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tlife (B3/S2-i34q)

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tlife (B3/S2-i34q)

Postby M. I. Wright » September 13th, 2015, 6:49 pm

Discussion of this rule was starting to take over the Close Life variants thread, so I made this one instead.
@RULE tlife
@TABLE
n_states:2
neighborhood:Moore
symmetries:rotate4reflect
0,1,1,1,0,0,0,0,0,1
0,1,1,0,1,0,0,0,0,1
0,1,1,0,0,1,0,0,0,1
0,1,1,0,0,0,1,0,0,1
0,1,1,0,0,0,0,1,0,1
0,1,1,0,0,0,0,0,1,1
0,1,0,1,0,1,0,0,0,1
0,1,0,1,0,0,1,0,0,1
0,1,0,0,1,0,1,0,0,1
0,0,1,0,1,0,1,0,0,1
1,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0
1,1,0,0,0,1,0,0,0,0
1,1,1,1,1,0,0,0,0,0
1,1,1,1,0,1,0,0,0,0
1,1,1,0,1,1,0,0,0,0
1,1,1,0,1,0,1,0,0,0
1,1,1,0,1,0,0,1,0,0
1,1,1,0,1,0,0,0,1,0
1,1,1,0,0,1,1,0,0,0
1,1,1,0,0,1,0,1,0,0
1,1,1,0,0,1,0,0,1,0
1,1,1,0,0,0,1,1,0,0
1,1,0,1,0,1,0,1,0,0
1,0,1,0,1,0,1,0,1,0
1,0,0,0,1,1,1,1,1,0
1,0,0,1,0,1,1,1,1,0
1,0,0,1,1,0,1,1,1,0
1,0,0,1,1,1,0,1,1,0
1,0,0,1,1,1,1,0,1,0
1,0,0,1,1,1,1,1,0,0
1,0,1,0,1,0,1,1,1,0
1,0,1,0,1,1,0,1,1,0
1,0,1,1,0,1,0,1,1,0
1,1,0,1,0,1,0,1,1,0
1,0,0,1,1,1,1,1,1,0
1,0,1,0,1,1,1,1,1,0
1,0,1,1,0,1,1,1,1,0
1,0,1,1,1,0,1,1,1,0
1,1,0,1,0,1,1,1,1,0
1,1,0,1,1,1,0,1,1,0
1,0,1,1,1,1,1,1,1,0
1,1,0,1,1,1,1,1,1,0
1,1,1,1,1,1,1,1,1,0

@COLORS
1 255 255 255

And TLifeHistory by A for Awesome:
@RULE TLifeHistory
@TABLE
n_states:7
neighborhood:Moore
symmetries:rotate4reflect
var a={0,2}
var b={1,3,5}
var ba=b
var bb=b
var bc=b
var bd=b
var be=b
var bf=b
var bg=b
var c={0,2,4,6}
var ca=c
var cb=c
var cc=c
var cd=c
var ce=c
var cf=c
var cg=c
var d={3,5}
var e={0,1,2,3,4,5,6}
var ea=e
var eb=e
var ec=e
var ed=e
var ee=e
var ef=e
a,b,ba,bb,c,ca,cb,cc,cd,1
a,bb,ba,cd,b,cc,cb,ca,c,1
a,b,ba,c,ca,bb,cb,cc,cd,1
a,b,ba,c,ca,cb,bb,cc,cd,1
a,b,ba,c,ca,cb,cc,bb,cd,1
a,b,ba,c,ca,cb,cc,cd,bb,1
a,b,c,ba,ca,bb,cb,cc,cd,1
a,b,c,ba,ca,cb,bb,cc,cd,1
a,b,c,ca,ba,cb,bb,cc,cd,1
a,c,b,ca,ba,cb,bb,cc,cd,1
1,c,ca,cb,cc,cd,ce,cf,cg,2
1,b,c,ca,cb,cc,cd,ce,cf,2
1,c,b,ca,cb,cc,cd,ce,cf,2
1,b,c,ca,cb,ba,cc,cd,ce,2
1,b,ba,bb,bc,e,ea,eb,ec,2
1,b,ba,bb,e,bc,ea,eb,ec,2
1,b,ba,e,bb,bc,ea,eb,ec,2
1,b,ba,e,bb,ea,bc,eb,ec,2
1,b,ba,e,bb,ea,eb,bc,ec,2
1,b,ba,e,bb,ea,eb,ec,bc,2
1,b,ba,e,ea,bb,bc,eb,ec,2
1,b,ba,e,ea,bb,eb,bc,ec,2
1,b,ba,e,ea,bb,eb,ec,bc,2
1,b,ba,e,ea,eb,bb,bc,ec,2
1,b,e,ba,ea,bb,eb,bc,ec,2
1,e,b,ea,ba,eb,bb,ec,be,2
4,b,ba,bb,c,ca,cb,cc,cd,3
4,bb,ba,cd,b,cc,cb,ca,c,3
4,b,ba,c,ca,bb,cb,cc,cd,3
4,b,ba,c,ca,cb,bb,cc,cd,3
4,b,ba,c,ca,cb,cc,bb,cd,3
4,b,ba,c,ca,cb,cc,cd,bb,3
4,b,c,ba,ca,bb,cb,cc,cd,3
4,b,c,ba,ca,cb,bb,cc,cd,3
4,b,c,ca,ba,cb,bb,cc,cd,3
4,c,b,ca,ba,cb,bb,cc,cd,3
d,c,ca,cb,cc,cd,ce,cf,cg,4
d,b,c,ca,cb,cc,cd,ce,cf,4
d,c,b,ca,cb,cc,cd,ce,cf,4
d,b,c,ca,cb,ba,cc,cd,ce,4
d,b,ba,bb,bc,e,ea,eb,ec,4
d,b,ba,bb,e,bc,ea,eb,ec,4
d,b,ba,e,bb,bc,ea,eb,ec,4
d,b,ba,e,bb,ea,bc,eb,ec,4
d,b,ba,e,bb,ea,eb,bc,ec,4
d,b,ba,e,bb,ea,eb,ec,bc,4
d,b,ba,e,ea,bb,bc,eb,ec,4
d,b,ba,e,ea,bb,eb,bc,ec,4
d,b,ba,e,ea,bb,eb,ec,bc,4
d,b,ba,e,ea,eb,bb,bc,ec,4
d,b,e,ba,ea,bb,eb,bc,ec,4
d,e,b,ea,ba,eb,bb,ec,be,4
1,6,e,ea,eb,ec,ed,ee,ef,2
1,e,6,ea,eb,ec,ed,ee,ef,2
d,6,e,ea,eb,ec,ed,ee,ef,4
d,e,6,ea,eb,ec,ed,ee,ef,4
@COLORS
1 128 255 0
2 0 0 200
3 200 255 200
4 200 0 0
5 255 255 0
6 100 100 100


