## tlife (B3/S2-i34q)

For discussion of other cellular automata.
A for awesome
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### Re: tlife

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

Code: Select all

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

Posts: 1932
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### Re: tlife

A for awesome wrote:Edit 2: Another S-to-G, which looks less likely:

Code: Select all

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? LifeWiki: Like Wikipedia but with more spaceships. [citation needed] A for awesome Posts: 1942 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 Contact: ### Re: tlife BlinkerSpawn wrote: A for awesome wrote:Edit 2: Another S-to-G, which looks less likely: Code: Select all 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

Aidan F. Pierce

A for awesome
Posts: 1942
Joined: September 13th, 2014, 5:36 pm
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### Re: tlife

A 4SL tripole seed:

Code: Select all

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

Aidan F. Pierce

Posts: 1932
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### Re: tlife

Seed gives this reaction:

Code: Select all

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:

Code: Select all

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!

LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Posts: 1932
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:

Code: Select all

x = 18, y = 13, rule = tlife
o$2ob3o$o2b3o$4bo$15bo$15b3o$15bo4$14b3o$15bo$15bo!  Leads to this simple predecessor: Code: Select all x = 12, y = 6, rule = tlife 2o$obo7bo$2b2o5b2o$b2o5bo2bo$9b2o$10bo!

And this 6G synthesis:

Code: Select all

x = 28, y = 13, rule = tlife
4bo8bo$5b2o6bobo$4b2o7b2o4$20bobo$21b2o$21bo$b2o$obo22b3o$2bo22b3o$26b o!  EDIT: New 14G synth: Code: Select all x = 27, y = 22, rule = tlife 4bo$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] A for awesome Posts: 1942 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 Contact: ### Re: tlife I just sorted M. I. Wright's collections of T+G collisions: Code: Select all 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 Aidan F. Pierce BlinkerSpawn Posts: 1932 Joined: November 8th, 2014, 8:48 pm Location: Getting a snacker from R-Bee's ### Re: tlife Gun for the 2c/6 using the latest 6G synthesis: Code: Select all 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!

LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

A for awesome
Posts: 1942
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1
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### Re: tlife

This soup produces what I think is a new p5:

Code: Select all

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 Aidan F. Pierce BlinkerSpawn Posts: 1932 Joined: November 8th, 2014, 8:48 pm Location: Getting a snacker from R-Bee's ### Re: tlife New component: Code: Select all 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: Code: Select all 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:

Code: Select all

x = 29, y = 29, rule = tlife
28bo$26b2o$14bobo10b2o$14b2o$15bo2$16b2o$16bobo$16bo6$2b2o10b2o$3b2o9b 2o$2bo3b3o$6bo$7bo8$bo25bo$b2o23b2o$obo23bobo!  LifeWiki: Like Wikipedia but with more spaceships. [citation needed] Sphenocorona Posts: 484 Joined: April 9th, 2013, 11:03 pm ### 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): Code: Select all x = 13, y = 9, rule = tlife 5bo$5b2o$2b2o3bo$bobo3b2o$bo$2o7b2o$9bo$10b3o$12bo! BlinkerSpawn Posts: 1932 Joined: November 8th, 2014, 8:48 pm Location: Getting a snacker from R-Bee's ### Re: tlife ..this looks difficult: Code: Select all 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?

Code: Select all

x = 11, y = 11, rule = tlife
3b3o3$o3b3o$o2bo3bo$o2bo3bo2bo$3bo3bo2bo$4b3o3bo3$5b3o!

LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Sphenocorona
Posts: 484
Joined: April 9th, 2013, 11:03 pm

### Re: tlife

12G synthesis of honeyloaf p5 (4 for eater + 8 shown below):

Code: Select all

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.

Posts: 1932
Joined: November 8th, 2014, 8:48 pm
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### Re: tlife

11G honeyloaf along mostly the same lines:

Code: Select all

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!

LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

A for awesome
Posts: 1942
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1
Contact:

### Re: tlife

What I think is a new T gun, from soup:

Code: Select all

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 Aidan F. Pierce A for awesome Posts: 1942 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 Contact: ### Re: tlife I happened to glance at the screen at exactly the right time, and this showed up: Code: Select all 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

Aidan F. Pierce

A for awesome
Posts: 1942
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1
Contact:

### Re: tlife

Code: Select all

x = 10, y = 10, rule = tlife
5bo$3bobo$4b2o$bo$2bo3b2o$3o3b2o$4b2o2b2o$4b2o2b2o$6b2o$6b2o!  Edit: Oscillators of infinitely many periods: Code: Select all 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

Aidan F. Pierce

A for awesome
Posts: 1942
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1
Contact:

### Re: tlife

First natural occurrence of the 2c/4!

Code: Select all

x = 16, y = 16, rule = tlife
3bo3bo19bo3bo3bo3bo15bo$o5bobo5bo17bo5bobo5bo465bo5bobo5bo17bo5bobo5bo 14b2o$bo3bo3bo3bo19bo3bo3bo3bo467bo3bo3bo3bo19bo3bo3bo3bo15bo$2b3o5b3o 21b3o5b3o469b3o5b3o21b3o5b3o!  Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace! muzik Posts: 3633 Joined: January 28th, 2016, 2:47 pm Location: Scotland ### Re: tlife One time reflector Code: Select all x = 17, y = 4, rule = B36_S2-i34q 2bo$o2b2o$2bo12b2o$15b2o!

Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

dvgrn
Moderator
Posts: 6163
Joined: May 17th, 2009, 11:00 pm
Contact:

### Re: tlife

muzik wrote:One time reflector

Code: Select all

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...! AbhpzTa Posts: 481 Joined: April 13th, 2016, 9:40 am Location: Ishikawa Prefecture, Japan ### Re: tlife A for awesome wrote:Possibly synthesizable predecessor to the T eater: Code: Select all x = 6, y = 8, rule = tlife 3bo2$3o2$3b2o$2b3o$2bo2bo$3b2o!
(December 29th, 2015, 10:01 am)
(Re: tlife)

3G+1T synth:

Code: Select all

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: Code: Select all x = 16, y = 13, rule = tlife 13bo$11b2o$12b2o4$2b2o9bo$o2bo6b2o$2o8b3o$14b2o$2o9b2o$obo8bobo$bo10bo
!
(January 3rd, 2016, 1:31 pm)

5G synth:

Code: Select all

x = 51, y = 48, rule = tlife
48bobo$48b2o$49bo4$2bo$obo$b2o7$10bo$11b2o$10b2o26$40b2o$40bobo$16b2o 22bo$15bobo$17bo! EDIT: 7G bipole synthesis Code: Select all x = 45, y = 58, rule = tlife 3bo$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).