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tlife (B3/S2-i34q)

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Re: tlife

Postby A for awesome » December 17th, 2015, 6:51 pm

Just finished a 100000-soup haul; here are some highlights:
Bipole precursor (may lead to a synthesis):
x = 15, y = 12, rule = tlife
6bo$5b2o$5bo$6b2o4b2o$6b3o2bo2bo$12b2o3$12b2o$bo10b2o$b2o$obo!

Cis-longboat on cap (also maybe synthesizable):
x = 16, y = 16, rule = tlife
4obobo4bo$bob2o2b4o3bo$ob4o6b2obo$ob3o2b3o3bobo$4b3obobobo$bo3bob2o3bo
bo$4b2o4b3ob2o$b2ob4obo2b2o$3b2o3bo$b2ob4o2b4obo$3b4ob2ob3o$ob2o5bo2bo
bo$2ob2obo3b5o$bobo3bo2b2obo$ob2obobo2b2o$b7obo4bo!

Another bookend-on-bun synthesis:
x = 18, y = 23, rule = tlife
14bo$13bo$13b3o$10b2o$9b2o$11bo5$5bo$3bobo$4b2o5$16b2o$15b2o$b2o14bo$o
bo4b2o$2bo5b2o$7bo!

The objects that occurred multiple times were:

block, 166580
beehive, 88341
loaf, 31003
t, 27163
glider, 26594
boat, 20013
mango, 13825
pond, 13247
tub, 6016
ship, 5925
p160, 4668
block-tie, 3272
ant, 2086
cap, 2059
honeycomb, 1730
ship-tie, 1463
cis-mirrored r-bee, 1088
long boat, 664
long barge, 512
toad, 409
barge, 336
block-tie-ship, 291
long ship, 124
16_big_honeycomb, 120
carrier, 49
eater, 48
OVERSIZED, 44
beehive at beehive, 32
snake, 21
block-tie-boat, 15
shillelagh, 15
boat tie ship,11
paperclip, 10
very long boat, 8
twit,5
hat,4
trans-boat with tail, 4
block and cap, 4
loaf siamese loaf, 4
xs11_g8kc33z01, 3
cis-hook and r-bee, 2
cis-loaf with tail, 2
clock, 2
canoe, 2

Edit: An unusual 30-cell p2 from a D4_x4 soup:
x = 27, y = 27, rule = tlife
9bo$8bo$8bobo$8b3o5$b3o$o2bo$2b2o2$24b3o$24bo$25bo10$12b2o$12bobo$12bo
!
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 » December 17th, 2015, 11:06 pm

The cap-on-longboat component:
x = 7, y = 13, rule = tlife
b2ob2o$obobobo$obobobo$bo3bo5$3bo$2b3o$bo2bo$5bo$3bo!
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Re: tlife

Postby A for awesome » December 18th, 2015, 3:57 pm

Does anyone know a domino spark synth that can complete this? (To clarify, this was not from soup)
x = 30, y = 22, rule = tlife
3bo$3bo$2b3o$24bo2$23bobo$22b2ob2o$21bo5bo$2o3b2o17bo4bo$2o3b2o14b2o3b
2obo2$26bo5$6bo$7b2o$6b2o$2b3o$4bo$3bo!

Soup produces a pair of closely-spaced ants:
x = 16, y = 16, rule = tlife
3o2bob6obo$o2bo2b2ob4o$ob5o3b3o$b3obob2o3b2o$ob8o4b2o$2o3b2ob2obob2o$
4bo4b4o$3o2bo3b4o$7o3bobobo$4bob2obobob2o$ob2obobo2bobo$4ob2obob2obo$
2b6obob2ob2o$bobobobo2bob2o$2bobobo2b3obobo$4o3bob4o2bo!

A precursor for a very weird-looking 17-cell SL:
x = 13, y = 11, rule = tlife
4bo$4bo$3bo$3bo$4bo$2bo$bobo$o2bo3b2ob2o$obo3bo5bo$bo5b2ob2o$8b3o!

