tlife (B3/S2-i34q)

For discussion of other cellular automata.

Re: tlife (B3/S2-i34q)

Wow, some fantastic results there.

A for awesome wrote:EDIT 7: Loading dock has appeared in asymmetry (has not happened in normal Life):
<snip rle>

I just saw that too. Cant see how to synthesize it from that soup, but the first soup from C2_2 uses this mechanism:
x = 19, y = 18, rule = B3/S2-i34q2b2o$2b2o3bo$ob2o3b2obo$bo6bobo$9bo9$9bo$8bobo6bo$8bob2o3b2obo$11bo3b2o$15b2o! I suppose that counts as 14G (including the cleanup) but I'm sure there's a cheaper way to produce the 2G reaction. The latest version of the 5S Project contains over 47,000 spaceships. Tabulated pages up to period 160 are available on the LifeWiki. wildmyron Posts: 1108 Joined: August 9th, 2013, 12:45 am Re: tlife (B3/S2-i34q) As a side note, p7 dot sparkers imply the existence of oscillators with periods 196+70N for all N >= 0, I believe. (P196 shown below, featuring what is probably the most difficult weld I've ever undertaken successfully:) x = 46, y = 55, rule = B3/S2-i34q12bo20bo$11bobo18bobo$10bobobo16bobobo$10bobobo16bobobo$8b2obobob2o12b2obobob2o$8bo2bobo2bo12bo2bobo2bo$4b2o4bobobo4b2o4b2o4bobobo4b2o$3bo2bo2b2o3b2o2bo2bo2bo2bo2b2o3b2o2bo2bo$4b2o2bo2b3o2bo2b2o4b2o2bo2b3o2bo2b2o$6b2obo5bob2o8b2obo5bob2o$6bo2bob3obo2bo8bo2bob3obo2bo$4b2o2bobobobobo2b2o4b2o2bobobobobo2b2o$5bob2o7b2obo3bo2bob2o7b2obo$5bo2bo2bobo2bo2bo3b2obo2bo2bobo2bo2bo$6bobobobobobobo5bo2bobobobobobobo$2bo4bobobobobobo4bobo3bobobobobobo4bo$2b3o4bo5bo4b3ob2o4bo5bo4b3o$2o3bo2bobobobobo2bo3bo2bo2bobobobobo2bo3b2o$o2b2o2bo2bobobo2bo2b2obobo2bo2bobobo2bo2b2o2bo$b2obob2obob3obob2obobo2bob2obob3obob2obob2o$4bo2bobo2bo2bobo2bo2b3o2bobo2bo2bobo2bo$4b2o13b2o5bo13b2o$8b2o5b2o6b3o3b2o5b2o$23bo$12bo20bo2$12bobo$11bo2bo$12bobo2$12bo20bo$23bo$8b2o5b2o6b3o3b2o5b2o$4b2o13b2o5bo13b2o$4bo2bobo2bo2bobo2bo2b3o2bobo2bo2bobo2bo$b2obob2obob3obob2obobo2bob2obob3obob2obob2o$o2b2o2bo2bobobo2bo2b2obobo2bo2bobobo2bo2b2o2bo$2o3bo2bobobobobo2bo3bo2bo2bobobobobo2bo3b2o$2b3o4bo5bo4b3ob2o4bo5bo4b3o$2bo4bobobobobobo4bobo3bobobobobobo4bo$6bobobobobobobo5bo2bobobobobobobo$5bo2bo2bobo2bo2bo3b2obo2bo2bobo2bo2bo$5bob2o7b2obo3bo2bob2o7b2obo$4b2o2bobobobobo2b2o4b2o2bobobobobo2b2o$6bo2bob3obo2bo8bo2bob3obo2bo$6b2obo5bob2o8b2obo5bob2o$4b2o2bo2b3o2bo2b2o4b2o2bo2b3o2bo2b2o$3bo2bo2b2o3b2o2bo2bo2bo2bo2b2o3b2o2bo2bo$4b2o4bobobo4b2o4b2o4bobobo4b2o$8bo2bobo2bo12bo2bobo2bo$8b2obobob2o12b2obobob2o$10bobobo16bobobo$10bobobo16bobobo$11bobo18bobo$12bo20bo! Also, the symmetric extended 1c/2 has appeared several more times, and has overtaken the asymmetric version as the second-most-common period 2 ship. All occurrences so far form in pretty much the same way, though, so no new leads on an improved synthesis. EDIT: I'm having trouble finding p7 domino sparkers, which is unfortunate but not as important as dot/thumb sparkers are due to the existence of T shuttles. Here's the longest partial I have so far: x = 20, y = 29, rule = B3/S2-i34q9b2o2$6bo6bo$6bo6bo$7b6o$6bo6bo3$9b2o$3b2o3bo2bo3b2o$3b2o2b2o2b2o2b2o2$6bobo2bobo$4b5o2b5o$3bo4bo2bo4bo$4b12o$6bo2b2o2bo2$7b2o2b2o$6b2o4b2o$5bobo4bobo$bo3bobo4bobo3bo$obo5bo2bo5bobo$obo6b2o6bobo$bob2o10b2obo$3bo3bo4bo3bo$3bo3b6o3bo$4b2o8b2o$5bo8bo!

