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tlife (B3/S2-i34q)

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Re: tlife

Postby A for awesome » January 6th, 2016, 10:32 pm

BlinkerSpawn wrote:
A for awesome wrote:A seed for the t eater:
rle

In your soup searching, have you just looked for the canonical single-mouth T eater or also other variants like the four-mouth variant under 6-glider syntheses.

I labeled all 15-cell or smaller ones, but the only ones I have found are the original and the weird one I posted a while ago.
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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Re: tlife

Postby BlinkerSpawn » January 6th, 2016, 10:45 pm

A for awesome wrote:Edit 2: Another S-to-G, which looks less likely:
x = 18, y = 22, rule = TLifeHistory
4.2C$3.B2CB$4.2B$5.2B$B3.8B$2B.9B$5BC7B$3BC2BC5B$.3B2C6B$2.2BC7B$3.9B
$4.6B.B2C2.2C$5.5B.BC.C2.C$6.3B5.2C$7.4B3.C$9.2C.C.C$9.2CB2C$10.B$9.
2C.2C$10.C.C$10.C.C$11.C!

The eater weld is synthesizable, though probably not in the synthesis database (which needs updating). After the block is added, do you think the technology exists to somehow add the hat?
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Re: tlife

Postby A for awesome » January 7th, 2016, 12:54 pm

BlinkerSpawn wrote:
A for awesome wrote:Edit 2: Another S-to-G, which looks less likely:
x = 18, y = 22, rule = TLifeHistory
4.2C$3.B2CB$4.2B$5.2B$B3.8B$2B.9B$5BC7B$3BC2BC5B$.3B2C6B$2.2BC7B$3.9B
$4.6B.B2C2.2C$5.5B.BC.C2.C$6.3B5.2C$7.4B3.C$9.2C.C.C$9.2CB2C$10.B$9.
2C.2C$10.C.C$10.C.C$11.C!

The eater weld is synthesizable, though probably not in the synthesis database (which needs updating). After the block is added, do you think the technology exists to somehow add the hat?

I doubt it currently exists, but I would say it's possible. Maybe adding a length-5 inductor, then getting rid of the cell supporting the middle of the inductor and eliminating the middle cell, changing it into two blocks, turning those into boats, and making that into a hat?
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 A for awesome » January 8th, 2016, 8:27 pm

A 4SL tripole seed:
x = 13, y = 15, rule = tlife
11b2o$11b2o$2o$2o3$11bo$10bobo$2b2o7b2o$2bobo$3b2o5bo$9bobo2$9b3o!
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 BlinkerSpawn » January 8th, 2016, 9:09 pm

Seed gives this reaction:
x = 12, y = 18, rule = tlife
4$7b2o$7b3o$8b2o$2b2o$5b2o$4bo2bo$5bobo$6bo3$6b2o$6b2o!

EDIT: 12G Sidewalk-variant addition gives new 16G synthesis:
x = 108, y = 57, rule = tlife
9$49bo$47bobo$9bobo6bo29b2o$10b2o7b2o$10bo7b2o6$59bo9bobo$60b2o8b2o6bo
$16bo42b2o9bo6bo$17bo59b3o$15b3o37b3o$57bo$30bobo23bo4bo$31b2o27bobo$
31bo3bo25bobobo$35b3o24b2ob3o$28bo9bo29bo$20bo7b2o7b2o28b2o$20b2o5bobo
$19bobo5$94b3o$94bo$95bo!
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Re: tlife

Postby BlinkerSpawn » January 9th, 2016, 10:51 pm

A for awesome wrote:4T synth of the 2c/6 ship:
x = 18, y = 13, rule = tlife
o$2ob3o$o2b3o$4bo$15bo$15b3o$15bo4$14b3o$15bo$15bo!


Leads to this simple predecessor:
x = 12, y = 6, rule = tlife
2o$obo7bo$2b2o5b2o$b2o5bo2bo$9b2o$10bo!

And this 6G synthesis:
x = 28, y = 13, rule = tlife
4bo8bo$5b2o6bobo$4b2o7b2o4$20bobo$21b2o$21bo$b2o$obo22b3o$2bo22b3o$26b
o!

