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tlife (B3/S2-i34q)

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Re: tlife (B3/S2-i34q)

Postby wildmyron » May 19th, 2019, 11:51 pm

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-i34q
2b2o$2b2o3bo$ob2o3b2obo$bo6bobo$9bo9$9bo$8bobo6bo$8bob2o3b2obo$11bo3b
2o$15b2o!

I suppose that counts as 14G (including the cleanup) but I'm sure there's a cheaper way to produce the 2G reaction.
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Re: tlife (B3/S2-i34q)

Postby A for awesome » May 20th, 2019, 12:15 am

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-i34q
12bo20bo$11bobo18bobo$10bobobo16bobobo$10bobobo16bobobo$8b2obobob2o12b
2obobob2o$8bo2bobo2bo12bo2bobo2bo$4b2o4bobobo4b2o4b2o4bobobo4b2o$3bo2b
o2b2o3b2o2bo2bo2bo2bo2b2o3b2o2bo2bo$4b2o2bo2b3o2bo2b2o4b2o2bo2b3o2bo2b
2o$6b2obo5bob2o8b2obo5bob2o$6bo2bob3obo2bo8bo2bob3obo2bo$4b2o2bobobob
obo2b2o4b2o2bobobobobo2b2o$5bob2o7b2obo3bo2bob2o7b2obo$5bo2bo2bobo2bo
2bo3b2obo2bo2bobo2bo2bo$6bobobobobobobo5bo2bobobobobobobo$2bo4bobobob
obobo4bobo3bobobobobobo4bo$2b3o4bo5bo4b3ob2o4bo5bo4b3o$2o3bo2bobobobo
bo2bo3bo2bo2bobobobobo2bo3b2o$o2b2o2bo2bobobo2bo2b2obobo2bo2bobobo2bo
2b2o2bo$b2obob2obob3obob2obobo2bob2obob3obob2obob2o$4bo2bobo2bo2bobo2b
o2b3o2bobo2bo2bobo2bo$4b2o13b2o5bo13b2o$8b2o5b2o6b3o3b2o5b2o$23bo$12b
o20bo2$12bobo$11bo2bo$12bobo2$12bo20bo$23bo$8b2o5b2o6b3o3b2o5b2o$4b2o
13b2o5bo13b2o$4bo2bobo2bo2bobo2bo2b3o2bobo2bo2bobo2bo$b2obob2obob3obo
b2obobo2bob2obob3obob2obob2o$o2b2o2bo2bobobo2bo2b2obobo2bo2bobobo2bo2b
2o2bo$2o3bo2bobobobobo2bo3bo2bo2bobobobobo2bo3b2o$2b3o4bo5bo4b3ob2o4b
o5bo4b3o$2bo4bobobobobobo4bobo3bobobobobobo4bo$6bobobobobobobo5bo2bob
obobobobobo$5bo2bo2bobo2bo2bo3b2obo2bo2bobo2bo2bo$5bob2o7b2obo3bo2bob
2o7b2obo$4b2o2bobobobobo2b2o4b2o2bobobobobo2b2o$6bo2bob3obo2bo8bo2bob
3obo2bo$6b2obo5bob2o8b2obo5bob2o$4b2o2bo2b3o2bo2b2o4b2o2bo2b3o2bo2b2o
$3bo2bo2b2o3b2o2bo2bo2bo2bo2b2o3b2o2bo2bo$4b2o4bobobo4b2o4b2o4bobobo4b
2o$8bo2bobo2bo12bo2bobo2bo$8b2obobob2o12b2obobob2o$10bobobo16bobobo$10b
obobo16bobobo$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-i34q
9b2o2$6bo6bo$6bo6bo$7b6o$6bo6bo3$9b2o$3b2o3bo2bo3b2o$3b2o2b2o2b2o2b2o
2$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-i34q
16$15bo$13bobo$14b2o8$39bobo$39b2o$40bo8$37b2o$27b3o7bobo$29bo7bo$28bo!

5G super^2 pond:
x = 0, y = 0, rule = B3/S2-i34q
19$42bobo$42b2o$19bobo21bo$20b2o$20bo14$27b3o7b2o$29bo7bobo$28bo8bo!

7G tripole with (probably) reducible cleanup:
x = 48, y = 33, rule = B3/S2-i34q
47bo$bo43b2o$2bo43b2o$3o7$40bobo$40b2o$bo33bo5bo$2bo32bobo$3o32b2o12$
16b3o$18bo$17bo2$26b2o$25b2o$27bo!

4G T eater:
x = 0, y = 0, rule = B3/S2-i34q
26$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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Re: tlife (B3/S2-i34q)

Postby BlinkerSpawn » June 1st, 2019, 7:33 pm

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-i34q
8bo20bo$7bobo18bobo$6bobobo16bobobo$6bo3bo16bo3bo$4b2ob3ob2o12b2ob3ob
2o$5bo5bo14bo5bo$5bob3obo14bob3obo$3b2obobobob2o10b2obobobob2o$4bo7bo
12bo7bo$4bo2bobo2bo12bo2bobo2bo$3b2obobobob2o10b2obobobob2o$5bobobobo
14bobobobo$b3obo5bob3o6b3obo5bob3o$bo2bobobobobo2bo6bo2bobobobobo2bo$
3bo2bobobo2bo10bo2bobobo2bo$2b2obob3obob2o8b2obob3obob2o$o2bobo2bo2bob
o2bo4bo2bobo2bo2bobo2bo$2o13b2o4b2o13b2o$4b2o5b2o12b2o5b2o2$8bo20bo2$
8bobo$7bo2bo$8bobo2$8bo20bo2$4b2o5b2o12b2o5b2o$2o13b2o4b2o13b2o$o2bobo
2bo2bobo2bo4bo2bobo2bo2bobo2bo$2b2obob3obob2o8b2obob3obob2o$3bo2bobobo
2bo10bo2bobobo2bo$bo2bobobobobo2bo6bo2bobobobobo2bo$b3obo5bob3o6b3obo
5bob3o$5bobobobo14bobobobo$3b2obobobob2o10b2obobobob2o$4bo2bobo2bo12bo
2bobo2bo$4bo7bo12bo7bo$3b2obobobob2o10b2obobobob2o$5bob3obo14bob3obo$
5bo5bo14bo5bo$4b2ob3ob2o12b2ob3ob2o$6bo3bo16bo3bo$6bobobo16bobobo$7bob
o18bobo$8bo20bo!

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

Sure, here's 5G:
x = 36, y = 24, rule = B3/S2-i34q
bo$2bo$3o9$7bo25bo$8bo24bobo$6b3o24b2o4$22b3o$24bo$23bo2$24b2o$23b2o$
25bo!
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