tlife differs from Life in two transitions: a live cell with three adjacent neighbors and one diagonal opposite them survives (as in the pre-boat), and a live cell with two opposite orthogonal neighbors dies (as in the blinker). As EricG noted below, it can also be expressed in Alan Hensel's notation as B3/S2-i34q.

I've noticed that soups tend to settle down slightly quicker than in Life and have less of a chance of exploding when hit by a glider stream, largely due to the lack of common methuselahs. Speaking of gliders, there are two c/4 diagonal, glide-reflective ones - one of which is Life's, and the other I've dubbed the 'ant' - and the T-tetromino is a c/5 orthogonal glider.
x = 14, y = 4, rule = tlife
7b2o$3o3b2o$o4bo6bo$bo4b2o3b3o!

The rule also has a sparky p160 (40*4) spinner that evolves from the bun...
x = 4, y = 4, rule = tlife
2bo$b3o$o$bo!

...which can interact with copies of itself to make guns for all three basic gliders:
x = 75, y = 25, rule = tlife
3b2o29b3o24bo$5bo31bo22bobo$4b2o27bo3bo24b2o$3bobo28bo27bo$34bo$34bo$
34bo2bo$29b2o$29bobo41b2o$o28bo43b2o$3o70bo$o72bo$73bo3$48bo$48b2obo$
49bobo$5b3o42bo$4bo2bo$4bob2o19b2o$5bo20b2obo$27bobo$28bo26b2o$55b5o!


- synthesis database
- Spaceship synthesis database
- compilations of two-X collisions: here, here and here
- Spaceship stamp collections

Misc. stamp collections

Eaters for the basic spaceships:
#C c/2 eaters were found by me; large anteater and the T eater are by A for Awesome
x = 69, y = 50, rule = tlife
40b3o$60b2o3b2o$40bobo$2o39bo18bo5bo$bo59b2ob2o$bobo38b2ob2o15b3o$2b2o
16b2o6bo13b2obobo$5b2o13b2o5bobo14bo2bo13bo3bo$5bobo18b2obo14bobo13bob
obobo$5bo20bo18bo15bo3bo7$23bo$23b3o$26bo$25b2o39bo$4bo62bo$3bobo22b2o
30b2o3b2o$3bobo21bobo$b3ob2o20b2o31bo5bo$o60b2ob2o$b3ob2o55b3o$3bob2o
14bo5bo$8b2o10bobo3bobo32bo3bo$8bobo9b2o3b2obo31bobobobo$8bo16bo35bo3b
o10$61bo5bo$60bo7bo$61b2o3b2o2$61bo5bo$62b2ob2o$63b3o2$62bo3bo$61bobob
obo$62bo3bo!


Conversions between gliders:
x = 329, y = 44, rule = tlife
259bo2b3o$259bobo2bo$191b3o28b2o3b2o26bo3bobo2bo63bo$221bo2bobo2bo24b
3o2bo2b3o61b2o$191bobo24bo5bobo2bo25bo3bo4bo62b2o$192bo24b3o2b2o2bo2bo
29bo4bo$218bo2bo4bo2bo29bo2b2o$14bo51bobo41bo110b4o2b2o10bo30bo$13b3o
50b2o41b3o69b2o3bo52bobo26b2o$13b3o51bo40bo71bo58b2o28b2o32bo$109bo35b
o34bo120b2o$8b3o134b3o32bo2b4o115b2o$87bobo55bo36bo$8bobo76b2o$9bo78bo
$288bo23bo$287b3o23bo$2bo18bo30bo18bo60bo19bo137bo19b3o$2b2o16bo32bo
16b2o61bo17bobo13bo50b2o3bo24b2o3bo35bo21bo$obo18b3o26b3o18bobo56b3o
17b2o14b2o49bo29bo$bo20bo28bo20bo44bo13bo19bo15bo49bo29bo$116bobo74b3o
21bo2b4o23bo2b4o$115b2obo74bo2bo22bo29bo$115bo77b2obo36bo29bo$195bo36b
3o27b3o$231bo3bo25bo3bo$232b2obo26b2obo$233b2o28b2o$179b4o2b2o$176bo2b
o4bob2o$175b3o2b2o5bo$176bo5bo2b2o$179bo2bobo$180b3ob4o4$10bobobo8bobo
36bobo6bobobo32bo11bobo34bobobo5bobobo77bobo9bobo2$12bo8bo38bo12bo32bo
3bo7bo40bo9bo77bo11bo$16bobo48bobo43bobo47bobo88bobo$12bo8bo3bo34bo3bo
8bo32bobobo7bo3bo36bo9bo77bo3bo7bo3bo2$12bo10bobo36bobo8bo32bo3bo9bobo
36bo9bo79bobo9bobo!