The largest SL I have seen out of soup:
x = 16, y = 16, rule = tlife
2b2obobo2b3ob2o$obob2o2b3o3b2o$b2obo4b2o4bo$b2o3b2obo$b2o5b2ob2o$b3ob
2o4bobobo$2o2bob4obob3o$2ob5o3b2ob2o$b2o3b4obobobo$bob2o3bob2o2b2o$7ob
3obo$3obob2obo4b2o$b2o2b3ob3ob2o$b5o2b3obob2o$2bo4b4o4bo$3o2bo2b2o2b2o
!
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 » December 18th, 2015, 7:42 pm

Completed synthesis of half-extended c/2 and found core reaction for dove adding component:
x = 38, y = 23, rule = tlife
16bo$3bo10b2o$3bo11b2o$2b3o5$11bo23b2o$2o3b2o3bobo22b2o$2o3b2o3bobo24b
o$11bo23b2o$35b2o$34bo4$6bo8b2o16b2o$7b2o5b2o16bo2bo$6b2o8bo16b2o$2b3o
$4bo$3bo!
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Re: tlife

Postby drc » December 24th, 2015, 11:18 pm

Is this worth posting?

@RULE guntlife
@TABLE
n_states:2
neighborhood:Moore
symmetries:rotate4reflect

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
0,0,1,0,1,1,1,1,0,1
0,1,1,1,1,1,1,0,0,1
1,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0
1,1,0,0,0,1,0,0,0,0
1,1,1,1,1,0,0,0,0,0
1,1,1,1,0,1,0,0,0,0
1,1,1,0,1,1,0,0,0,0
1,1,1,0,1,0,1,0,0,0
1,1,1,0,1,0,0,1,0,0
1,1,1,0,1,0,0,0,1,0
1,1,1,0,0,1,1,0,0,0
1,1,1,0,0,1,0,1,0,0
1,1,1,0,0,1,0,0,1,0
1,1,1,0,0,0,1,1,0,0
1,1,0,1,0,1,0,1,0,0
1,0,1,0,1,0,1,0,1,0
1,0,0,0,1,1,1,1,1,0
1,0,0,1,0,1,1,1,1,0
1,0,0,1,1,0,1,1,1,0
1,0,0,1,1,1,0,1,1,0
1,0,0,1,1,1,1,0,1,0
1,0,0,1,1,1,1,1,0,0
1,0,1,0,1,0,1,1,1,0
1,0,1,0,1,1,0,1,1,0
1,0,1,1,0,1,0,1,1,0
1,1,0,1,0,1,0,1,1,0
1,0,0,1,1,1,1,1,1,0
1,0,1,0,1,1,1,1,1,0
1,0,1,1,0,1,1,1,1,0
1,0,1,1,1,0,1,1,1,0
1,1,0,1,0,1,1,1,1,0
1,1,0,1,1,1,0,1,1,0
1,0,1,1,1,1,1,1,1,0
1,1,0,1,1,1,1,1,1,0
1,1,1,1,1,1,1,1,1,0
@COLORS
0 0 0 0
1 255 255 255


x = 5, y = 4, rule = guntlife
b3o$o$ob2o$o2b2o!
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Re: tlife

Postby drc » December 24th, 2015, 11:45 pm

Period 108 T-gun:

x = 71, y = 23, rule = guntlife
7bo55bo$7b3o51b3o$10bo49bo$9b2o49b2o4$28bo13bo$26b3o13b3o$25bo19bo$25b
2o17b2o$8bo2b2o45b4o$8bob2o46b3o2bo$8bo53bo$9b3o49bo$60bo4$2b2o63b2o$b
obo63bobo$bo67bo$2o67b2o!


Period 1188 T-gun. Remove eater for double barrel:

x = 71, y = 87, rule = guntlife
7bo55bo$7b3o51b3o$10bo49bo$9b2o49b2o4$28bo13bo$26b3o13b3o$25bo19bo$25b
2o17b2o$8bo2b2o45b4o$8bob2o46b3o2bo$8bo53bo$9b3o49bo$60bo4$2b2o63b2o$b
obo63bobo$bo67bo$2o67b2o17$18b2o$18b2o$16b2o$15bo2b2o$16bo2bo$17b2o20$
2o67b2o$bo67bo$bobo63bobo$2b2o63b2o4$60bo$9b3o49bo$8bo53bo$8bob2o46b3o
2bo$8bo2b2o45b4o$25b2o17b2o$25bo19bo$26b3o13b3o$28bo13bo4$9b2o49b2o$
10bo49bo$7b3o51b3o$7bo55bo!


