## tlife (B3/S2-i34q)

For discussion of other cellular automata.

### Re: tlife

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)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce

A for awesome

Posts: 1881
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1

### Re: tlife

A for awesome wrote:Edit 2: Another S-to-G, which looks less likely:
x = 18, y = 22, rule = TLifeHistory4.2C$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? LifeWiki: Like Wikipedia but with more spaceships. [citation needed] BlinkerSpawn Posts: 1891 Joined: November 8th, 2014, 8:48 pm Location: Getting a snacker from R-Bee's ### Re: tlife BlinkerSpawn wrote: A for awesome wrote:Edit 2: Another S-to-G, which looks less likely: x = 18, y = 22, rule = TLifeHistory4.2C$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

Aidan F. Pierce

A for awesome

Posts: 1881
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1

### Re: tlife

A 4SL tripole seed:
x = 13, y = 15, rule = tlife11b2o$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

Aidan F. Pierce

A for awesome

Posts: 1881
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1

### Re: tlife

Seed gives this reaction:
x = 12, y = 18, rule = tlife4$7b2o$7b3o$8b2o$2b2o$5b2o$4bo2bo$5bobo$6bo3$6b2o$6b2o!

EDIT: 12G Sidewalk-variant addition gives new 16G synthesis:
x = 108, y = 57, rule = tlife9$49bo$47bobo$9bobo6bo29b2o$10b2o7b2o$10bo7b2o6$59bo9bobo$60b2o8b2o6bo$16bo42b2o9bo6bo$17bo59b3o$15b3o37b3o$57bo$30bobo23bo4bo$31b2o27bobo$31bo3bo25bobobo$35b3o24b2ob3o$28bo9bo29bo$20bo7b2o7b2o28b2o$20b2o5bobo$19bobo5$94b3o$94bo$95bo!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Posts: 1891
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### Re: tlife

A for awesome wrote:4T synth of the 2c/6 ship:
x = 18, y = 13, rule = tlifeo$2ob3o$o2b3o$4bo$15bo$15b3o$15bo4$14b3o$15bo$15bo! Leads to this simple predecessor: x = 12, y = 6, rule = tlife2o$obo7bo$2b2o5b2o$b2o5bo2bo$9b2o$10bo!