Unique oscillators (not present in regular Life):
x = 140, y = 88, rule = TLifeHistory
3.3D17.3D17.D.D17.3D17.D.D.D$5.D19.D17.D.D17.D.D17.D.D.D15.3D.3D$3.3D
18.2D17.3D17.3D17.D.3D17.D.D.D21.D.3D.3D$3.D21.D19.D17.D.D17.D3.D15.
3D.D.D21.D.D3.D.D$3.3D17.3D19.D17.3D17.D3.D15.D3.D.D21.D.3D.D.D$103.
3D.3D21.D.D.D.D.D$131.D.3D.3D2$114.A$2.A2.A2.A103.3A$2.7A11.2A6.2A14.
2A16.5A13.A11.A7.2A9.A$2A7.2A10.A2.2A2.A14.A2.A14.A5.A12.3A7.3A8.A9.
2A$.A.5A.A11.A.A2.A.A14.4A13.A7.A14.A5.A11.A.2A2.A$.A.A3.A.A10.2A.A2.
A.2A31.A5.A14.2A5.2A11.A6.A$2A.A3.A.2A10.A.A2.A.A31.A7.A40.A24.A$.A.A
3.A.A11.A2.2A2.A32.A5.A19.A16.A5.A22.3A$.A.5A.A10.2A6.2A32.5A19.A.A
16.A3.A22.A$2A7.2A74.A3.A15.A3.A23.A$2.7A32.2A43.A.A18.A$2.A2.A2.A32.
A.A43.A25.2A$43.A2.2A65.A.A$42.2A.A2.A33.2A5.2A13.2A9.A$2.A2.A2.A31.A
2.A.4A34.A5.A15.A9.2A$2.7A31.2A38.3A7.3A9.3A$2A7.2A69.A11.A9.A$.A2.4A
.A$.A.A3.A.A$2A.A3.A.2A$.A.A3.A.A31.2A8.2A$.A.5A.A31.A.A6.A.A$2A7.2A
32.A2.2A2.A68.A$2.7A33.2A.A2.A.2A65.3A$2.A2.A2.A31.A2.A.4A.A2.A51.2A
9.A$40.2A10.2A52.A9.2A$106.A.2A2.A$2.A2.A2.A98.A6.A12.A$2.7A105.A10.
3A$2A7.2A98.A5.A8.A$.A2.3A2.A100.A3.A9.2A$.A.A3.A.A100.A3.A$2A.A3.A.
2A89.2A10.A$.A.A3.A.A91.A20.A$.A2.3A2.A91.A.A16.A3.A$2A7.2A91.2A16.A
3.A$2.7A100.A9.A5.A$2.A2.A2.A98.A3.A8.A$107.A3.A8.A6.A$106.A5.2A.A6.A
2.2A.A$107.A9.A10.A$107.A9.A10.2A$109.A.2A5.A$104.2A7.A3.A$105.A7.A3.
A$102.3A10.A$102.A18.2A$121.A.A$112.2A9.A$113.A9.2A$110.3A$110.A$123.
A$121.3A$109.2A9.A$110.A9.2A$110.A.2A2.A$111.A6.A$118.A$113.A5.A$114.
A3.A$114.A3.A$116.A$122.2A$112.A9.A.A$100.2A9.A.A10.A$101.A9.A2.A9.2A
$101.A.2A2.A4.2A$102.A6.A$109.A$104.A5.A$105.A3.A$105.A3.A$107.A$113.
2A$113.A.A$104.2A9.A$105.A9.2A$102.3A$102.A!
Last edited by M. I. Wright on July 24th, 2017, 10:08 pm, edited 16 times in total.
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Re: tlife

Postby Saka » September 13th, 2015, 6:53 pm

Try placing the guns next to each other so that they have rotational symmetry, does it make a 4 barreled gun? (Im on a phone right now, it's five in the morning!)
Everyone, please stop posting B/S about CA
x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!

(Check gen 2)
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Re: tlife

Postby BlinkerSpawn » September 13th, 2015, 9:43 pm

More syntheses:
Bun on bun down to 5G:
x = 36, y = 44, rule = tlife
o$b2o$2o4$7bo$8bo$6b3o4$12b3o$12bo$13bo4$23bo$22b2o$22bobo21$34bo$33b
2o$33bobo!