Period 540 Ant gun:

x = 99, y = 84, rule = guntlife
35bo55bo$35b3o51b3o$38bo49bo$37b2o49b2o4$56bo13bo$54b3o13b3o$53bo19bo$
53b2o17b2o2$50b3o$52bo$51bo3$39bo46b2o$39b2obo42bo2bo$40bobo41b2ob2o6b
2o$42bo41bo2b2o6bobo$39b3o42b3o10bo$85bo11b2o7$20bo$20bobo$20b2o16$2b
2o$bobo$bo$2o12$39b3o$42bo$40bobo$39b2obo$39bo3$51bo$52bo$50b3o2$53b2o
$53bo$54b3o$56bo4$37b2o$38bo$35b3o$35bo!
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.)
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Re: tlife

Postby BlinkerSpawn » December 25th, 2015, 10:37 am

drc wrote:Is this worth posting?

B35j6a/S2-i34q


x = 5, y = 4, rule = guntlife
b3o$o$ob2o$o2b2o!

It looks engineerable to me. I'll look at it over the next few days and see what can be done in it.
EDIT: A 4G minimum-spacing T front insertion:
x = 54, y = 34, rule = guntlife
51bobo$51b2o$52bo10$5bo$6bo$4b3o5$25b2o$24bo2bo$24bobo$25b2o9$2bo$3o$
2bo!
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Re: tlife

Postby A for awesome » December 27th, 2015, 4:06 pm

The first t eater variant I have seen from soup:
x = 16, y = 16, rule = tlife
bob4obo2b4o$b2o2b4obobobo$obo2bob3o2b2obo$bo4bob3ob2obo$b2ob2obo3b5o$
2o2bobo4bob3o$bob2o6bob3o$6b3o2b3o$2o2b3o$3o2b3ob2obo$o9bob2obo$4ob2ob
obo4bo$b3o3bob2o2bobo$2bob2obobob3o$2bob3ob3o2b3o$4bo3bo6bo!

A seed for 2 closely-spaced ants:
x = 9, y = 16, rule = tlife
bo$obo$bo7$4b3o$3bo2bo$4b2o3$7b2o$7b2o!

Three blocks attached diagonally:
x = 16, y = 16, rule = tlife
bobo2bo2bo5bo$3b3obobo4b2o$bo3bo3bo3b2o$3bo6b6o$obo2bob2ob2obobo$b2o2b
o6b2o$3b2o2bob6o$obo3bo3b3ob2o$2b2ob3o2bob3o$bob2obo3bo3b2o$b3obob2o5b
o$obob2o2bob3o2bo$o8bo3b3o$bobo2b2obob5o$o7bob2ob3o$7b4o2bo!

A predecessor for a 23-cell SL:
x = 6, y = 8, rule = tlife
3b2o$3b2o3$2b3o$bo3bo$o4bo$2o!

A probably overly complicated final step for a bipole synthesis:
x = 19, y = 21, rule = tlife
bo8bo$2bo2b2o2bo$3obo2bob3o$5b2o2$15b2o$15b2o$6bo8b2obo$6b3o2b2o4bo$9b
o2bo$6b2ob2o$5bobo$5bobob2o$6bo2bo$9bobo4bo$10bobo2b2o$11bo3bobo2$7b2o
$6bobo$8bo!

I have no idea how to make the original SL.

Edit: An 8-glider clock synthesis (9 if T's are counted as 2):
x = 17, y = 14, rule = tlife
5b3o3bo$11bobo$5bobo3b2o$6bo2$13bo$7b2o2b2o$2o5b2o3b2o$b2o$o2$10bo3b3o
$9b2o3bo$9bobo3bo!