And this 6G synthesis:
x = 28, y = 13, rule = tlife4bo8bo$5b2o6bobo$4b2o7b2o4$20bobo$21b2o$21bo$b2o$obo22b3o$2bo22b3o$26bo! EDIT: New 14G synth: x = 27, y = 22, rule = tlife4bo$3bobo16bo$4b2o15bo$21b3o$o$2o8b2o$o8bobo5bo$10bo6bobo$17b2o5$o$2o$o2$4b2o$3bobo$4bo12b2o5b3o$16b2o6bo$18bo6bo! LifeWiki: Like Wikipedia but with more spaceships. [citation needed] BlinkerSpawn Posts: 1891 Joined: November 8th, 2014, 8:48 pm Location: Getting a snacker from R-Bee's ### Re: tlife I just sorted M. I. Wright's collections of T+G collisions: x = 593, y = 429, rule = tlifeo3bo3bobo3bobobobo2bo3bo2bobobobo2bo3bo3bobo19bo24bo22bo$7bo3bo34bo3bo18bobo20b2o22bo217b3o$2o2bo12bo5bo3bo5bo5b2o2bo25b2o22b2o21b3o23bo19bo22bo18bo17bo14bobo11bo15bo47b3o7bo9bo7bo$7bo3bo34bo93b2o20bobo18b2o17b2o17bo15b2o12bobo11b2o12bobo11bo5b3o4bo9bo7bo18bobo$obobo12bo5bobobo5bo5bobobo97b2o19b2o20b2o17b2o16b3o5b3o6bo4b3o5b2o5b3o5b2o4b3o4b2o5b3o3bo7bo3b2o18b3o16b2o$7bo3bo34bo2b2o143b3o16b3o14bo13bo14bo13bo6bo6bo4b3o10b2o$o2b2o12bo5bo3bo5bo5bo2b2o108b3o19b3o18bo18bo$7bo3bo34bo3bo13b3o21b3o21b3o15b3o20bo21bo$o3bo3bobo6bo5bo3bo2bobobobo2bo3bo3bobo15bo23bo23bo17bo13$68bo14bo$66b2o13b2o15bo14bo15bo17bo31bo14bo32bo$67b2o13b2o12b2o13b2o14b2o16b2o17bo12b2o13b2o17bo13b2o16bo15bo$97b2o13b2o14b2o16b2o14b2o14b2o13b2o14b2o15b2o13b2o14b2o83bo$163b2o45b2o30b2o14b2o9bo23bo17bo28b2o19bo153bo16bo$267b2o12bo9b2o16b2o19bo10b2o16b2o13bo16bo14bo12bo13bo68bo10b2o15b2o11bo15bo18bo13bo$268b2o9b2o11b2o16b2o16b2o30b2o10b2o15b2o13b2o11b2o12b2o17bo17bo15bo15b2o12b2o15b2o8b2o14b2o17b2o12b2o$280b2o47b2o42b2o15b2o13b2o11b2o12b2o14b2o16b2o14b2o17b2o39b2o14b2o17b2o12b2o$449b2o16b2o14b2o2$511bo16bo59bo$510bobo15bo26bo17b3o11bobo$498bo28bobo8b3o13b3o16b3o$415bo12b3o15bo17bo32b3o10b3o26bo34bo12b3o$175bo14bo32bo31bo81b3o17bo12bo30b3o10b3o11b3o14bobo16bo14b3o46bo10bo$79bo29bo15bo48bobo13bo31b3o13b3o13bobo32bo47b3o16bobo11bo15b3o12b3o25bo33bobo14bo$64bo14bo13b3o12bobo14bo16b3o15bo28bobo14b3o29b3o24bo23bo16b3o17bo11bo30bobo15bo14bo42b3o32bo$63b3o12bobo12b3o28bobo16bo15b3o12b3o30bo31bo14b3o8bo10b3o9bobo16bo17b3o28b3o28bo76bo$94bo13b3o32bo46bo16bo56bobo9b3o28bo62bo$79bo45bo151bo11bo$265bo10$73bo$71b2o20bo$72b2o17b2o$92b2o17bo12bo78bo105bo$109b2o11b2o14bo14bo14bo14bo17b2o16bo20bo16bo13bo15bo19b2o18bo24bo$110b2o11b2o11b2o13b2o13b2o13b2o19b2o13b2o19b2o15b2o12b2o14b2o21b2o15b2o23b2o16bo16bo18bo$137b2o13b2o13b2o13b2o34b2o19b2o15b2o12b2o14b2o38b2o23b2o13b2o15b2o17b2o28bo$367b2o15b2o17b2o25b2o18bo$431b2o15b2o$449b2o2$318bo24bo32bo17b3o$299b3o15bobo23bo31bobo16b3o25b3o16bo$248bo13bo15bo20b3o40bobo13b3o34bo26b3o15b3o$64bo129bo52bobo12bo14b3o20bo16b3o39bo15b3o45bo$63bobo18bo109bo15bo19b3o28bobo79bo15bo$84bo30bo43bo13b3o17bobo13b3o18b3o14b3o$63b3o17bobo16bo11bobo12bo13b3o13bo13b3o55bo30bo$101b3o24b3o12b3o12bobo13bo19bo$84bo29b3o27bo$159bo4$488bo$469bo16b2o$468b2o17b2o14bo21bo$398bo20bo14bo26bo39b2o20b2o$382bo13b2o19b2o13b2o25b2o41b2o20b2o$380b2o15b2o19b2o13b2o25b2o$21bo5bo2bobobobo3bob2o3bobo331b2o$21b2o3b2o11bo6bo3bo277bo187bo$33bo168bo124b2o165bo20bobo$21bobobobo11bo6bo155b2o103bo186bo$21bo2bo2bo5bo6bobo22bo26bo22bo189b2o39bo146bobo19b3o$43bo2bo18bobo22b2o23bobo22bo25bo23bo115b2o36b2o132b3o$21bo5bo5bo31b2o24b2o22b2o23bobo21b2o24bobo152b2o132bo14bo$43bo2bo3bo89b2o23b2o23b2o260bo26bo$21bo5bo2bobobobo2b2obo4bobo198b3o7bo16b3o132bo40b3o$229b3o3bo13bo8bobo15bo11bo120bobo12b3o$61b3o23b3o17b3o23b3o22b3o18b3o48bo3bo23b2o28bobo98bo35bo$62bo25bo19bo25bo24bo20bo35bo17b3o51b2o51b3o45bo19b3o13bo$215bo125b3o44bobo$208b3