2 large srill lifes from 10 and 18 gliders, respectively:
x = 79, y = 30, rule = tlife
29bobo34bobo$29b2o35b2o$30bo36bo2$25b3o34b3o$25bo36bo$26bo36bo$bo$o$3o
10bo$14b2o33bo$13b2o35b2o$26b2o7b2o12b2o12b2o$17bo7bo2bo5bobo26b2o8b2o
$17bobo5bo2bo7bo16bo7b2o2b2o5bobo$17b2o7b2o25bobo5b2o2b2o7bo$2bo36b2o
12b2o8b2o$b2o35b2o23b2o12b2o$bobo36bo35b2o$78bo2$27bo$28bo$26b3o35bo$
65bo$23bo39b3o$23b2o$22bobo35bo$60b2o$59bobo!

Possible improvement on hook on hook:
x = 32, y = 10, rule = tlife
26b2ob2o$2bo5bo17bo3bo$obo5bobo16b3o$b2o5b2o3$2o7b2o15bo3bo$b2o5b2o15b
obobobo$o9bo14bobobobo$26bo3bo!

Octagon II in 22 gliders:
x = 24, y = 24, rule = tlife
7bobo$8b2o$8bo$17bo$10bobo2b2o$11b2o3b2o$3bobo5bo$4b2o17bo$4bo16b2o$
11b2o9b2o$11b2o6bo$4b2o3b2o2b2o2b2o$5b2o2b2o2b2o3b2o$4bo6b2o$2o9b2o$b
2o16bo$o17b2o$12bo5bobo$6b2o3b2o$7b2o2bobo$6bo$15bo$14b2o$14bobo!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]
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Re: tlife

Postby A for awesome » September 13th, 2015, 10:13 pm

BlinkerSpawn wrote:Octagon II in 22 gliders:
x = 24, y = 24, rule = tlife
7bobo$8b2o$8bo$17bo$10bobo2b2o$11b2o3b2o$3bobo5bo$4b2o17bo$4bo16b2o$
11b2o9b2o$11b2o6bo$4b2o3b2o2b2o2b2o$5b2o2b2o2b2o3b2o$4bo6b2o$2o9b2o$b
2o16bo$o17b2o$12bo5bobo$6b2o3b2o$7b2o2bobo$6bo$15bo$14b2o$14bobo!

18 gliders:
x = 20, y = 20, rule = tlife
13bo$13bobo$13b2o$9bobo$bo8b2o$2bo7bo$3o$9b2o$3b2o4b2o$4b2ob2o2b2o3bo$
3bo3b2o2b2ob2o$9b2o4b2o$9b2o$17b3o$9bo7bo$8b2o8bo$8bobo$5b2o$4bobo$6bo
!
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: tlife

Postby gmc_nxtman » September 13th, 2015, 10:45 pm

Just wanting to point out that the cap is a p4, not a p3. Are there any known p3s in this rule?

Any chance this could help for a better honeycomb synth?

x = 2, y = 5, rule = tlife
2o$2o2$bo$2o!


Advance a t-glider by 15 ticks:

x = 3, y = 6, rule = tlife
bo$obo$bo2$bo$3o!


t-glider + longboat = honeycomb + block:

x = 4, y = 9, rule = tlife
2bo$bobo$obo$2o4$bo$3o!
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Re: tlife

Postby Jackk » September 14th, 2015, 8:23 am

Put a block on another with 3 T's:

x = 10, y = 41, rule = tlife
2b3o$3bo13$o6b3o$2o6bo$o23$6b2o$6b2o!


Advance a T by 19 (?) ticks:

x = 11, y = 10, rule = tlife
o$2o$o3$9bo$9bo$8bobo2$9bo!


Glider in 2 T's:

x = 10, y = 3, rule = tlife
b2o5bo$3o4b3o$b2o!
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Re: tlife

Postby M. I. Wright » September 14th, 2015, 9:25 am

gmc_nxtman wrote:Just wanting to point out that the cap is a p4, not a p3. Are there any known p3s in this rule?

Edited, thanks; I don't think I've seen one. And the Octagon II synthesis is great - that SL makes me wonder, though, if there are any reactions to 'extend' a block diagonally like in Jackk's orthogonal extension reaction.

gun for the c/2 ship:
x = 144, y = 146, rule = tlife
142b2o$141bo$141b2o$141bobo4$98bo2bo$98bobo$99b3o$81bo35bo$80bobo34b2o
$79b2o36bo$80bo4$125bo$123b2o$124b2o2$103b3o$104bobo$103bo2bo3$118b3o$
117bo$117bo4b2o$116bo6b2o$117b2obo$117b2o5bo$119b2ob2o$119b2ob2o$121bo
2$114bo$113bobo2$113b3o5$o2bo$2o$3b2o11$85bo$83b2o$84b2o2$17bo$18b2o$
17b2o3$119bo$117b2ob2o$101bobo13b2o3bo$11bo88b2o2b2o9b2o5bo$11bo88bo3b
2o9b2obo3bo$10bobo70bobo20bo7bo$83b2o13bo3bob2o9b2o3bo$11bo72bo13bo5b
2o9b2o2b2o$98bo3b2o13bobo$99b2ob2o$101bo5$22b2o$22bo2$21bobo$9bo11bo$
7bobo99bo$108bo$8bo98bobo$7b2o97b2o4b3o$106bobo3b3o$106b4o3b2o$107b2ob
2obo$109b2ob3o$109b2ob2o$110b3o3$51bo2$50bobo$51bo$51bo3$10b2o$10b5o
33b2o3b2o$48b2o3b2o13$60bo$47bo11bo$46b3o11b3o$49bo11bo$48bo18$53b2o$
53b2o$53b2o$52bo!
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Re: tlife

Postby Jackk » September 14th, 2015, 10:44 am

3 T-ships => 2 gliders:

x = 18, y = 11, rule = tlife
bo13bobo$3o11bo2bo$3o12bobo4$5bo$5bo$4bobo2$5bo!