Edit 2: Maybe a 1G improvement, depending again on how T's are counted:
x = 25, y = 20, rule = tlife
23bo$22bo$22b3o4$5b3o2$5bobo$6bo2$13bo$7b2o2b2o2bo$2o5b2o4bo$b2o$o2$
10b2o$9b2o$11bo!

Edit 3: Oops, sorry; didn't check the synthesis database.
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 » December 27th, 2015, 6:21 pm

Another approach to the bipole:
x = 6, y = 9, rule = tlife
2bo$2bo$5o3$b2o$bobo$bo3bo$5bo!

The hive+2G approach for the domino spark works here, but the glider would then need to be created from a boat or ship.
EDIT: Scratch that, can we make the yellow spark?
x = 41, y = 26, rule = TLifeHistory
6$19.D$20.2D$19.2D2B$3.C16.4B$4.2C15.4B$3.2C17.4B.BA$23.4B2A2B$24.3BA
3BA$9.2C14.B.BA3BA$9.2C2.2C13.4BA$13.2C14.3BA3.E$28.A4B.E$27.4BAB.E$
11.C16.2A3B2.E$11.2C14.D4B$10.C.C13.B2DB$26.D.D!
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Re: tlife

Postby A for awesome » December 28th, 2015, 6:33 pm

A much better bipole final step:
x = 16, y = 13, rule = tlife
4bo$5bo$3b3o3$8b2o3b2o$8bo4bobo$5b2obo4bo$5b2ob2o$9bo$b2o6bobo$obo7b2o
$2bo!

The still life looks synthesizable this time.
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 Sphenocorona » December 28th, 2015, 7:57 pm

Synthesis of bipole with 9G, making it directly from an eater:
x = 25, y = 15, rule = tlife
18bo$18bobo$18b2o2$2bo$obo$b2o2$3bobo16b2o$3b2o17bobo$4bo17bo$10b2o5b
2o$10bo5b2o$8bobo7bo$8b2o!

One of BlinkerSpawn's precursors looks potentially more efficient, so I'll be checking that out. Turns out that one of the simple components is harder to place than I had thought. I'll wait for a better alternative.
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Re: tlife

Postby A for awesome » December 29th, 2015, 10:01 am

10-cell infinite growth:
x = 7, y = 5, rule = tlife
3ob2o$3bo2bo$3bo$3bo$3bo!

A natural glider gun, which seems to be new:
x = 16, y = 16, rule = tlife
obobo2b2obobob2o$2o2bob3ob2o2b2o$2ob6ob6o$2bo2bo2bo2b2o$o3b2o5bo2b2o$
4o3bob5obo$2bobo2b2ob2obobo$3bo5bo2bo$bob4o4b2o$ob4o2bobob2o$3bo3bob2o
b4o$b2o4bob4ob2o$b3ob2o7b2o$3obo2b4o4bo$4ob2ob3o2bo$obob2ob2o4b2o!

Natural tripole:
x = 16, y = 16, rule = tlife
5obob3obo2bo$bobo3b2o3bob2o$2obob2o2bob3obo$3o2b4o2b2ob2o$6o2bo3b4o$o
4bo2bo2b2o$ob2ob5obob3o$o5b3obo2b2o$obob4obo4b2o$5o2bo3bo2bo$b2obo2b2o
2b3obo$o3bo5bob2obo$2o4b2ob2ob3o$5b4o3bo$5bobo$ob2ob2obo!

Bookend on cap:
x = 16, y = 16, rule = tlife
b2o2b8o2bo$2o2bobo2b2ob3o$o2bo3bob4obo$obo3b2ob3ob2o$ob9o3b2o$b2o3bo4b
2o2bo$3ob3o5bobo$o2bobo4bo4bo$2ob2obobo4b3o$ob2o3bob2o2bobo$o2bo2b2o2b
5o$ob4obobo2bob2o$ob2obo4b2o2bo$o2bo2b4ob2o$2b4obob4o$2bo7bobo2bo!