EDIT: New 14G synth:
x = 27, y = 22, rule = tlife
4bo$3bobo16bo$4b2o15bo$21b3o$o$2o8b2o$o8bobo5bo$10bo6bobo$17b2o5$o$2o$
o2$4b2o$3bobo$4bo12b2o5b3o$16b2o6bo$18bo6bo!
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Re: tlife

Postby A for awesome » January 10th, 2016, 6:46 pm

I just sorted M. I. Wright's collections of T+G collisions:
x = 593, y = 429, rule = tlife
o3bo3bobo3bobobobo2bo3bo2bobobobo2bo3bo3bobo19bo24bo22bo$7bo3bo34bo3bo
18bobo20b2o22bo217b3o$2o2bo12bo5bo3bo5bo5b2o2bo25b2o22b2o21b3o23bo19bo
22bo18bo17bo14bobo11bo15bo47b3o7bo9bo7bo$7bo3bo34bo93b2o20bobo18b2o17b
2o17bo15b2o12bobo11b2o12bobo11bo5b3o4bo9bo7bo18bobo$obobo12bo5bobobo5b
o5bobobo97b2o19b2o20b2o17b2o16b3o5b3o6bo4b3o5b2o5b3o5b2o4b3o4b2o5b3o3b
o7bo3b2o18b3o16b2o$7bo3bo34bo2b2o143b3o16b3o14bo13bo14bo13bo6bo6bo4b3o
10b2o$o2b2o12bo5bo3bo5bo5bo2b2o108b3o19b3o18bo18bo$7bo3bo34bo3bo13b3o
21b3o21b3o15b3o20bo21bo$o3bo3bobo6bo5bo3bo2bobobobo2bo3bo3bobo15bo23bo
23bo17bo13$68bo14bo$66b2o13b2o15bo14bo15bo17bo31bo14bo32bo$67b2o13b2o
12b2o13b2o14b2o16b2o17bo12b2o13b2o17bo13b2o16bo15bo$97b2o13b2o14b2o16b
2o14b2o14b2o13b2o14b2o15b2o13b2o14b2o83bo$163b2o45b2o30b2o14b2o9bo23bo
17bo28b2o19bo153bo16bo$267b2o12bo9b2o16b2o19bo10b2o16b2o13bo16bo14bo
12bo13bo68bo10b2o15b2o11bo15bo18bo13bo$268b2o9b2o11b2o16b2o16b2o30b2o
10b2o15b2o13b2o11b2o12b2o17bo17bo15bo15b2o12b2o15b2o8b2o14b2o17b2o12b
2o$280b2o47b2o42b2o15b2o13b2o11b2o12b2o14b2o16b2o14b2o17b2o39b2o14b2o
17b2o12b2o$449b2o16b2o14b2o2$511bo16bo59bo$510bobo15bo26bo17b3o11bobo$
498bo28bobo8b3o13b3o16b3o$415bo12b3o15bo17bo32b3o10b3o26bo34bo12b3o$
175bo14bo32bo31bo81b3o17bo12bo30b3o10b3o11b3o14bobo16bo14b3o46bo10bo$
79bo29bo15bo48bobo13bo31b3o13b3o13bobo32bo47b3o16bobo11bo15b3o12b3o25b
o33bobo14bo$64bo14bo13b3o12bobo14bo16b3o15bo28bobo14b3o29b3o24bo23bo
16b3o17bo11bo30bobo15bo14bo42b3o32bo$63b3o12bobo12b3o28bobo16bo15b3o
12b3o30bo31bo14b3o8bo10b3o9bobo16bo17b3o28b3o28bo76bo$94bo13b3o32bo46b
o16bo56bobo9b3o28bo62bo$79bo45bo151bo11bo$265bo10$73bo$71b2o20bo$72b2o
17b2o$92b2o17bo12bo78bo105bo$109b2o11b2o14bo14bo14bo14bo17b2o16bo20bo
16bo13bo15bo19b2o18bo24bo$110b2o11b2o11b2o13b2o13b2o13b2o19b2o13b2o19b
2o15b2o12b2o14b2o21b2o15b2o23b2o16bo16bo18bo$137b2o13b2o13b2o13b2o34b
2o19b2o15b2o12b2o14b2o38b2o23b2o13b2o15b2o17b2o28bo$367b2o15b2o17b2o
25b2o18bo$431b2o15b2o$449b2o2$318bo24bo32bo17b3o$299b3o15bobo23bo31bob
o16b3o25b3o16bo$248bo13bo15bo20b3o40bobo13b3o34bo26b3o15b3o$64bo129bo
52bobo12bo14b3o20bo16b3o39bo15b3o45bo$63bobo18bo109bo15bo19b3o28bobo
79bo15bo$84bo30bo43bo13b3o17bobo13b3o18b3o14b3o$63b3o17bobo16bo11bobo
12bo13b3o13bo13b3o55bo30bo$101b3o24b3o12b3o12bobo13bo19bo$84bo29b3o27b
o$159bo4$488bo$469bo16b2o$468b2o17b2o14bo21bo$398bo20bo14bo26bo39b2o
20b2o$382bo13b2o19b2o13b2o25b2o41b2o20b2o$380b2o15b2o19b2o13b2o25b2o$
21bo5bo2bobobobo3bob2o3bobo331b2o$21b2o3b2o11bo6bo3bo277bo187bo$33bo
168bo124b2o165bo20bobo$21bobobobo11bo6bo155b2o103bo186bo$21bo2bo2bo5bo
6bobo22bo26bo22bo189b2o39bo146bobo19b3o$43bo2bo18bobo22b2o23bobo22bo
