## B36a/S2-i34t5e -- its potential probably comparable to tLife

For discussion of other cellular automata.
Rhombic
Posts: 1057
Joined: June 1st, 2013, 5:41 pm

### B36a/S2-i34t5e -- its potential probably comparable to tLife

This rule also contains a xp276 that is identical to the minimal phase of the tLife xp160: 7v.

Code: Select all

x = 2, y = 5, rule = B36a/S2-i34t5e
2o$2o$2o$bo$bo!

It can be arranged to give two different p276 glider guns!

Code: Select all

x = 16, y = 16, rule = B36a/S2-i34t5e
oooooooboooobobb$bbbobboobbboboob$
ooobbooobbbobboo$boobboobbooboobo$
bbboobooooboboob$bbboobobobobbboo$
ooobooobobbooobb$bboboobbbboooobo$
oooobbbbboboooob$ooobboobobbboooo$
ooboboboobbbbobo$obbobooobooooboo$
bobbbooboobooobo$ooboobbbbbbobobo$
boboobbbbooobbbb$bbboobooooobobbo! Code: Select all x = 14, y = 22, rule = B36a/S2-i34t5e b2o2bo$obo$3bobo$obo$bo6$5bo$5bobo$5b2o4$11bo$10b3o$9b2obo$8bobo$9bo!  Also features naturally-occurring oscillators of periods 2, 4, 5, 6 and 10. Gun-based p1932 Code: Select all x = 64, y = 20, rule = B36a/S2-i34t5e 7b3o$2o7bo$obo$o2bo3b2o50b2o2bo$b2o55bobo$61bobo$58bobo$59bo3$46b2o$
46bo2bo$13bobo30bo2bo$12bo3bo$13bob2o$14bo$49bo$14bobo31bobo$47bo2bo$
47b3o!

Surreal, two different beehive+G --> G

Code: Select all

x = 13, y = 13, rule = B36a/S2-i34t5e
bo$2bo$3o3$6b2o$5bo2bo$6b2o2$11bo$10bobo$10bobo$11bo!  90º reflector: Code: Select all x = 10, y = 8, rule = B36a/S2-i34t5e bo$2bo$3o2$8b2o$8b2o$3b2o$3b2o!  Last edited by Rhombic on May 15th, 2017, 1:04 pm, edited 2 times in total. SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI what is “sesame oil”? A for awesome Posts: 1942 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 Contact: ### Re: B36a/S2-i34t5e -- its potential probably comparable to tLife Rhombic wrote:A funny glider-reflecting reaction with a ridiculously simple spark (advance a few ticks to see how small the spark needed actually is): Code: Select all x = 7, y = 9, rule = B36a/S2-i34t5e 5bo$4bo$4b3o3$2o$3b2o$o$bobo!  Code: Select all x = 5, y = 7, rule = B3/S23 3bo$2bo$2b3o2$bo$o$o!

Works in Life.
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

Rhombic
Posts: 1057
Joined: June 1st, 2013, 5:41 pm

### Re: B36a/S2-i34t5e -- its potential probably comparable to tLife

A for awesome wrote:
Rhombic wrote:A funny glider-reflecting reaction with a ridiculously simple spark (advance a few ticks to see how small the spark needed actually is):

Code: Select all

x = 7, y = 9, rule = B36a/S2-i34t5e
5bo$4bo$4b3o3$2o$3b2o$o$bobo!


Code: Select all

x = 5, y = 7, rule = B3/S23
3bo$2bo$2b3o2$bo$o$o!  Works in Life. Oops!! In that case... apart from that faux pas, the rest still holds true BTW, the semi-di-MWSS works in this rule too, found in D2_+1 soup: Code: Select all x = 5, y = 9, rule = B36a/S2-i34t5e 5o$bo2bo$4bo$b3o2$b3o$4bo$bo2bo$5o!

3G synthesis of p276

Code: Select all

x = 9, y = 14, rule = B36a/S2-i34t5e
bo$2bo$3o3$6bo$4bobo$5b2o4$6b2o$7b2o$6bo!

The di-teardrop xq8 spaceship works in the rule and has been found in many D2_+2 soups. Example:

Code: Select all

x = 16, y = 32, rule = B36a/S2-i34t5e
boobobooooboobbb$ooboboboooooobob$
booboooboobobobo$boobobbobobobboo$
bbbobobooobbbobo$boooboobbobobbob$
booobobobbbobboo$bboooooooobooooo$
oobobbobooobbbbb$boobobobbooooooo$
obobobobooobbbbo$bobboobbbbobbbbb$
bbbboooboboooobo$bobboobbbobbbboo$
booooboobobboboo$bbbobbooobooooob$
bbbobbooobooooob$booooboobobboboo$
bobboobbbobbbboo$bbbboooboboooobo$
bobboobbbbobbbbb$obobobobooobbbbo$
boobobobbooooooo$oobobbobooobbbbb$
bboooooooobooooo$booobobobbbobboo$
boooboobbobobbob$bbbobobooobbbobo$
boobobbobobobboo$booboooboobobobo$
2o$3o5bobo12b3o$2bo7bo12bo$bo22bo!  Still drifting. Rhombic Posts: 1057 Joined: June 1st, 2013, 5:41 pm ### Re: B36a/S2-i34t5e -- its potential probably comparable to tLife 3G carrier, one of the glider+block collisions: Code: Select all x = 5, y = 7, rule = B36a/S2-i34t5e 3b2o$3b2o3$bo$b2o$obo!  2G double carrier: Code: Select all x = 16, y = 11, rule = B36a/S2-i34t5e 14bo$13bo$13b3o6$3o$2bo$bo!

4G p276, very unoptimised:

Code: Select all

x = 12, y = 12, rule = B36a/S2-i34t5e
4bo$2bobo$3b2o3$8b2o$8bo2bo$10b2o$5b2o$b2o2bo2bo$obo4b2o$2bo!  SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI what is “sesame oil”? BlinkerSpawn Posts: 1929 Joined: November 8th, 2014, 8:48 pm Location: Getting a snacker from R-Bee's ### Re: B36a/S2-i34t5e -- its potential probably comparable to tLife Rhombic wrote:4G p276, very unoptimised: Code: Select all x = 12, y = 12, rule = B36a/S2-i34t5e 4bo$2bobo$3b2o3$8b2o$8bo2bo$10b2o$5b2o$b2o2bo2bo$obo4b2o$2bo!

Twosided edgy 3G:

Code: Select all

x = 15, y = 8, rule = B36a/S2-i34t5e
8bobo$9b2o2b2o$9bo2bobo$14bo2$bo$b2o$obo!

EDIT: Wait, you already have a 3G synthesis.
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

AbhpzTa
Posts: 478
Joined: April 13th, 2016, 9:40 am
Location: Ishikawa Prefecture, Japan

### Re: B36a/S2-i34t5e -- its potential probably comparable to tLife

Rhombic wrote:3G carrier, one of the glider+block collisions:

Code: Select all

x = 5, y = 7, rule = B36a/S2-i34t5e
3b2o$3b2o3$bo$b2o$obo!

2G carrier, also in B36/S23:

Code: Select all

x = 6, y = 6, rule = B36a/S2-i34t5e
4b2o$3b2o$5bo$3o$2bo$bo! Bullet51 wrote:We probably need some edge-shooters. Code: Select all x = 26, y = 16, rule = B36a_S2-i34t5e 3bo18bo$bobo18bobo$2b2o18b2o6$4bo16bo$5bo7b2o5bo$3b3o7bobo4b3o$13bo$9b
2o$3o5bobo12b3o$2bo7bo12bo$bo22bo!  p276 diteardrop gun: Code: Select all x = 55, y = 55, rule = B36a/S2-i34t5e 43bo$46bo$47bo$39b2o3bo2bo$39bo6b2o$40b2o$41bo4bo2$30b3o9bobo$29bo3bo$
34bo$30bo3bo$31bob2o$32b2o$32bo18bo$4b2o23b3o18b4o$3bobo24bo18bo$2bo 47bo3bo$2bo40bo$4b2o36bo8b3o$43bo4$43bo$42bobo$bo39bo3bo$o3bo36bo2bo$b o3bo38bo$5bo33bo3bo$2bo39bo$2b3o34b3o8$6bo24bo$5b3o22b3o$4bo2bo22bo2bo$4b2o26b2o8$40b2o$20b2o16bo2bo$20bobobobo11bobo$21bo3b2o11b3o$22bo! Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) : 965808 is period 336 (max = 207085118608). Rhombic Posts: 1057 Joined: June 1st, 2013, 5:41 pm ### Re: B36a/S2-i34t5e -- its potential probably comparable to tLife (corollary) - Is a concerted synthesis of two xp276 good enough to make the guns needed for 1) glider guns 2) diteardrop gun? (main question) - Is 6G the cheapest synth for a glider gun? --- slow salvo (or 3G) xp276 Code: Select all x = 8, y = 9, rule = B36a/S2-i34t5e 6b2o$7bo$5bo$5b2o3$b2o$obo$2bo!  SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI what is “sesame oil”? Rhombic Posts: 1057 Joined: June 1st, 2013, 5:41 pm ### Re: B36a/S2-i34t5e -- its potential probably comparable to tLife Hook with tail, and equivalent formations, functions as an eater: Code: Select all x = 5, y = 9, rule = B36a/S2-i34t5e bo$2bo$3o3$2bobo$bob2o$bo$2o!  SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI what is “sesame oil”? AbhpzTa Posts: 478 Joined: April 13th, 2016, 9:40 am Location: Ishikawa Prefecture, Japan ### Re: B36a/S2-i34t5e -- its potential probably comparable to tLife Rhombic wrote:(main question) - Is 6G the cheapest synth for a glider gun? No. 5G synthesis: Code: Select all x = 95, y = 173, rule = B36a/S2-i34t5e bo$2bo$3o103$94bo$92b2o$93b2o2$92bo$93bo$91b3o40$41b2o$42b2o$41bo17$43b3o$45bo$44bo! EDIT: 4G synthesis for another glider gun: Code: Select all x = 89, y = 73, rule = B36a/S2-i34t5e 86bo$86bobo$86b2o50$2bo$obo$b2o15$14bo$14bobo2bo$14b2o2b2o$18bobo!
Some 3-4G syntheses:

Code: Select all

x = 274, y = 244, rule = B36a/S2-i34t5e
9bo56bo$9bobo52b2o$9b2o54b2o17$bo4bo$2bob2o$3o2b2o2$30bo$30bobo2bo$30b
2o2b2o$34bobo74$35bobo24bo57bo96bo$35b2o23bobo57bobo92b2o$36bo24b2o57b
2o2b2o90b2o$124bobo$124bo4$192bo$133b3o54b2o$133bo57b2o$134bo$10bo$10b
obo$10b2o15$4bobo$2o2b2o$obo2bo$o2$173bo$171b2o$97bo74b2o$95b2o$96b2o
73bo$172bo$170b3o3$96bo$97b2o51b2o$96b2o51b2o$151bo$98bo$97bo$97b3o21$
o69bo81bo78bo$b2o68b2o77b2o74bo2bobo$2o68b2o79b2o73b2o2b2o$140bo84bobo$141b2o$140b2o6$150bo$145bo3bo$146b2ob3o$145b2o15$103bo$104b2o$103b2o
8$118bo$119b2o$118b2o50b3o$172bo$120bo50bo$119bo$119b3o8$272bo$271b2o$
271bobo10$38bo$38b2o$37bobo13b3o$53bo$54bo2$51b3o$53bo$52bo!
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).

Rhombic
Posts: 1057
Joined: June 1st, 2013, 5:41 pm

### Re: B36a/S2-i34t5e -- its potential probably comparable to tLife

Somewhat unexpected eater for the diteardrop:

Code: Select all

x = 12, y = 10, rule = B36a/S2-i34t5e
5b2o$4bo2bo$4bo2bo$5b2o3$b3o4b3o$o2bo4bo2bo$o2bo4bo2bo$b2o6b2o!  The cap also works but is phase-dependent: Code: Select all x = 12, y = 10, rule = B36a/S2-i34t5e 5b2o$4b4o$4bo2bo$5b2o3$b3o4b3o$o2bo4bo2bo$o2bo4bo2bo$b2o6b2o!

EDIT:
AbhpzTa, I've always wondered, what script do you use to find some of your syntheses and strung-together-puffer spaceships? I've seen some remarkably surprising syntheses stemming from weird still life seeds that I can only imagine as coming from the output of some script!!
SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI
what is “sesame oil”?

AbhpzTa
Posts: 478
Joined: April 13th, 2016, 9:40 am
Location: Ishikawa Prefecture, Japan

### Re: B36a/S2-i34t5e -- its potential probably comparable to tLife

Rhombic wrote:EDIT:
AbhpzTa, I've always wondered, what script do you use to find some of your syntheses and strung-together-puffer spaceships? I've seen some remarkably surprising syntheses stemming from weird still life seeds that I can only imagine as coming from the output of some script!!
Only copying/cutting/pasting... etc.
Anyway, I've never used any script for searching yet.

EDIT: 21G synth for a diteardrop gun:

Code: Select all

x = 1296, y = 1238, rule = B36a/S2-i34t5e
219bo$217bobo$218b2o136$700bo$700bobo$700b2o23$796bo$795bo$795b3o181$979bobo$979b2o$980bo123$855bo$853b2o$854b2o4$313bo$314b2o$313b2o66$
1056bo$1056bobo$1056b2o2$382bo$383b2o$382b2o281$683b2o$683bobo$683bo2$bo$b2o$obo66$752b2o$752bobo$752bo21$778b3o$778bo$779bo2$27b2o$28b2o$
27bo66$847b3o$847bo$848bo25$849b3o$849bo$850bo42$235b2o$234bobo$236bo 2$1294bo$1293b2o$1293bobo60$189b2o$190b2o$189bo4$166b2o$165bobo$167bo
15$981b3o$981bo$982bo74$365b2o$366b2o$365bo!
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).