4 boats:
x = 16, y = 16, rule = tlife
5bob3ob3obo$o2bo3bob4ob2o$bo4b2obo2bob2o$2o4bobo2bobo$4ob3obob3o$3bobo
b6ob2o$ob2o3bo6b2o$bo2b3o4bobobo$o2bo2b4obo3bo$b2o5bobobo$4bob2o2b2o3b
o$b3o3b2obob2obo$o4b2o2bobo2b2o$o2bobob3ob2o$2bo4b2ob2obobo$ob3o2b2o2b
o2b2o!

Some precursors to the unnamed p6:
x = 19, y = 9, rule = tlife
8b2o$5bo3bo$7b3o$7b2o$2o$2o14b2o$15bo2bo$14bo2bo$15b2o!
x = 4, y = 8, rule = tlife
bobo$o2bo$3o2$obo2$b2o$b2o!
x = 7, y = 4, rule = tlife
4bobo$2b3o$2obo$o!

Possibly synthesizable predecessor to the T eater:
x = 6, y = 8, rule = tlife
3bo2$3o2$3b2o$2b3o$2bo2bo$3b2o!
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 » December 29th, 2015, 6:56 pm

After all this time, we may finally be able to turn inducting blocks/boats into tables:
x = 9, y = 11, rule = tlife
3bobo$bobobobo$2b2ob2o2$4bo$3bobo$2bobo3bo$2b2o2b2o2$4o$o2bo!

EDIT: Removing the gliders adds a cap instead:
x = 9, y = 7, rule = tlife
4bo$3bobo$2bobo3bo$2b2o2b2o2$4o$o2bo!

EDIT 2: And this allows an arbitrarily long line of diagonal blocks if the thing on the bottom can be made.
x = 13, y = 13, rule = tlife
bo$2bo$3bo$4bo$2o3bo$3o3bo$bobo3bo$2b3o3bo$3bobo3bo$4b3o3bo$5bobo3bo$
6b3o3bo$7b2o!
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Re: tlife

Postby A for awesome » December 30th, 2015, 10:21 am

A different 4 boats seed:
x = 9, y = 9, rule = tlife
4bo$3bobo$4bo$bo$obo$bo3b3o$5bo2bo$5bo2bo$6b2o!

Looks conducive to synthesis.
A mold-producing soup:
x = 16, y = 16, rule = tlife
b4obob2o3b3o$2b3o3b5ob2o$obobo2b2o3bo$3b6o3b2obo$bo2bobobobob2o$2b3o4b
2o4bo$2o3b2o2b3obobo$o3bob8o$o2bobob2o2b2o2bo$bob2ob2o3bo$3obob2o2bo2b
obo$o2b2ob2ob3o2b2o$2bo3bo2bob3obo$2ob2ob4o5bo$obob2obo2b4obo$b2o7b2ob
o!

A triple p160 (unfortunately not interacting):
x = 16, y = 16, rule = tlife
2o5bob3o3bo$o2b3o3bobobobo$bob4o3bob4o$b2ob4o2b3o$o2b2o2bo4b2obo$b2o2b
obobobob3o$b2obo3bob6o$3bo3bob2o2b2o$o6bo3b2o2bo$o2b2o3b7o$bo3b3o2b6o$
3b3obo7bo$bob2o3b3o3bo$2b5obo2bob3o$2ob2obob2obo$2b2obo4b3ob2o!

This time, Jackk's glider gun:
x = 16, y = 16, rule = tlife
bo2b2o7b2o$o4bo2bo5bo$3b5obo4bo$bo3bo4bo2bo$2o2bobob5o2bo$ob2ob5o2b3o$
bob3o2bob4o$ob2ob4o2b3o$bob4o2b2ob2obo$o4bo2bo4b3o$4o2b2o3bo2b2o$3obo
2bo3b2ob2o$bo2bo2bo4b2obo$2bobo2b3o2bo$ob2obo3bobob3o$6ob4o2bo!