o4b3o124bo29b3o$209bo92b3o68bo15bo$303bo69bo$303bo3$131bo$131b2o7$223bo$221b2o$222b2o10bo31bo19bo27bo$232b2o17bo12b2o18b2o13bo12b2o22bo$78bo154b2o14b2o14b2o18b2o10b2o14b2o19b2o$76b2o24bo147b2o46b2o35b2o17bo$77b2o22bo250b2o17bo$101b3o249b2o14b2o$124bobo38b3o25b3o174b2o$49b2o73b2o15b3o22bo11bobo13bo12bo$49b2o74bo16bo8bo26b2o25b2o$94b3o52b2o28bo26b2o74bo$71b3o21bo22b3o29b2o109b3o17bobo10b3o47b3o$72bo46bo110bo16bo13b3o31bo48b3o14b3o$229bobo14b3o13bo18b3o11bo49bo16bo$327bo34bo$218b3o8b3o72b3o19b3o$219bo84b3o$219bo85bo15$130bo$128b2o36bo$129b2o17bo15b2o$146b2o17b2o61bo$147b2o34bo20bo21b2o$71bo109b2o19b2o23b2o$48b2o21bobo29b3o76b2o19b2o$47bo2bo20b2o11b3o3bobo11bo7bobo$48b2o12b3o20bo4b2o20b2o105bo$63bo27bo21bo81bo23bo$144bo29bo20bo22bobo$144bo12bo15b3o18bobo$143bobo10bobo60bo$125b3o67bo$126bo17bo11b3o$126bo13$121bo$120b2o$79bobo$79b2o19bobo$80bo19b2o68bo$101bo66b2o$169b2o33bo$50bo151b2o$49b2o152b2o$50bo23b3o19b3o42bo11bo$75bo21bo42b2o3b3o3b2o21bo$127bo18bo5b2o19b2o14bo$125b2o61b2o$126b2o$166bo28bo$99bo66bo27bobo$99b2o64bobo$118b3o73b3o$77bo41bo46bo$77b2o11$119bo18bo$117b2o17b2o$118b2o17b2o$77bo$76bo79bo20bo$76b3o75b2o19b2o$49bo105b2o19b2o$48bobo42b3o8bo$47bo2bo43bo7b2o$48b2o53b2o2$71b3o73bo$72bo73b3o19bo$167b3o$133b3o$115bo17b3o$114b3o17bo17$109bo13bo$92bo14b2o12b2o$90b2o16b2o12b2o15bo$91b2o44b2o$75bobo60b2o$49bo25b2o$48bobo25bo$48b2o2$68b3o$69bo2$129b3o$88bo24b3o14bo$87b3o9b3o12bo15bo$100bo13bo$100bo2$156b2o$157bo15$140bo$47bo2bo21bo65b2o$49b2o20bo67b2o$46b2o23b3o27bo$100bo13b3o3bo$100b3o12bo4bobo$120b2o$68b3o20b3o$69bo22bo43bo$135bobo2$135b3o6$160bo$160b2o6$8bo$8b2o3$70bo$70b2o96bo$166b2o$167b2o32bo$23bo5bo2bob3o3bob2o3bob2o148b2o$23b2o3b2o9bo6bo153b2o$32bo88b3o$23bobobobo2bo6bo6bo75bo3bobo$23bo2bo2bo3bobo4bobo4bobo76b2o$32bo10bo6bo76bo63b3o$23bo5bo2bo159bo$43bo6bo20bobo118bo$23bo5bo2bob3o2b2obo3b2obo21b2o$72bo67bo$139b2o2$68b3o93bo$69bo93bobo2$163b3o8$89bo$87b2o$88b2o2$73bo41bo$72b2o39b2o18bo$114b2o15b2o$48bo83b2o$48bobo19bo$48b2o13b3o4bobo12bo$64bo5b2o12b3o3$124bo$91bo13b3o16bo$90b2o13b3o15bobo$106bo$124bo7bo$113bo17b2o$112b2o6$93bo$91b2o$47b2o43b2o17bo$46bo2bo59b2o$45bob2obo10b3o46b2o$46bo2bo12bo7bo$47b2o20bo$69b3o3$101b3o$101b3o$84bo17bo$83bobo2$83b3o5$100bo$98b2o$99b2o2$76bo$76bobo$76b2o3$48b2o$47bo2bo40bo$46bo2bo41bo$47b2o21b3o17bobo$71bo$91bo6$77bo$76bo22bobo$48b2o26b3o20b2o$47bo2bo49bo$47bo2bo$48b2o16b3o20b3o$67bo22bo8$72bobo$49bo22b2o$48bobo22bo$49bo13b3o$64bo5$73bo$71b2o$72b2o$48b2o$48bobo$49b2o4$63b3o$64bo$64bo2$73bo$72bo$72b3o$47b2o$47b2o$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 Aidan F. Pierce A for awesome Posts: 1881 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 ### Re: tlife Gun for the 2c/6 using the latest 6G synthesis: x = 79, y = 59, rule = tlife39bo$21b2obo13bob2o$20bo2bo18bobo$22bo2bo16bobo$19b3o2b2o11bo7bo7b3o$20bo2bo2bo9b2o6bo8b3o$4bo16bo3bo11bo6bo7bo$4o2bo13b2o3bo13bo$6bo14bo2bo15b3o$6bo15bo17bo33b3o$o3b2o71bo$71b2o4bo$70b2o6bo$74bob2o$70bo5b2o$71b2ob2o$71b2ob2o$73bo7$33bo13bobo$2bo28bobo13b2o$bo30b2o14bo$ob2o2$3b2o44bo$2bobo45bo$2bobo43b3o2$7b2o$8b2o$7bo13b3o$22bobo$21bo2bo2$29bo27bo$29b2o26bo$28bobo25bobo$48bo$46b2ob2o6bo$51bo$51bo$9b3o31bo4bo12b2o$8bo2bo31bo3b2o11bobo4b2o$8bob2o30bo3bo5bo7bobo$9bo33bo5bobo7b2obobo$43b2o5bo9b5obo$30bo14b2o17b3o$28b2ob2o$28b2o3bo$28bob2obo$31bo2bo$27b2o3b2o$32b2o$31bo!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Posts: 1891
Joined: November 8th, 2014, 8:48 pm
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### Re: tlife