25bo23bo115b2o36b2o132b3o$21bo5bo5bo31b2o24b2o22b2o23bobo21b2o24bobo
152b2o132bo14bo$43bo2bo3bo89b2o23b2o23b2o260bo26bo$21bo5bo2bobobobo2b
2obo4bobo198b3o7bo16b3o132bo40b3o$229b3o3bo13bo8bobo15bo11bo120bobo12b
3o$61b3o23b3o17b3o23b3o22b3o18b3o48bo3bo23b2o28bobo98bo35bo$62bo25bo
19bo25bo24bo20bo35bo17b3o51b2o51b3o45bo19b3o13bo$215bo125b3o44bobo$
208b3o4b3o124bo29b3o$209bo92b3o68bo15bo$303bo69bo$303bo3$131bo$131b2o
7$223bo$221b2o$222b2o10bo31bo19bo27bo$232b2o17bo12b2o18b2o13bo12b2o22b
o$78bo154b2o14b2o14b2o18b2o10b2o14b2o19b2o$76b2o24bo147b2o46b2o35b2o
17bo$77b2o22bo250b2o17bo$101b3o249b2o14b2o$124bobo38b3o25b3o174b2o$49b
2o73b2o15b3o22bo11bobo13bo12bo$49b2o74bo16bo8bo26b2o25b2o$94b3o52b2o
28bo26b2o74bo$71b3o21bo22b3o29b2o109b3o17bobo10b3o47b3o$72bo46bo110bo
16bo13b3o31bo48b3o14b3o$229bobo14b3o13bo18b3o11bo49bo16bo$327bo34bo$
218b3o8b3o72b3o19b3o$219bo84b3o$219bo85bo15$130bo$128b2o36bo$129b2o17b
o15b2o$146b2o17b2o61bo$147b2o34bo20bo21b2o$71bo109b2o19b2o23b2o$48b2o
21bobo29b3o76b2o19b2o$47bo2bo20b2o11b3o3bobo11bo7bobo$48b2o12b3o20bo4b
2o20b2o105bo$63bo27bo21bo81bo23bo$144bo29bo20bo22bobo$144bo12bo15b3o
18bobo$143bobo10bobo60bo$125b3o67bo$126bo17bo11b3o$126bo13$121bo$120b
2o$79bobo$79b2o19bobo$80bo19b2o68bo$101bo66b2o$169b2o33bo$50bo151b2o$
49b2o152b2o$50bo23b3o19b3o42bo11bo$75bo21bo42b2o3b3o3b2o21bo$127bo18bo
5b2o19b2o14bo$125b2o61b2o$126b2o$166bo28bo$99bo66bo27bobo$99b2o64bobo$
118b3o73b3o$77bo41bo46bo$77b2o11$119bo18bo$117b2o17b2o$118b2o17b2o$77b
o$76bo79bo20bo$76b3o75b2o19b2o$49bo105b2o19b2o$48bobo42b3o8bo$47bo2bo
43bo7b2o$48b2o53b2o2$71b3o73bo$72bo73b3o19bo$167b3o$133b3o$115bo17b3o$
114b3o17bo17$109bo13bo$92bo14b2o12b2o$90b2o16b2o12b2o15bo$91b2o44b2o$
75bobo60b2o$49bo25b2o$48bobo25bo$48b2o2$68b3o$69bo2$129b3o$88bo24b3o
14bo$87b3o9b3o12bo15bo$100bo13bo$100bo2$156b2o$157bo15$140bo$47bo2bo
21bo65b2o$49b2o20bo67b2o$46b2o23b3o27bo$100bo13b3o3bo$100b3o12bo4bobo$
120b2o$68b3o20b3o$69bo22bo43bo$135bobo2$135b3o6$160bo$160b2o6$8bo$8b2o
3$70bo$70b2o96bo$166b2o$167b2o32bo$23bo5bo2bob3o3bob2o3bob2o148b2o$23b
2o3b2o9bo6bo153b2o$32bo88b3o$23bobobobo2bo6bo6bo75bo3bobo$23bo2bo2bo3b
obo4bobo4bobo76b2o$32bo10bo6bo76bo63b3o$23bo5bo2bo159bo$43bo6bo20bobo
118bo$23bo5bo2bob3o2b2obo3b2obo21b2o$72bo67bo$139b2o2$68b3o93bo$69bo
93bobo2$163b3o8$89bo$87b2o$88b2o2$73bo41bo$72b2o39b2o18bo$114b2o15b2o$
48bo83b2o$48bobo19bo$48b2o13b3o4bobo12bo$64bo5b2o12b3o3$124bo$91bo13b
3o16bo$90b2o13b3o15bobo$106bo$124bo7bo$113bo17b2o$112b2o6$93bo$91b2o$
47b2o43b2o17bo$46bo2bo59b2o$45bob2obo10b3o46b2o$46bo2bo12bo7bo$47b2o
20bo$69b3o3$101b3o$101b3o$84bo17bo$83bobo2$83b3o5$100bo$98b2o$99b2o2$
76bo$76bobo$76b2o3$48b2o$47bo2bo40bo$46bo2bo41bo$47b2o21b3o17bobo$71bo
$91bo6$77bo$76bo22bobo$48b2o26b3o20b2o$47bo2bo49bo$47bo2bo$48b2o16b3o
20b3o$67bo22bo8$72bobo$49bo22b2o$48bobo22bo$49bo13b3o$64bo5$73bo$71b2o
$72b2o$48b2o$48bobo$49b2o4$63b3o$64bo$64bo2$73bo$72bo$72b3o$47b2o$47b
2o$49b2o15b3o$49b2o16bo!
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 BlinkerSpawn » January 11th, 2016, 8:17 pm