EDIT 2: 4G 2c/6:
x = 0, y = 0, rule = B3/S2-i34q16$15bo$13bobo$14b2o8$39bobo$39b2o$40bo8$37b2o$27b3o7bobo$29bo7bo$28bo!

5G super^2 pond:
x = 0, y = 0, rule = B3/S2-i34q19$42bobo$42b2o$19bobo21bo$20b2o$20bo14$27b3o7b2o$29bo7bobo$28bo8bo!

7G tripole with (probably) reducible cleanup:
x = 48, y = 33, rule = B3/S2-i34q47bo$bo43b2o$2bo43b2o$3o7$40bobo$40b2o$bo33bo5bo$2bo32bobo$3o32b2o12$16b3o$18bo$17bo2$26b2o$25b2o$27bo!

4G T eater:
x = 0, y = 0, rule = B3/S2-i34q26$43bobo$43b2o$44bo5$34bo$33b2o$33bobo2$27b3o$29bo$28bo7$20b3o$22bo$21bo!

(All from stdin_WM_4G.)
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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Aidan F. Pierce

A for awesome

Posts: 1803
Joined: September 13th, 2014, 5:36 pm
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Re: tlife (B3/S2-i34q)

A for awesome wrote:As a side note, p7 dot sparkers imply the existence of oscillators with periods 196+70N for all N >= 0, I believe. (P196 shown below, featuring what is probably the most difficult weld I've ever undertaken successfully:)
rle

Sadly, that hard work isn't necessary:
x = 38, y = 47, rule = B3/S2-i34q8bo20bo$7bobo18bobo$6bobobo16bobobo$6bo3bo16bo3bo$4b2ob3ob2o12b2ob3ob2o$5bo5bo14bo5bo$5bob3obo14bob3obo$3b2obobobob2o10b2obobobob2o$4bo7bo12bo7bo$4bo2bobo2bo12bo2bobo2bo$3b2obobobob2o10b2obobobob2o$5bobobobo14bobobobo$b3obo5bob3o6b3obo5bob3o$bo2bobobobobo2bo6bo2bobobobobo2bo$3bo2bobobo2bo10bo2bobobo2bo$2b2obob3obob2o8b2obob3obob2o$o2bobo2bo2bobo2bo4bo2bobo2bo2bobo2bo$2o13b2o4b2o13b2o$4b2o5b2o12b2o5b2o2$8bo20bo2$8bobo$7bo2bo$8bobo2$8bo20bo2$4b2o5b2o12b2o5b2o$2o13b2o4b2o13b2o$o2bobo2bo2bobo2bo4bo2bobo2bo2bobo2bo$2b2obob3obob2o8b2obob3obob2o$3bo2bobobo2bo10bo2bobobo2bo$bo2bobobobobo2bo6bo2bobobobobo2bo$b3obo5bob3o6b3obo5bob3o$5bobobobo14bobobobo$3b2obobobob2o10b2obobobob2o$4bo2bobo2bo12bo2bobo2bo$4bo7bo12bo7bo$3b2obobobob2o10b2obobobob2o$5bob3obo14bob3obo$5bo5bo14bo5bo$4b2ob3ob2o12b2ob3ob2o$6bo3bo16bo3bo$6bobobo16bobobo$7bobo18bobo$8bo20bo!

EDIT:
A for awesome wrote:7G tripole with (possibly reducible) cleanup:
rle

Sure, here's 5G:
x = 36, y = 24, rule = B3/S2-i34qbo$2bo$3o9$7bo25bo$8bo24bobo$6b3o24b2o4$22b3o$24bo$23bo2$24b2o$23b2o\$25bo!
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