This soup produces what I think is a new p5:
x = 16, y = 16, rule = tlife2b4obo2bobob2o$5bo2bo3b2obo$2bobobo4b2o2bo$bo2b2o3b5o$o2bo2bob3ob3o$ob3o4b2obo2bo$3bo5bobo3bo$2bobob6o$2o3b3o2b2ob3o$3bo2b2obo3b2o$bo3b2obob2obo$7bob2o3bo$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 Aidan F. Pierce A for awesome Posts: 1881 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 ### Re: tlife New component: x = 15, y = 13, rule = tlife2bo9bo$obo9bobo$b2o9b2o$6b3o$7bo$bobo7bobo$2b2o7b2o$2bo9bo3$5bo3bo$4bobobobo$5b2ob2o! EDIT: Managed to finally synthesize the weird 23-bitter from 13G: x = 21, y = 17, rule = tlife6b2o$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 = tlife28bo$26b2o$14bobo10b2o$14b2o$15bo2$16b2o$16bobo$16bo6$2b2o10b2o$3b2o9b2o$2bo3b3o$6bo$7bo8$bo25bo$b2o23b2o$obo23bobo! LifeWiki: Like Wikipedia but with more spaceships. [citation needed] BlinkerSpawn Posts: 1891 Joined: November 8th, 2014, 8:48 pm Location: Getting a snacker from R-Bee's ### Re: tlife 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 = tlife5bo$5b2o$2b2o3bo$bobo3b2o$bo$2o7b2o$9bo$10b3o$12bo! Sphenocorona Posts: 480 Joined: April 9th, 2013, 11:03 pm ### Re: tlife ..this looks difficult: x = 16, y = 16, rule = tlife4bo2$4b2o$4bo$4bo$bo2b3o$b2o4bo$bo4bobo$6bo2bo$b2o4b2obo$o9bo2bo$bo8b4obo2$6bo2bo$4bobob3o$5bo!