M. I. Wright wrote:...that SL makes me wonder, though, if there are any reactions to 'extend' a block diagonally like in Jackk's orthogonal extension reaction.


That looks really hard, actually - I can't immediately see a way to get there...

EDIT: 3 T-ship synthesis of the other c/4 "glider":
x = 15, y = 11, rule = tlife
bo$3o$3o2$14bo$13b2o$5bo8bo$5bo$4bobo2$5bo!


3 T-ships => T-ship + glider:
x = 13, y = 11, rule = tlife
bo$3o$3o2$10bobo$9bo2bo$5bo4bobo$5bo$4bobo2$5bo!


3 T-ship => sparky p160
x = 13, y = 11, rule = tlife
bo$3o$3o2$10bo$8b2o2bo$5bo4bo$5bo$4bobo2$5bo!
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Re: tlife

Postby gmc_nxtman » September 14th, 2015, 11:03 am

Are there any common methuselahs that could be hassled?

And could this help synthesising the "super pond"?

x = 6, y = 6, rule = tlife
2o$obo$obo$bo$3b3o$3b3o!


Or this?

x = 8, y = 3, rule = tlife
6bo$2o4b2o$b2o2bo!


And could this help for the beehive @ beehive?

x = 6, y = 6, rule = tlife
3b2o$2bo2bo$b2o2bo$4bo$o$obo!
Last edited by gmc_nxtman on September 14th, 2015, 11:16 am, edited 2 times in total.
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Re: tlife

Postby Jackk » September 14th, 2015, 11:11 am

4T synthesis of the cap p4 oscillator:

x = 19, y = 26, rule = tlife
5bo$4b3o$4b3o3$16bo$14b2o2bo$16bo$bo$bo$obo2$bo12$5bo$4b3o!


gmc_nxtman wrote:Are there any common methuselahs that could be hassled?


I haven't been looking at enough random soups to find anything yet.

3T => 2T => block:
x = 19, y = 13, rule = tlife
5bo$4b3o$4b3o4$16bo$14b2o2bo$bo14bo$bo$obo2$bo!
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Re: tlife

Postby gmc_nxtman » September 14th, 2015, 11:18 am

This could be useful as well:

x = 6, y = 9, rule = tlife
bo$obo$obo$bo3$3bo$2b3o$2bob2o!
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Re: tlife

Postby A for awesome » September 14th, 2015, 1:24 pm

Two requests for anyone who knows how to code in any useful language: 1. can anyone enumerate all possible collisions between any two of the gliders in this rule; 2. can anyone make a version of apgsearch specialized to run in this rule?
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: tlife

Postby Jackk » September 14th, 2015, 2:52 pm

BTW, you can flip round one fo the p160s in the gun so the T-ships go the same way:

x = 86, y = 48, rule = tlife
9$34b2o21b2o$32b2o5bo13bo5b2o$32bo5bobo11bobo5bo$31bo3bo5bo9bo5bo3bo$
32bo3b2o17b2o3bo$32bo4bo17bo4bo$40bo11bo$40bo11bo$35b2ob2o13b2ob2o$37b
o17bo5$50bo$50bo$49b3o4$38b2o$35b5o!


It would be nice though if there was a two engine single gun...

EDIT: Slightly optimised alt!c/4 "glider" gun:

x = 55, y = 57, rule = tlife
33b2o2$36bo2$33b2o$28b2ob2obo$28bobobo$28bobo2bo2bo11b2o$3b3o23b2o16b
2obo$2b2ob2o22bo5b2o10b3o$bobob2o11b2o27bobo$4o12bo3bo28b2o$ob6o7b2o
30b4o2b2o$o2bob3o7bo5bo26b2o$3bo2b2o7b3o3bo$2b3o11b2ob2o$17b3o5$48b2o$
47b4o2b2o$49b2o$14bo32bobo$12b3o32b3o$14bo32b2obo$2b3o43b2o$3bo2b2o$o
2bob3o$ob6o$4o$bobob2o$2b2ob2o$3b3o2$50b2o$19b2o31bo$17b2o2bo28b2o$17b
2ob2o27b2o$17b2ob2o$19bo8$22b2o7b2o$18bob3ob2o3b2ob3obo$18bobo4bo3bo4b
obo$19bo6bobo6bo$20b2o3bo3bo3b2o$25bo3bo$21bobo7bobo$22bo9bo!
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Re: tlife

Postby BlinkerSpawn » September 14th, 2015, 5:29 pm

p160 NOT gate:
x = 59, y = 17, rule = tlife
18b2o$18b5o2$b2o34bo$o34b3o$2o35bo$obo5$44b2o$43bobo10b3o$45bo9bobo$
55bo2bo$22b5o$25b2o!
(It's not truly a NOT gate until someone hooks up the p160 TtoG converter.
Half fleet in four gliders, reduces the group of four blocks and derivative syntheses by four gliders:
x = 65, y = 35, rule = tlife
bo$2bo$3o10$56b2o$55bobo$55b2o$19bo33b2o$18bo33bobo$10bo7b3o31b2o$11b
2o$10b2o50b3o$62bo$63bo$59b2o$59bobo$59bo8$32b2o$32bobo$32bo!