Rhombic
Posts: 1057
Joined: June 1st, 2013, 5:41 pm

### Re: B36a/S2-i34t5e -- its potential probably comparable to tLife

New 2c/5 (with ntzfind):

Code: Select all

x = 19, y = 55, rule = B36a/S2-i34t5e
2bo13bo$b4o9b4o$2o3b2ob3ob2o3b2o$2o5b2ob2o5b2o$b2obobo5bobob2o$b2o13b 2o$5b2o5b2o$5b2obobob2o$4bobobobobobo$5bobo3bobo$2bo3bo5bo3bo$b3obo2b 3o2bob3o$4bo9bo$b2o3b2obob2o3b2o$6b2obob2o$7b5o$7bo3bo$5bo7bo$5bo2bobo
2bo$7bo3bo$6bo5bo$4bobo5bobo$4bo9bo$2bo2bo7bo2bo$2bobo9bobo2$b2ob2o7b 2ob2o$o3bo9bo3bo$obo2bo7bo2bobo$5bo7bo$4b2o7b2o$3bo11bo$bobob2o5b2obob o$2bob3o5b3obo$bob13obo$bob2o9b2obo$b3o2bob3obo2b3o$5bo7bo$4b2obo3bob 2o$3b2obo5bob2o$3bob3o3b3obo$3b6ob6o$4bo9bo$2b3o3b3o3b3o$b2obo2bo3bo2b ob2o$bobo2bobobobo2bobo$2bo2b2obobob2o2bo$4b2o2bobo2b2o2$3b2o3bobo3b2o$4bo3bobo3bo$3b2o2bo3bo2b2o$5bo2bobo2bo$5bo2bobo2bo$6bobobobo!

Best 3c/7 partial:

Code: Select all

x = 20, y = 28, rule = B36a/S2-i34t5e
3bo12bo$2bobo10bobo$b2ob2o8b2ob2o$b2o4b6o4b2o$2o5bo4bo5b2o$b2o14b2o$2b
2o3bob2obo3b2o$6b2o4b2o$3b2o2b2o2b2o2b2o$5bob2o2b2obo$3bo2b2o4b2o2bo$6b2o4b2o$5bobo4bobo$5b3o4b3o$5b2o6b2o$3bo3bo4bo3bo$3b5o4b5o$4bobo6bobo$7bo4bo$7bob2obo$2o5bob2obo5b2o$o2b3o2bo2bo2b3o2bo$4bo2b6o2bo$6b8o$2bo
14bo$2b2o3bo4bo3b2o$4b2ob6ob2o$bo2b4o4b4o2bo!  2c/5 tagalong: Code: Select all x = 19, y = 67, rule = B36a/S2-i34t5e b4o9b4o$bo4bo2bo2bo4bo$3bo2b3ob3o2bo$3bob2obobob2obo$3bo3bo3bo3bo$2b4o
7b4o$2b6o3b6o$4bob2o3b2obo$4b2o7b2o$2bo13bo$bo5b2ob2o5bo$bo7bo7bo$2bo 4bo3bo4bo$4bo2b2ob2o2bo$6bobobobo2$6b3ob3o$5b2o5b2o$5b2o5b2o2$5bobo3bo bo$4b3o5b3o$3b3o7b3o$5bo7bo$2b2o11b2o$bo3bo7bo3bo$o2bo11bo2bo$obo13bob
o$bob2obo5bob2obo$6bo5bo$3b2o9b2o$2b2o2bo5bo2b2o$3bo3bobobo3bo$2bo4b2o
b2o4bo$b2o5b3o5b2o$2o15b2o$2obo2bob3obo2bob2o$3bo2bo5bo2bo$3bo2b7o2bo$
2b2o11b2o$2b2o3bo3bo3b2o$3bo3bo3bo3bo$bo3bobo3bobo3bo$bo5bo3bo5bo$2o5b 2ob2o5b2o$bo4bo5bo4bo$2bo3bo5bo3bo$2bo4bo3bo4bo$3bo11bo$3bob2o5b2obo$5bob2ob2obo$4bo9bo$8bobo$5bo2bobo2bo$6bo5bo2$6b3ob3o$6bobobobo$4bo3bob
o3bo$4b4o3b4o$7bo3bo$5bo7bo$5b9o$4bo2b2ob2o2bo$4b2o7b2o$4bo2bo3bo2bo$
4b4o3b4o!

EDIT: two new c/3

Code: Select all

x = 30, y = 13, rule = B36a/S2-i34t5e
3bo12bo8bo$2bobob2o7bo2bo4bo2bo$bo4b2o6b2o2b6o2b2o$o2b2o3bo3bobo12bobo$14bo4b4o4bo$2b2o10bo12bo$bobo10bo12bo$bo$3o10b2o12b2o$o$15bo10bo$13b 2o12b2o$13bobo10bobo!

I'd like to name the small asymmetric one the "barnacle" because it looks like an active region stuck onto a boat!
SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI
what is “sesame oil”?