Any hope for this?
x = 11, y = 11, rule = tlife3b3o3$o3b3o$o2bo3bo$o2bo3bo2bo$3bo3bo2bo$4b3o3bo3$5b3o!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Posts: 1891
Joined: November 8th, 2014, 8:48 pm
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### Re: tlife

12G synthesis of honeyloaf p5 (4 for eater + 8 shown below):
x = 22, y = 29, rule = tlife18bobo$18b2o$12bo6bo$11bo$o10b3o$b2o$2o6$10bo7b3o$8b3o7bo$7bo11bo$7b2o2$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.
Sphenocorona

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Joined: April 9th, 2013, 11:03 pm

### Re: tlife

11G honeyloaf along mostly the same lines:
x = 48, y = 31, rule = tlife45bo$43b2o$44b2o$37bo$37bobo$16bobo18b2o$17b2o$17bo$2bo$obo$b2o7$30b2o$15b2o13b2o$16b2o$15bo3b3o$19bo24b2o$20bo23bobo$44bo3$45b2o$45bobo$25b2o18bo$26b2o$25bo!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Posts: 1891
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### Re: tlife

What I think is a new T gun, from soup:
x = 16, y = 16, rule = tlife4o4b3o3bo$b3o6b2o2b2o$o3b2o6b4o$ob6obo$b2ob2obo4b4o$2b2ob2o7b2o$ob3o3bo3bo2bo$2obobob3ob3obo$o2bo2b2obo4b2o$3obobob3o2bobo$bo2bobo2bobo$b4o3b3ob3o$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 Aidan F. Pierce A for awesome Posts: 1881 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 ### Re: tlife I happened to glance at the screen at exactly the right time, and this showed up: x = 16, y = 16, rule = tlifebo3b3obo$2bo2bo2b2ob3obo$3b3o4bob3o$obob3ob2o3bo$5bo4b4obo$bobob3o3bobobo$2obob2o2b3obo$2ob3o2bo2b3o$3o3bo7b2o$o3b2o4b3obo$bobo2bo2b3o2bo$b8obob3o$obob4o2b3o2bo$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

Aidan F. Pierce

A for awesome

Posts: 1881
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1

### Re: tlife

x = 10, y = 10, rule = tlife5bo$3bobo$4b2o$bo$2bo3b2o$3o3b2o$4b2o2b2o$4b2o2b2o$6b2o$6b2o! Edit: Oscillators of infinitely many periods: x = 20, y = 24, rule = tlife8bo$8b2o$6b2o2bo$6b2o2b2o$4b2o2b2o6bo$4b2o2b2o6b2o$2b2o2b2o6b2o2bo$b3o2b2o6b2o2b2o$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