Carrier can be made easily from four gliders:
x = 5, y = 16, rule = tlife
2bo$3bo$3o$bo9$3bo$2b3o$bo$2bo!

That-one-SL from five gliders:
x = 13, y = 24, rule = tlife
o$b2o$2o2$10bo$10bobo$10b2o$4bo$2bobo$3b2o3$9bo$8bo$8b3o7$10bo$9b2o$9b
obo!

Small lake in 18:
x = 21, y = 21, rule = tlife
14bo$14bobo$14b2o$8bo$9bo9bo$7b3o8bo$13b2o3b3o$5bo7b2o$3bobo$4b2o2$15b
2o$15bobo$6b2o7bo$3o3b2o$2bo8b3o$bo9bo$12bo$5b2o$4bobo$6bo!
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Re: tlife

Postby A for awesome » September 14th, 2015, 5:39 pm

5 potentially useful 2T collisions:
x = 47, y = 59, rule = tlife
5$9bo$8b3o31bobo$41bo2bo$42bobo$13bo$11b2o2bo26bo$13bo27b3o22$23bo$22b
2o$6bo5b2o9bo$5b3o4b3o$12b2o8bo$21bobo2$21b3o4$10b2o$10b3o$10b2o2$7b3o
$7b3o$8bo!

Edit: And a 135-degree reflector:
x = 16, y = 19, rule = tlife
o$3o$3bo$2b2o3$6bo$5bo$5b3o2$9b3o$8b2ob2o$7bo2b3o$6bobo2bob2o$12b4o$
12bo2bo$9b2o2b3o$9b6o$9b3obo!
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: tlife

Postby Yimmy » September 14th, 2015, 8:15 pm

x = 7, y = 7, rule = tlife
o$b2o$bobo$2b2o$4b2o$4bobo$5b2o!

A boat tie plus an extra cell turns into an 18 cell still life
x = 49, y = 36, rule = tlife
20b2o17b2o$19bobo18bo7bo$40bobo3b3o$18b2o15b2o4b2o2bo$16b3o17bo7bobo$
36bobo5bobo$31b2o4b2o6bo$15b3o14bo7b3o$14b2o16bobo5b3o$11bo2bo12b2o4b
2o9b2o$11bo2bo13bo7b3o5bobo$10b2o16bobo5b3o7bo$8b3o12b2o4b2o9b2o4b2o$
24bo7b3o5bobo$24bobo5b3o7bo$7b3o15b2o9b2o4b2o$6b2o20b3o5bobo$3bo2bo21b
3o7bo$3bo2bo18bo6b2o4b2o$2b2o20bobo5bobo$3o21bobo7bo$25bo2b2o4b2o$22b
3o3bobo$3o19bo7bo$2b2o26b2o$3bo2bo$3bo2bo$6b2o$7b3o3$8b3o$10b2o2$11bob
o$12b2o!

2 extensible p3's
x = 59, y = 16, rule = tlife
10b2o6bo7bo5b2o$9bobo4bobo5bobo5bobo$20bobo5bo7bobo$7bobo4b2o6bo10bo2b
o3bo$28b2o9bo2bo$5bobo7bo17b2o4bobo2bo$27bo8b2o3bobo2bo8bo$3bobo10b2o
16b2o7bobo2bo4bobo$26b2o8bo8bobo2bo3bo2bo$bobo12bo30bobo2bo$o27bo20bob
o4b2o$2o12b2o35bobo$21bo6b2o23bobobo$15bo5bobo34bo$17bobo5bobo29b2o$
17bo7bo!

A couple extensible p2 oscillators
x = 21, y = 20, rule = tlife
19b2o$19bo$17bobo$17b2o$13b2o$14bo$14bo$14b2o$9b2o$10bo$10bo$10b2o$5b
2o$6bo$6bo$6b2o$2b2o$bobo$bo$2o!

A extensible p5
x = 28, y = 27, rule = tlife
11bo$11b3o8b2o$14bo7bo$13bo6bobo$6bo6bo3bo2b2o$6b3o9bo$9bo5bo2bo7b2o$
8b2o6b3o7bo$bo22bobo$b3o20b2o$4bo5b3o$3bo6bo2bo5b3o$3bo3bo2bo8bo2bo$8b
o2bo4bo2bo$5bo2bo8bo2bo3bo$6b3o5bo2bo6bo$15b3o5bo$2b2o20b3o$bobo22bo$b
o7b3o6b2o$2o7bo2bo5bo$9bo9b3o$6b2o2bo3bo6bo$5bobo6bo$5bo7bo$4b2o8b3o$
16bo!

And lastly, an extensible P8
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Re: tlife

Postby BlinkerSpawn » September 14th, 2015, 8:37 pm

Bipond in 4:
x = 8, y = 8, rule = tlife
6b2o$2bo3b2o$obo$b2o2$4b2o$4bobo$4bo!
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Re: tlife

Postby Yimmy » September 14th, 2015, 8:53 pm

x = 55, y = 13, rule = tlife
o7bo9bo14bo2bo11bo$3o5b3o7b3o12bo2bo10bobo$3bo7bo9bo10b2o2b2o8bobobo$
2b2o6bo2b2o5bo9b3o4b3o6bo3bo$10bo4bo4bo2bo20b2o2bo2b2o$4b2o5b2o2bo7bo
19bo4bo4bo$4bo9bo6bo2b2o4b3o4b3o2bobob2ob2obobo$5b3o7b3o3bo10b2o2b2o5b
o4bo4bo$7bo9bo4b2o3bo5bo2bo7b2o2bo2b2o$25b2obo4bo2bo9bo3bo$28bo17bobob
o$28b2o17bobo$48bo!