A quadpole:
x = 16, y = 16, rule = tlife
2o3b2obobobob2o$3b3ob3ob4o$2bob2ob2o2bo$ob2ob3o3b2ob2o$obo3b3obo2b3o$o
bob2o9bo$bo11bobo$8ob2o2b2o$2b4o5b2o2bo$b2obo6b2obo$bo2b3o2bobo2bo$3o
3b6o2bo$o2b5o5bobo$2o4bobo3bo2bo$4ob2obobobobo$2ob6o2b4o!
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 » December 30th, 2015, 12:24 pm

Quadpole and mold predecessors:
x = 21, y = 11, rule = tlife
2bo$b2o3bo8bo$3bo2bo7bo3b2o$3bob2o6bobo2b3o$14b2o3b2o$4bo$bo2bo8bo3bo$
o2bo2b2o8b2o$b2o3b2o9b3o$17b3o$18bo!
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Re: tlife

Postby A for awesome » January 3rd, 2016, 11:20 am

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

Block on bipole:
x = 16, y = 16, rule = tlife
3b3obobob2o$5o2bob2o2bobo$4ob2ob3o$3bo2b5o$obo2bobo2bobob2o$6ob5ob3o$o
2b3o4b2obo$2b2o3b4ob2obo$5ob5o2b3o$o5bo3bo3b2o$2o2b5obo3bo$2obobob2o3b
4o$o3b3ob4o3bo$2o2b2obo4bo$2obob4obobo2bo$5o3bo2b4o!

I'm sure there's some way to get a tripole synth out of this, but I don't know exactly how:
x = 16, y = 16, rule = tlife
obobo2b4ob3o$obob2o4b3ob2o$4bo3b2o2b4o$ob4obo2b2obobo$3b4o2bob5o$2b2ob
obobobobobo$5bob3obo2bo$4obobo2b2o3bo$bo3bob2o2bo3bo$3ob4obob2obo$ob2o
3bob2o4bo$2bob5ob2o3bo$bobo2bo2bob3obo$b2obo3b3ob3o$4bobobob2ob2o$2bob
o3bob4o!

There's that 23-cell SL again:
x = 16, y = 16, rule = tlife
4bo2bob3o2bo$b3ob3o2bobob2o$o2b2ob2o3b2o2bo$obob3obo2bob2o$b2o5bobo2b
3o$2o3b2obobob3o$bo2b2o3bobobobo$3o4bobobobobo$o2bo3bobo2b3o$b3o3b2o2b
ob3o$bobobobo3b4o$2bob4o2b6o$obobob2ob3obo$2b2o2b3o4bobo$bo3bo2bobobob
2o$2b2ob3o2b2o!
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 3rd, 2016, 1:31 pm

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

Postby A for awesome » January 4th, 2016, 1:53 pm

A predecessor to the T eater still life:
x = 5, y = 13, rule = tlife
bo$obo$obo$bo2$bo$3o4$2b3o$4bo$3b2o!

The beehive can be replaced with any of a number of different patterns. Unfortunately, none of the mango syntheses that I know of are compatible with any of the T syntheses that I know of in this case.
EDIT: 13G synth via a slightly different method:
x = 17, y = 16, rule = tlife
12bobo$12b2o$9bo3bo$10bo$8b3o$14bo$6bo6bo$5bobo5b3o$bo4bo3b2o$obo6b2o$
obo2b3o3bo$bo3b3o7bo$6bo7b2o$9b2o3bobo$9bobo$9bo!

Seed for a weird 17-bitter:
x = 8, y = 9, rule = tlife
6bo$5b3o$4b2obo$bo$obo$bo2$6b2o$6b2o!

Okay, did not see that one coming:
x = 9, y = 13, rule = tlife
7b2o$7b2o$6bobo$bo4b2o$obo2$3o$4bo$5bo$4bobo$2bobobo$3bobo$4bo!

Or that one:
x = 10, y = 15, rule = tlife
2b2o$2b2o$2bo$bo$obo$obo5bo$bo5bobo$6bo2bo$7b2o3$3bo$4bo$bo2bo$2b3o!

A 24-cell SL:
x = 16, y = 16, rule = tlife
2b2o2b2obo2b2obo$2obo6bo2bo$4b3obob4obo$ob7o3b2obo$b2ob4o2bob2o$b4o2bo
2bo3b2o$4o7b4o$ob4o4bo2b2o$2o3b2o4bo2b2o$o3b2o2b3o2b2o$2obob3obobob2o$
3b2obobo3b2o$b4obo3b2o2bo$2o3bo2bob4obo$bob2ob2obo2bobo$bo2b2o4bo2bo!