Gun for the 2c/6 using the latest 6G synthesis:
x = 79, y = 59, rule = tlife
39bo$21b2obo13bob2o$20bo2bo18bobo$22bo2bo16bobo$19b3o2b2o11bo7bo7b3o$
20bo2bo2bo9b2o6bo8b3o$4bo16bo3bo11bo6bo7bo$4o2bo13b2o3bo13bo$6bo14bo2b
o15b3o$6bo15bo17bo33b3o$o3b2o71bo$71b2o4bo$70b2o6bo$74bob2o$70bo5b2o$
71b2ob2o$71b2ob2o$73bo7$33bo13bobo$2bo28bobo13b2o$bo30b2o14bo$ob2o2$3b
2o44bo$2bobo45bo$2bobo43b3o2$7b2o$8b2o$7bo13b3o$22bobo$21bo2bo2$29bo
27bo$29b2o26bo$28bobo25bobo$48bo$46b2ob2o6bo$51bo$51bo$9b3o31bo4bo12b
2o$8bo2bo31bo3b2o11bobo4b2o$8bob2o30bo3bo5bo7bobo$9bo33bo5bobo7b2obobo
$43b2o5bo9b5obo$30bo14b2o17b3o$28b2ob2o$28b2o3bo$28bob2obo$31bo2bo$27b
2o3b2o$32b2o$31bo!
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Re: tlife