A whole bunch of other p3's
x = 17, y = 8, rule = tlife
2bobo6bobo$5bo3b3ob3o$bo2bo3bo3bo3bo$obobo3bobo3bobo$o2bo5b2obob2o$b2o
$9b7o$9bo2bo2bo!

2 P4's
x = 32, y = 16, rule = tlife
3b2o10bo6b2o$2bo2bo8bobo6bo$bo4bo7bobo6bobo$o6bo2b2ob2ob2ob2o3b2o4b2o$
o6bo2bo4bo4bo10bo$bo4bo4b3o3b3o7b4o$2bo2bo7bobobo10bo$3b2o24b2o$30bo$
14bobobo10bo$12b3o3b3o8b2o$11bo4bo4bo$11b2ob2ob2ob2o$15bobo$15bobo$16b
o!

3 P5's
x = 44, y = 18, rule = tlife
4b2ob2o7bo11bo10bo$5bob2o6bobo9bobo8bobo$2b2o11bobo9bobo8bobo$5bob2o2b
2ob2ob2ob2o3b3ob2o6b2ob3o$bo3bo2bo2bo4bo4bo2bo4bo13bo$4b2obo4b3o3b3o4b
3o2bo6b2ob3o$2bo11bobobo8bo2bo6b2obo$obo32bo$2o30b4o$32bo$27bob2o6bo2b
o$14bobobo6b3ob2o6bo2b3o$12b3o3b3o3bo13bo4bo$11bo4bo4bo3b3ob2o6b2ob3o$
11b2ob2ob2ob2o5bobo8bobo$15bobo9bobo8bobo$15bobo10bo10bo$16bo!

3 p6's
x = 9, y = 9, rule = tlife
b2o$o$bo3bo$bo3b2o$3bobo$2b2o3bo$3bo3bo$8bo$6b2o!

A p8
x = 13, y = 13, rule = tlife
bo$b3o7b2o$4bo6bo$3b2o4bobo$9b2o$6b2o$6b2o$6b2o$2b2o$bobo4b2o$bo6bo$2o
7b3o$11bo!

A p12
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Re: tlife

Postby gmc_nxtman » September 14th, 2015, 9:23 pm

One of those p3s works in life:

x = 10, y = 11, rule = B3/S23
4b2o$4b2o2$4b4o$3bo3bo$2bobo$2bobo$3bo2b2o$3o3bobo$o7bo$8b2o!
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Re: tlife

Postby Yimmy » September 14th, 2015, 9:34 pm

In fact, all of the oscillators I've posted do
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Re: tlife

Postby M. I. Wright » September 14th, 2015, 9:46 pm

Neat knowing that a bunch of Life's oscillators work (Dinner Table also retains its extensibility).

As for the SL, I can't see a reasonable way of getting that extra cell there with sparks (it's a ship-tie, by the way, not a boat-tie), but it's fortunately equivalent to adding a duoplet to a fleet predecessor - see gens 8 and 9. I'm not the best with syntheses (my first attempt would've taken around twelve gliders but it didn't end up working), but it'd be easier to make it if there were a three-glider synthesis of the fleet predecessor.

By the way, I think all three gliders should be counted in syntheses, or at least the T and Life's glider (as they're the easiest ones to produce).

Some period doubling reactions, including a 2T p160 synthesis:
x = 190, y = 46, rule = tlife
140b3o$188bo$140bobo$141bo45bobo$188bo$188bo3$40b3o45bo$41bo45b3o$87b
3o22$140b3o$188bo$140bobo$141bo45bobo$188bo$188bo$100bo31bo$100b2o30b
2o$40b3o45bo11bo31bo$41bo8bo31bo4b3o60bo31bo$50b2o30b2o3b3o60b2o30b2o$
o31bo17bo31bo67bo31bo$2o30b2o$o31bo!

And this:
x = 42, y = 41, rule = tlife
39b3o$40bo31$39b3o$40bo5$b2o30b2o$3o29b3o$b2o30b2o!


A for awesome wrote:Two requests for anyone who knows how to code in any useful language: 1. can anyone enumerate all possible collisions between any two of the gliders in this rule; 2. can anyone make a version of apgsearch specialized to run in this rule?

Seconded. I could probably do the first one, but Python does not want to cooperate with Golly for me :( I'll get around to fixing it sooner or later.
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Re: tlife

Postby BlinkerSpawn » September 14th, 2015, 11:06 pm

Yimmy wrote:A boat tie plus an extra cell turns into an 18 cell still life
RLE

This works too.
x = 11, y = 12, rule = tlife
o$b2o$bobo$2b2o$4b2o$4b2o4$8b2o$8bobo$8bo!

Another 6G synth:
x = 18, y = 18, rule = tlife
15bobo$15b2o$16bo2$15bo$13bobo$14b2o7$5bo9b2o$6bo8b2o$2o2b3o6b2o$b2o
10b2o$o!