The most interesting of the three possible [cap on table]s in this rule:
x = 16, y = 16, rule = tlife
obobo3b4ob3o$b2o3bo2b2o3bo$bob2ob3obob2obo$o4bo2bo5bo$3o4bob2obobo$obo
bob2o4b4o$2b2ob5o2b2o$o3b3ob2obobobo$2b4obobo2bobo$bo2b2o3bobobo$b2o2b
o2bo3bo$b6ob3obo2bo$o3b3o3bobob2o$b2ob2obo3bobo$o4b3obobob3o$obo2b2obo
bo2b3o!

I didn't expect this, though:
x = 16, y = 16, rule = tlife
2obo3b4o3bo$obobob2o2bob2o$2ob2o4b2o3b2o$bo3b2o2b7o$o2b6obobob2o$obobo
6bo3bo$bobo2bo7b2o$ob4o4bob3o$2obo3b3o2bo2bo$o2b5obo4bo$ob3obo2bo3bo$
2obobo2b2o2bob2o$7bobo2bo2bo$ob3o2bo5b2o$bob2o4bobo2bo$2bo6b2o2bo!

This soup forms a figure 8 which ironically decays in this rule into an octagon II:
x = 16, y = 16, rule = tlife
o2bobobob2ob2obo$2o3bo3bo2b2o$obo6bo2bob2o$o2bo3b3o3bo$bo2bob2o4b3o$o
2b2o2b2obo2bo$bo3b2obob4o$ob3ob3o3b3o$2b2obob2obobobo$b2ob2o4bo$2o5bob
3o3bo$2ob4o2bob5o$2obo4bob3obo$2ob2ob4o3bobo$2b2ob2o3bo3b2o$o2bob2o4bo
2b2o!

This time, a cap on cap:
x = 16, y = 16, rule = tlife
obob2ob2obo2b2o$5o2b4o$2bobobob2obob2o$2o6bob2o2b2o$o2bobo3b2o3bo$5bob
obo2b4o$o6bob3o2bo$3bo2b2o2bobo$o2b3o4b2ob3o$3bo2bo2b3ob3o$b3ob2o3b5o$
2obo2bob3ob3o$3b6ob2o2bo$3ob2o5b5o$obo4b4o2bo$2obo2bo3bo2b3o!
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 drc » January 4th, 2016, 5:46 pm

@RULE reptlife
@TABLE
n_states:2
neighborhood:Moore
symmetries:rotate4reflect

# B36-kS2-i34q

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
0,0,0,1,1,1,1,1,1,1
0,0,1,0,1,1,1,1,1,1
0,0,1,1,1,0,1,1,1,1
0,1,0,1,0,1,1,1,1,1
0,1,0,1,1,1,0,1,1,1
1,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0
1,1,0,0,0,1,0,0,0,0
1,1,1,1,1,0,0,0,0,0
1,1,1,1,0,1,0,0,0,0
1,1,1,0,1,1,0,0,0,0
1,1,1,0,1,0,1,0,0,0
1,1,1,0,1,0,0,1,0,0
1,1,1,0,1,0,0,0,1,0
1,1,1,0,0,1,1,0,0,0
1,1,1,0,0,1,0,1,0,0
1,1,1,0,0,1,0,0,1,0
1,1,1,0,0,0,1,1,0,0
1,1,0,1,0,1,0,1,0,0
1,0,1,0,1,0,1,0,1,0
1,0,0,0,1,1,1,1,1,0
1,0,0,1,0,1,1,1,1,0
1,0,0,1,1,0,1,1,1,0
1,0,0,1,1,1,0,1,1,0
1,0,0,1,1,1,1,0,1,0
1,0,0,1,1,1,1,1,0,0
1,0,1,0,1,0,1,1,1,0
1,0,1,0,1,1,0,1,1,0
1,0,1,1,0,1,0,1,1,0
1,1,0,1,0,1,0,1,1,0
1,0,0,1,1,1,1,1,1,0
1,0,1,0,1,1,1,1,1,0
1,0,1,1,0,1,1,1,1,0
1,0,1,1,1,0,1,1,1,0
1,1,0,1,0,1,1,1,1,0
1,1,0,1,1,1,0,1,1,0
1,0,1,1,1,1,1,1,1,0
1,1,1,1,1,1,1,1,1,0