Postby A for awesome » January 12th, 2016, 9:19 am

This soup produces what I think is a new p5:
x = 16, y = 16, rule = tlife
2b4obo2bobob2o$5bo2bo3b2obo$2bobobo4b2o2bo$bo2b2o3b5o$o2bo2bob3ob3o$ob
3o4b2obo2bo$3bo5bobo3bo$2bobob6o$2o3b3o2b2ob3o$3bo2b2obo3b2o$bo3b2obob
2obo$7bob2o3bo$o5b2o3bo3bo$ob3obo3bobob2o$ob2o3b2obobo$5bob2obobob2o!
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 BlinkerSpawn » January 12th, 2016, 10:54 pm

New component:
x = 15, y = 13, rule = tlife
2bo9bo$obo9bobo$b2o9b2o$6b3o$7bo$bobo7bobo$2b2o7b2o$2bo9bo3$5bo3bo$4bo
bobobo$5b2ob2o!

EDIT: Managed to finally synthesize the weird 23-bitter from 13G:
x = 21, y = 17, rule = tlife
6b2o$6b2o$16bo$15bo$5bo9b3o$4bobo$5bobo$6b2o2$12b2o$12bobo3b3o$12bo5bo
$7b2o10bo$6bo2bo$b2o4b2o4b2o$obo10bobo$2bo10bo!

EDIT 2: Higher-clearence R inserter allows a 9G synthesis from a previous reaction I posted:
x = 29, y = 29, rule = tlife
28bo$26b2o$14bobo10b2o$14b2o$15bo2$16b2o$16bobo$16bo6$2b2o10b2o$3b2o9b
2o$2bo3b3o$6bo$7bo8$bo25bo$b2o23b2o$obo23bobo!
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Re: tlife

Postby Sphenocorona » January 26th, 2016, 1:35 am

I swear this has to have been noticed before but I didn't see it, a p3 extensible oscillator, similar to eater eating eater but involving a blocktie and thus making it tlife specific. (min. pop & bounding box area form shown):
x = 13, y = 9, rule = tlife
5bo$5b2o$2b2o3bo$bobo3b2o$bo$2o7b2o$9bo$10b3o$12bo!
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Re: tlife

Postby BlinkerSpawn » January 30th, 2016, 9:26 pm

..this looks difficult:
x = 16, y = 16, rule = tlife
4bo2$4b2o$4bo$4bo$bo2b3o$b2o4bo$bo4bobo$6bo2bo$b2o4b2obo$o9bo2bo$bo8b
4obo2$6bo2bo$4bobob3o$5bo!

Any hope for this?
x = 11, y = 11, rule = tlife
3b3o3$o3b3o$o2bo3bo$o2bo3bo2bo$3bo3bo2bo$4b3o3bo3$5b3o!
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Re: tlife

Postby Sphenocorona » January 31st, 2016, 2:43 am

12G synthesis of honeyloaf p5 (4 for eater + 8 shown below):
x = 22, y = 29, rule = tlife
18bobo$18b2o$12bo6bo$11bo$o10b3o$b2o$2o6$10bo7b3o$8b3o7bo$7bo11bo$7b2o
2$19b3o$9bo9bo$9b2o9bo$8bobo$2bo$2b2o$bobo3$14b3o$14bo$15bo!

Based off a two pre-mangoes + dot spark predecessor of the oscillator, but the route is a bit odd since it's so hard to fit all the necessary parts together. Finding a good, edgy, isolated corner dot spark could reduce the cost to as little as seven gliders.
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Re: tlife

Postby BlinkerSpawn » January 31st, 2016, 9:01 am

11G honeyloaf along mostly the same lines:
x = 48, y = 31, rule = tlife
45bo$43b2o$44b2o$37bo$37bobo$16bobo18b2o$17b2o$17bo$2bo$obo$b2o7$30b2o
$15b2o13b2o$16b2o$15bo3b3o$19bo24b2o$20bo23bobo$44bo3$45b2o$45bobo$25b
2o18bo$26b2o$25bo!
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Re: tlife