EDIT: Finally!
x = 34, y = 33, rule = tlife
bo$2bo28bobo$3o28b2o$32bo16$28bo$27bobo$27bobo$28bo2$20b3o$20bo2bo$20b
o2bo$23bo3$26b2o$25bo2bo$26b2o!

EDIT 2: And a 20-bitter obtainable from 10G (4 for hive at hive + 4 for 2 blocks + 2)
x = 14, y = 14, rule = tlife
10bo$8bobo$9b2o$12b2o$12b2o2$9b2o$8bo2bo$bo5bob2o$2bo3bobo$3o3bobo$7bo
$3b2o$3b2o!

EDIT 3: And the big honeycomb is down to 4G!
x = 35, y = 30, rule = tlife
32bo$32bobo$32b2o5$bo$o$3o7$3bo$2b2o$2bobo9$14b3o$14bo$15bo!
Last edited by BlinkerSpawn on September 15th, 2015, 12:06 am, edited 1 time in total.
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Re: tlife

Postby EricG » September 15th, 2015, 12:06 am

The tlife rule in Alan Hensel's notation is B3/S2-i34q which means that we can use Paul Tooke's modified gfind.

Here are some early results - two new c/2s, three c/3s, and an orthogonal c/4:
x = 111, y = 17, rule = tlife
64bobo$64b2o$66bo33bo2bo$100bo2bo$2o3b2o7bo5bo6b2o9b2o11bobo2bo7b2o3bo
29bob2obo$13bo7bo8bobobobo15b2o2bobo9bo$o5bo7b2o3b2o6bo11bo11bo5bo6bo
3b3o9bobo17b4o$b2ob2o22b2ob2ob2ob2o18bo6bo15bobo17bo2bo$2b3o9bo5bo8b3o
3b3o14b2o10bo3b2o9b2obo17bo2bo$15b2ob2o36b2o6b2o13b2o19bo2bo$16b3o33bo
16bo28bo6bo$55bobo6bobo12b2ob2o9bob5o4b5obo$51bobobobo6bo2bobo23bo16bo
$51bo3b2o7bo4bo9bo3bo9bo16bo$55b2o7bo15bobo11b2ob2o6b2ob2o$52b2obo9bob
2o11bobo13bo10bo$54bo10b2o14bo!

For info on Paul Tooke's gfind adaptation, see viewtopic.php?f=9&t=925&start=0&hilit=gfind#p6765

For info on Alan Hensel's non-totalistic notation, see viewtopic.php?f=11&t=936&start=0&hilit=hensel

For a script to create Golly rules using Hensel's notation, see viewtopic.php?f=9&t=933#p6815
Last edited by EricG on September 15th, 2015, 12:33 am, edited 1 time in total.
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Re: tlife

Postby M. I. Wright » September 15th, 2015, 12:21 am

BlinkerSpawn wrote:EDIT: Finally!
x = 34, y = 33, rule = tlife
bo$2bo28bobo$3o28b2o$32bo16$28bo$27bobo$27bobo$28bo2$20b3o$20bo2bo$20b
o2bo$23bo3$26b2o$25bo2bo$26b2o!

Funny, I stumbled upon that exact same reaction earlier! All these syntheses are great, keep them coming.

EricG wrote:Here are some early results

That's absolutely amazing, thanks a ton! Will definitely download the modified gfind.
I wonder if it would be easy to modify the T+2 block synthesis to get the second c/2? The small c/3 also looks feasible.

gmc_nxtman wrote:Are there any common methuselahs that could be hassled?

This T+block collision turns up pretty often; dunno about hassling it, though.
x = 3, y = 6, rule = tlife
3o$bo3$2o$2o!

There are also a ton of B-like-reactions with varying travel distances, although none look to be particularly common as far as I can tell. (a modified apgsearch would definitely be nice!)
--
Two things I'd like to see are a stable T eater and a heisenburp or splitter for any of the gliders, probably with the p160. It'd also be nice to see the 'alt' glider used more.
This is a one-time splitter-
x = 14, y = 8, rule = tlife
bo$obo$obo$bo$4bo8bo$3bobo6b2o$3bobo7bo$4bo!


edit: Huh, all you have to do to turn a T around is delete the back spark.
x = 22, y = 12, rule = tlife
21bo$20b2o$21bo6$2bo$b3o$o$bo!


Edit: This is the T-to-forward-glider I was looking for!
x = 22, y = 20, rule = tlife
13bo$11b3o$10bo$10b2o5$19bobo$18bo2bo$19bobo6$2bo$b3o$o$bo!

I found two interesting reactions when trying to delete the extraneous block; maybe could be used in a memory cell-type thing?
x = 22, y = 46, rule = tlife
8b2o$8b2o4$19bobo$18bo2bo$19bobo6$2bo$b3o$o$bo13$9b2o$9b2o4$19bobo$18b
o2bo$19bobo6$2bo$b3o$o$bo!
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Re: tlife

Postby BlinkerSpawn » September 15th, 2015, 7:04 am

M. I. Wright wrote:that SL makes me wonder, though, if there are any reactions to 'extend' a block diagonally like in Jackk's orthogonal extension reaction.

I don't see a way to edgeshoot this spark.
x = 7, y = 6, rule = tlife
bo$2o$3ob3o2$3b2o$3b2o!
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BlinkerSpawn
 
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