0,0,40,0,1,0,0,51,0,1,0,0,60,1,1,0,0,71,1,1,0,0,80,0,0,1,0,91,0,0,1,0,100,1,0,1,0,111,1,0,1,0,120,0,1,1,0,131,0,1,1,0,140,1,1,1,0,151,1,1,1,0,160,0,0,0,1,171,0,0,0,1,180,1,0,0,1,191,1,0,0,1,200,0,1,0,1,211,0,1,0,1,220,1,1,0,1,231,1,1,0,1,240,0,0,1,1,251,0,0,1,1,260,1,0,1,1,271,1,0,1,1,280,0,1,1,1,291,0,1,1,1,300,1,1,1,1,311,1,1,1,1,32off,nuoff,nroff,ndoff,lon,1off,nuoff,nroff,doff,loff,1off,nuoff,nroff,ndon,loff,1off,nuoff,roff,ndoff,loff,1off,nuoff,nron,ndoff,loff,1off,uoff,nroff,ndoff,loff,1off,nuon,nroff,ndoff,loff,1off,nuoff,nroff,doff,nlon,1off,nuoff,nroff,ndon,nlon,1off,nuoff,roff,ndoff,nlon,1off,nuoff,nron,ndoff,nlon,1off,uoff,nroff,ndoff,nlon,1off,nuon,nroff,ndoff,nlon,1off,nuoff,nroff,don,nloff,1off,nuoff,roff,doff,nloff,1off,nuoff,nron,doff,nloff,1off,uoff,nroff,doff,nloff,1off,nuon,nroff,doff,nloff,1off,nuoff,roff,ndon,nloff,1off,nuoff,nron,ndon,nloff,1off,uoff,nroff,ndon,nloff,1off,nuon,nroff,ndon,nloff,1off,nuoff,ron,ndoff,nloff,1off,uoff,roff,ndoff,nloff,1off,nuon,roff,ndoff,nloff,1off,uoff,nron,ndoff,nloff,1off,nuon,nron,ndoff,nloff,1off,uon,nroff,ndoff,nloff,1on,nuoff,nroff,ndoff,nloff,1a,aa,ab,ac,ad,0@COLORS0 30 30 301 225 225 2252 100 100 1003 100 100 1004 100 100 1005 100 100 1006 100 100 1007 100 100 1008 100 100 1009 100 100 10010 100 100 10011 100 100 10012 100 100 10013 100 100 10014 100 100 10015 100 100 10016 100 100 10017 100 100 10018 100 100 10019 100 100 10020 100 100 10021 100 100 10022 100 100 10023 100 100 10024 100 100 10025 100 100 10026 100 100 10027 100 100 10028 100 100 10029 100 100 10030 100 100 10031 100 100 10032 100 100 100

This p6 is the most interesting thing I've found in either rule:
x = 6, y = 5, rule = B2SEN83.A2$2A2.2A2$2.A!
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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Aidan F. Pierce

A for awesome

Posts: 1611
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1

### Re: Miscellaneous Discoveries in Other Cellular Automata

Saka wrote:c/28d
x = 6, y = 3, rule = B2ek3ciy4aeqtw5-ciny6aik/S01c2-in4q5aceiq6-in7c2o3bo$bo$2o!

2c/96
x = 8, y = 3, rule = B2ek3aeir4-acint5aejkq6i7/S01c2-in3ceijk4qrtw5ejy6ekn7e2o5bo$bo$2o!

c/8
x = 4, y = 3, rule = B2cen3ae4eikqz5ceir6ek/S03kqr4qr5c7co2bo2$o! Think I like the first one the most. Life is hard. Deal with it. Pattern of the month (September 2017): #C [[ AUTOFIT ]]x = 7, y = 9, rule = B34tw/S232o$2o$4b2o$6bo$3bo2bo$6bo$4b2o$2o$2o! Hdjensofjfnen Posts: 383 Joined: March 15th, 2016, 6:41 pm Location: (394234, -234231) ### Re: Miscellaneous Discoveries in Other Cellular Automata A for awesome wrote:In the 8-cell extended von Neumann neighborhood, all non-exploding outer-totalistic rules that can contain spaceships must necessarily have B2 and neither of B01. What's the neighborhood for the 8-cell extended von Neumann neighborhood? Is it the cross-shape neighborhood that I exhaustively enumerated, thinking it was the extended von Neumann neighborhood? This rake is great, but the rule is explosive: x = 2, y = 3, rule = B2i3-y5e6ci/S2-i3-eo$2o$o! x = 4, y = 3, rule = B2i3-y5e6ci/S2-i3-e2o$ob2o$2bo! I have the best signature ever. toroidalet Posts: 858 Joined: August 7th, 2016, 1:48 pm Location: Somewhere on a planet called "Earth" ### Re: Miscellaneous Discoveries in Other Cellular Automata toroidalet wrote:What's the neighborhood for the 8-cell extended von Neumann neighborhood? Is it the cross-shape neighborhood that I exhaustively enumerated, thinking it was the extended von Neumann neighborhood? Yes. I don't know that what I called it is the correct term, though. I would say it does classify as an extended von Neumann neighborhood, although it's not the canonical way of extending it. 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: 1611 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 ### Re: Miscellaneous Discoveries in Other Cellular Automata P92 HWSS gun in Rhombic's Omnipotens rule: x = 31, y = 16, rule = Omnipotens14.2A$6.2B5.A.A$5.B.B5.A$4.B8.3A$3.B25.B$3.2B23.B.B$29.B$2B11.3A$2B11.A$13.A.A$14.2A$9.2B$9.2B$2.B$2.B$2.B!
Could be bumped down to p46 with some way to edgeshoot the bi-blocks from the left (w/o the leftmost state-2 block)
M. I. Wright

Posts: 346
Joined: June 13th, 2015, 12:04 pm

### Re: Miscellaneous Discoveries in Other Cellular Automata

M. I. Wright wrote:P92 HWSS gun in Rhombic's Omnipotens rule:
x = 31, y = 16, rule = Omnipotens14.2A$6.2B5.A.A$5.B.B5.A$4.B8.3A$3.B25.B$3.2B23.B.B$29.B$2B11.3A$2B11.A$13.A.A$14.2A$9.2B$9.2B$2.B$2.B$2.B! Could be bumped down to p46 with some way to edgeshoot the bi-blocks from the left (w/o the leftmost state-2 block) A tad more leftward clearance, but it's still not enough to, say, construct the bi-block trivially with gliders. x = 31, y = 16, rule = Omnipotens14.2A$5.B.B5.A.A$4.B.2B5.A$4.B8.3A$3.2B24.B$28.B.B$29.B$2B11.3A$2B11.A$13.A.A$14.2A$9.2B$9.2B2$2.2B\$2.2B!
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