Postby A for awesome » January 31st, 2016, 4:40 pm

What I think is a new T gun, from soup:
x = 16, y = 16, rule = tlife
4o4b3o3bo$b3o6b2o2b2o$o3b2o6b4o$ob6obo$b2ob2obo4b4o$2b2ob2o7b2o$ob3o3b
o3bo2bo$2obobob3ob3obo$o2bo2b2obo4b2o$3obobob3o2bobo$bo2bobo2bobo$b4o
3b3ob3o$2ob3o4bo$3o3bo4b3obo$2bo2b6obob2o$bobo2bob2obo2bo!
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 A for awesome » February 2nd, 2016, 9:16 am

I happened to glance at the screen at exactly the right time, and this showed up:
x = 16, y = 16, rule = tlife
bo3b3obo$2bo2bo2b2ob3obo$3b3o4bob3o$obob3ob2o3bo$5bo4b4obo$bobob3o3bob
obo$2obob2o2b3obo$2ob3o2bo2b3o$3o3bo7b2o$o3b2o4b3obo$bobo2bo2b3o2bo$b
8obob3o$obob4o2b3o2bo$b2o3b2obobobobo$o5b3obo2b2o$3o2b2o2b6o!
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 A for awesome » February 28th, 2016, 2:11 pm

Quad-block eats glider pair:
x = 10, y = 10, rule = tlife
5bo$3bobo$4b2o$bo$2bo3b2o$3o3b2o$4b2o2b2o$4b2o2b2o$6b2o$6b2o!

Edit: Oscillators of infinitely many periods:
x = 20, y = 24, rule = tlife
8bo$8b2o$6b2o2bo$6b2o2b2o$4b2o2b2o6bo$4b2o2b2o6b2o$2b2o2b2o6b2o2bo$b3o
2b2o6b2o2b2o$2o2b2o6b2o2b2o$2o2b2o6b2o2b2o$2b3o5b2o2b2o$2b2o6b2o2b2o$
8b2o2b2o$8b2o2b2o$6b2o2b2o$6b2o2b2o$4b2o2b2o$4b2o2b2o$2b2o2b2o$b3o2b2o
$2o2b2o$2o2b2o$2b3o$2b2o!
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 A for awesome » March 1st, 2016, 7:26 pm

First natural occurrence of the 2c/4!
x = 16, y = 16, rule = tlife
2b3ob3o3b3o$5b4o2b2ob2o$o3bob2o4bo2bo$2o2b2ob4o$o4bob4o3bo$o3bobo2b3o
2b2o$bobo3b2o4bo$3b2obobo2bo2b2o$bo3bobo2b2obo$13o$2obobo4bobobo$2bo4b
4ob2o$4obobob7o$bobob2o2bo2b2obo$obobobo3bo2b3o$3bo2b3o2b3obo!
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 muzik » March 2nd, 2016, 12:12 pm

4t synthesis of 2 ts:

x = 10, y = 15, rule = TLifeHistory
9.A$8.2A$9.A6$3A$.A6.A$7.2A$8.A2$4.A$3.3A!
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
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Re: tlife

Postby muzik » March 3rd, 2016, 8:08 pm

Can someone make a highlife version of this?
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Re: tlife

Postby drc » March 3rd, 2016, 9:11 pm

muzik wrote:Can someone make a highlife version of this?

It even has a replicator:

@RULE B36_S2-i34q

*** File autogenerated by saverule. ***


This is a two state, isotropic, non-totalistic rule on the Moore neighbourhood.
The notation used to define the rule was originally proposed by Alan Hensel.
See http://www.ibiblio.org/lifepatterns/neighbors2.html for details


@TABLE


n_states:2
neighborhood:Moore
symmetries:rotate4reflect

var a={0,1}
var b={0,1}
var c={0,1}
var d={0,1}
var e={0,1}
var f={0,1}
var g={0,1}
var h={0,1}

# Birth
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
0,1,1,1,1,1,1,0,0,1
0,1,1,1,1,1,0,1,0,1
0,1,1,1,1,0,1,1,0,1
0,1,1,1,1,0,1,0,1,1
0,1,1,1,0,1,1,1,0,1
0,1,1,0,1,1,1,0,1,1

