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

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

Postby Rhombic » May 8th, 2017, 2:30 pm

This rule also contains a xp276 that is identical to the minimal phase of the tLife xp160: 7v.
x = 2, y = 5, rule = B36a/S2-i34t5e
2o$2o$2o$bo$bo!


It can be arranged to give two different p276 glider guns!
x = 16, y = 16, rule = B36a/S2-i34t5e
oooooooboooobobb$
bbbobboobbboboob$
ooobbooobbbobboo$
boobboobbooboobo$
bbboobooooboboob$
bbboobobobobbboo$
ooobooobobbooobb$
bboboobbbboooobo$
oooobbbbboboooob$
ooobboobobbboooo$
ooboboboobbbbobo$
obbobooobooooboo$
bobbbooboobooobo$
ooboobbbbbbobobo$
boboobbbbooobbbb$
bbboobooooobobbo!

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
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
x = 13, y = 13, rule = B36a/S2-i34t5e
bo$2bo$3o3$6b2o$5bo2bo$6b2o2$11bo$10bobo$10bobo$11bo!


90º reflector:
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.
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Re: B36a/S2-i34t5e -- its potential probably comparable to tLife

Postby A for awesome » May 8th, 2017, 3:51 pm

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

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

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

Postby Rhombic » May 9th, 2017, 6:07 am

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

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 :P
BTW, the semi-di-MWSS works in this rule too, found in D2_+1 soup:
x = 5, y = 9, rule = B36a/S2-i34t5e
5o$bo2bo$4bo$b3o2$b3o$4bo$bo2bo$5o!


3G synthesis of p276
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:
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$
ooboboboooooobob$
boobobooooboobbb!

x = 8, y = 9, rule = B36a/S2-i34t5e
bo$2bo$3o3b2o$6b2o3$b2o$b2o3b2o$6b2o!
Last edited by Rhombic on May 18th, 2017, 7:10 pm, edited 1 time in total.
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Re: B36a/S2-i34t5e -- its potential probably comparable to tLife

Postby Bullet51 » May 9th, 2017, 11:27 pm

We probably need some edge-shooters.
x = 26, y = 16, rule = B36a_S2-i34t5e
3bo18bo$bobo18bobo$2b2o18b2o6$4bo16bo$5bo7b2o5bo$3b3o7bobo4b3o$13bo$9b
2o$3o5bobo12b3o$2bo7bo12bo$bo22bo!
Still drifting.
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Re: B36a/S2-i34t5e -- its potential probably comparable to tLife

Postby Rhombic » May 11th, 2017, 6:54 am

3G carrier, one of the glider+block collisions:
x = 5, y = 7, rule = B36a/S2-i34t5e
3b2o$3b2o3$bo$b2o$obo!


2G double carrier:
x = 16, y = 11, rule = B36a/S2-i34t5e
14bo$13bo$13b3o6$3o$2bo$bo!


4G p276, very unoptimised:
x = 12, y = 12, rule = B36a/S2-i34t5e
4bo$2bobo$3b2o3$8b2o$8bo2bo$10b2o$5b2o$b2o2bo2bo$obo4b2o$2bo!
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Re: B36a/S2-i34t5e -- its potential probably comparable to tLife

Postby BlinkerSpawn » May 11th, 2017, 8:26 am

Rhombic wrote:4G p276, very unoptimised:
x = 12, y = 12, rule = B36a/S2-i34t5e
4bo$2bobo$3b2o3$8b2o$8bo2bo$10b2o$5b2o$b2o2bo2bo$obo4b2o$2bo!

Twosided edgy 3G:
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]
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Re: B36a/S2-i34t5e -- its potential probably comparable to tLife

Postby AbhpzTa » May 11th, 2017, 5:20 pm

Rhombic wrote:3G carrier, one of the glider+block collisions:
x = 5, y = 7, rule = B36a/S2-i34t5e
3b2o$3b2o3$bo$b2o$obo!

2G carrier, also in B36/S23:
x = 6, y = 6, rule = B36a/S2-i34t5e
4b2o$3b2o$5bo$3o$2bo$bo!


Bullet51 wrote:We probably need some edge-shooters.
x = 26, y = 16, rule = B36a_S2-i34t5e
3bo18bo$bobo18bobo$2b2o18b2o6$4bo16bo$5bo7b2o5bo$3b3o7bobo4b3o$13bo$9b
2o$3o5bobo12b3o$2bo7bo12bo$bo22bo!

p276 diteardrop gun:
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).
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Re: B36a/S2-i34t5e -- its potential probably comparable to tLife

Postby Rhombic » May 15th, 2017, 10:09 am

(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
x = 8, y = 9, rule = B36a/S2-i34t5e
6b2o$7bo$5bo$5b2o3$b2o$obo$2bo!
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Re: B36a/S2-i34t5e -- its potential probably comparable to tLife

Postby Rhombic » May 16th, 2017, 6:28 am

Hook with tail, and equivalent formations, functions as an eater:
x = 5, y = 9, rule = B36a/S2-i34t5e
bo$2bo$3o3$2bobo$bob2o$bo$2o!
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Re: B36a/S2-i34t5e -- its potential probably comparable to tLife

Postby AbhpzTa » May 16th, 2017, 12:27 pm

Rhombic wrote:(main question) - Is 6G the cheapest synth for a glider gun?


No.
5G synthesis:
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:
x = 89, y = 73, rule = B36a/S2-i34t5e
86bo$86bobo$86b2o50$2bo$obo$b2o15$14bo$14bobo2bo$14b2o2b2o$18bobo!


Some 3-4G syntheses:
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).
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Re: B36a/S2-i34t5e -- its potential probably comparable to tLife

Postby Rhombic » May 18th, 2017, 1:37 pm

Somewhat unexpected eater for the diteardrop:
x = 12, y = 10, rule = B36a/S2-i34t5e
5b2o$4bo2bo$4bo2bo$5b2o3$b3o4b3o$o2bo4bo2bo$o2bo4bo2bo$b2o6b2o!

The cap also works but is phase-dependent:
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!!
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Re: B36a/S2-i34t5e -- its potential probably comparable to tLife

Postby AbhpzTa » May 22nd, 2017, 9:44 am

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:
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).
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