Aidan F. Pierce

A for awesome

Posts: 1881
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1

### Re: tlife

First natural occurrence of the 2c/4!
x = 16, y = 16, rule = tlife2b3ob3o3b3o$5b4o2b2ob2o$o3bob2o4bo2bo$2o2b2ob4o$o4bob4o3bo$o3bobo2b3o2b2o$bobo3b2o4bo$3b2obobo2bo2b2o$bo3bobo2b2obo$13o$2obobo4bobobo$2bo4b4ob2o$4obobob7o$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 Aidan F. Pierce A for awesome Posts: 1881 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 ### Re: tlife 4t synthesis of 2 ts: x = 10, y = 15, rule = TLifeHistory9.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! muzik Posts: 3466 Joined: January 28th, 2016, 2:47 pm Location: Scotland ### Re: tlife Can someone make a highlife version of this? Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace! muzik Posts: 3466 Joined: January 28th, 2016, 2:47 pm Location: Scotland ### Re: tlife 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@TABLEn_states:2neighborhood:Mooresymmetries:rotate4reflectvar 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}# Birth0,1,1,1,0,0,0,0,0,10,1,1,0,1,0,0,0,0,10,1,1,0,0,1,0,0,0,10,1,1,0,0,0,1,0,0,10,1,1,0,0,0,0,1,0,10,1,1,0,0,0,0,0,1,10,1,0,1,0,1,0,0,0,10,1,0,1,0,0,1,0,0,10,1,0,0,1,0,1,0,0,10,0,1,0,1,0,1,0,0,10,1,1,1,1,1,1,0,0,10,1,1,1,1,1,0,1,0,10,1,1,1,1,0,1,1,0,10,1,1,1,1,0,1,0,1,10,1,1,1,0,1,1,1,0,10,1,1,0,1,1,1,0,1,1# Survival1,1,1,0,0,0,0,0,0,11,1,0,1,0,0,0,0,0,11,1,0,0,1,0,0,0,0,11,0,1,0,1,0,0,0,0,11,0,1,0,0,0,1,0,0,11,1,1,1,0,0,0,0,0,11,1,1,0,1,0,0,0,0,11,1,1,0,0,1,0,0,0,11,1,1,0,0,0,1,0,0,11,1,1,0,0,0,0,1,0,11,1,1,0,0,0,0,0,1,11,1,0,1,0,1,0,0,0,11,1,0,1,0,0,1,0,0,11,1,0,0,1,0,1,0,0,11,0,1,0,1,0,1,0,0,11,1,1,1,0,0,1,0,0,1# Death1,a,b,c,d,e,f,g,h,0@COLORS@ICONScircles x = 5, y = 3, rule = B36_S2-i34q5o$5o$5o! This post was brought to you by the letter D, for dishes that Andrew J. Wade won't do. (Also Daniel, which happens to be me.) Current rule interest: B2ce3-ir4a5y/S2-c3-y drc Posts: 1664 Joined: December 3rd, 2015, 4:11 pm Location: creating useless things in OCA ### Re: tlife ThighLife :p Is this some sort of breeder? After a lot of generations, it creates more lines of replicators x = 575, y = 5, rule = B36_S2-i34q2b3o5b3o21b3o5b3o469b3o5b3o21b3o5b3o$bo3bo3bo3bo19bo3bo3bo3bo467bo3bo3bo3bo19bo3bo3bo3bo15bo$o5bobo5bo17bo5bobo5bo465bo5bobo5bo17bo5bobo5bo14b2o$bo3bo3bo3bo19bo3bo3bo3bo467bo3bo3bo3bo19bo3bo3bo3bo15bo$2b3o5b3o21b3o5b3o469b3o5b3o21b3o5b3o! Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace! muzik Posts: 3466 Joined: January 28th, 2016, 2:47 pm Location: Scotland ### Re: tlife One time reflector x = 17, y = 4, rule = B36_S2-i34q2bo$o2b2o$2bo12b2o$15b2o!
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik

Posts: 3466
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: tlife

muzik wrote:One time reflector

x = 17, y = 4, rule = B36_S2-i34q2bo$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...! dvgrn Moderator Posts: 5830 Joined: May 17th, 2009, 11:00 pm Location: Madison, WI ### Re: tlife A for awesome wrote:Possibly synthesizable predecessor to the T eater: x = 6, y = 8, rule = tlife3bo2$3o2$3b2o$2b3o$2bo2bo$3b2o!

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

3G+1T synth:
x = 49, y = 64, rule = tlife2bo$obo$b2o20$48bo$47b2o$48bo10$16b2o$15bobo$17bo25$b2o$2b2o$bo! BlinkerSpawn wrote:Tripole predecessor and potential base SL: x = 16, y = 13, rule = tlife13bo$11b2o$12b2o4$2b2o9bo$o2bo6b2o$2o8b3o$14b2o$2o9b2o$obo8bobo$bo10bo!

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

5G synth:
x = 51, y = 48, rule = tlife48bobo$48b2o$49bo4$2bo$obo$b2o7$10bo$11b2o$10b2o26$40b2o$40bobo$16b2o22bo$15bobo$17bo! EDIT: 7G bipole synthesis x = 45, y = 58, rule = tlife3bo$bobo$2b2o38bobo$42b2o$43bo2$bo$2bo$3o4$37bo$36bo$36b3o22$39b2o$39bobo$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).
AbhpzTa

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