# Survival
1,1,1,0,0,0,0,0,0,1
1,1,0,1,0,0,0,0,0,1
1,1,0,0,1,0,0,0,0,1
1,0,1,0,1,0,0,0,0,1
1,0,1,0,0,0,1,0,0,1
1,1,1,1,0,0,0,0,0,1
1,1,1,0,1,0,0,0,0,1
1,1,1,0,0,1,0,0,0,1
1,1,1,0,0,0,1,0,0,1
1,1,1,0,0,0,0,1,0,1
1,1,1,0,0,0,0,0,1,1
1,1,0,1,0,1,0,0,0,1
1,1,0,1,0,0,1,0,0,1
1,1,0,0,1,0,1,0,0,1
1,0,1,0,1,0,1,0,0,1
1,1,1,1,0,0,1,0,0,1

# Death
1,a,b,c,d,e,f,g,h,0


@COLORS



@ICONS

circles


x = 5, y = 3, rule = B36_S2-i34q
5o$5o$5o!
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Current rule interest: B2ce3-ir4a5y/S2-c3-y
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Re: tlife

Postby muzik » March 3rd, 2016, 9:50 pm

ThighLife :p

Is this some sort of breeder? After a lot of generations, it creates more lines of replicators

x = 575, y = 5, rule = B36_S2-i34q
2b3o5b3o21b3o5b3o469b3o5b3o21b3o5b3o$bo3bo3bo3bo19bo3bo3bo3bo467bo3bo
3bo3bo19bo3bo3bo3bo15bo$o5bobo5bo17bo5bobo5bo465bo5bobo5bo17bo5bobo5bo
14b2o$bo3bo3bo3bo19bo3bo3bo3bo467bo3bo3bo3bo19bo3bo3bo3bo15bo$2b3o5b3o
21b3o5b3o469b3o5b3o21b3o5b3o!
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Re: tlife

Postby muzik » March 4th, 2016, 4:27 am

One time reflector

x = 17, y = 4, rule = B36_S2-i34q
2bo$o2b2o$2bo12b2o$15b2o!
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Re: tlife

Postby dvgrn » April 12th, 2016, 8:45 pm

muzik wrote:One time reflector

x = 17, y = 4, rule = B36_S2-i34q
2bo$o2b2o$2bo12b2o$15b2o!

For anyone who hasn't noticed, the "rule = B36_S2-i34q", "rule = tlife", and "rule = TLifeHistory" patterns all work in LifeViewer now, as of Build 182 -- along with all other Hensel neighbors2.html-format isotropic rules, as far as I've tested so far -- and hexagonal rules, too. Refresh your browsers...!
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Re: tlife

Postby AbhpzTa » April 14th, 2016, 12:12 pm

A for awesome wrote:Possibly synthesizable predecessor to the T eater:
x = 6, y = 8, rule = tlife
3bo2$3o2$3b2o$2b3o$2bo2bo$3b2o!

(December 29th, 2015, 10:01 am)
(Re: tlife)

3G+1T synth:
x = 49, y = 64, rule = tlife
2bo$obo$b2o20$48bo$47b2o$48bo10$16b2o$15bobo$17bo25$b2o$2b2o$bo!


BlinkerSpawn wrote:Tripole predecessor and potential base SL:
x = 16, y = 13, rule = tlife
13bo$11b2o$12b2o4$2b2o9bo$o2bo6b2o$2o8b3o$14b2o$2o9b2o$obo8bobo$bo10bo
!

(January 3rd, 2016, 1:31 pm)

5G synth:
x = 51, y = 48, rule = tlife
48bobo$48b2o$49bo4$2bo$obo$b2o7$10bo$11b2o$10b2o26$40b2o$40bobo$16b2o
22bo$15bobo$17bo!


EDIT: 7G bipole synthesis
x = 45, y = 58, rule = tlife
3bo$bobo$2b2o38bobo$42b2o$43bo2$bo$2bo$3o4$37bo$36bo$36b3o22$39b2o$39b
obo$39bo6$4b2o$3bobo$5bo9$10b3o$12bo$11bo!
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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