@COLORS

0 0 0 0
1 255 255 255


Tlife with replicators:

x = 5, y = 3, rule = reptlife
5o$5o$5o!
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Re: tlife

Postby BlinkerSpawn » January 4th, 2016, 9:26 pm

P176 two-barreled gun:
x = 109, y = 116, rule = reptlife
15$23bo9bo$23b3o5b3o$26bo3bo$25b2o3b2o49$9bo$8b2o$8bobo8$59b2o$60b2o$
59bo2$27b3o$27b3o$27b3o$27b3o$27b3o15$13b2o85b2o$14bo85bo$14bobo81bobo
$15b2o81b2o$47b5o$47b5o$47b5o$15b2o81b2o$14bobo81bobo$14bo85bo$13b2o
85b2o!

This rule seems to be the TLife analog to HighLife, considering in both rules added B6 transitions allow the existence of very small replicators which can be used to create gliders.
I hereby petition this rule to be renamed HighTLife. :P
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Re: tlife

Postby drc » January 4th, 2016, 11:42 pm

BlinkerSpawn wrote:P176 two-barreled gun:
x = 109, y = 116, rule = reptlife
15$23bo9bo$23b3o5b3o$26bo3bo$25b2o3b2o49$9bo$8b2o$8bobo8$59b2o$60b2o$
59bo2$27b3o$27b3o$27b3o$27b3o$27b3o15$13b2o85b2o$14bo85bo$14bobo81bobo
$15b2o81b2o$47b5o$47b5o$47b5o$15b2o81b2o$14bobo81bobo$14bo85bo$13b2o
85b2o!

This rule seems to be the TLife analog to HighLife, considering in both rules added B6 transitions allow the existence of very small replicators which can be used to create gliders.
I hereby petition this rule to be renamed HighTLife. :P


It does differ in two transitions from hightlife, S7c and NB6k. Also, since new cool variants are always being found, maybe we should make a thread for them ?
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Re: tlife

Postby drc » January 5th, 2016, 12:01 am

P352 T gun:

x = 125, y = 193, rule = reptlife
11b2o85b2o21b2o$12bo85bo22bo$12bobo81bobo23b3o$13b2o81b2o26bo$45b5o$
45b5o$45b5o$13b2o81b2o$12bobo81bobo$12bo85bo$11b2o85b2o15$25b3o$25b3o$
25b3o$25b3o$25b3o2$57bo$58b2o$57b2o8$6bobo$6b2o$7bo$3b2o$2bobo$2bo$b2o
45$23b2o3b2o$24bo3bo$21b3o5b3o$21bo9bo2$20bo9bo$20b3o5b3o$23bo3bo$22b
2o3b2o45$2o$bo$bobo$2b2o$6bo$5b2o$5bobo8$56b2o$57b2o$56bo2$24b3o$24b3o
$24b3o$24b3o$24b3o15$10b2o85b2o$11bo85bo$11bobo81bobo$12b2o81b2o$44b5o
$44b5o$44b5o$12b2o81b2o$11bobo81bobo$11bo85bo$10b2o85b2o!


And a T doubler:

x = 169, y = 334, rule = reptlife
10b2o85b2o$11bo85bo$11bobo32bo48bobo$12b2o31bobo47b2o$44b5o$43b2o3b2o$
44b5o$12b2o31bobo47b2o$11bobo32bo48bobo$11bo85bo$10b2o85b2o14$25bo$24b
3o$23b2ob2o$22bobobobo$23b2ob2o$24b3o$25bo2$56bobo$57b2o$57bo7$6bo$4b
2o$4b3o$2b3o$bobo$bo$2o45$22b2o3b2o$23bo3bo$20b3o5b3o$20bo9bo46$55b2o
85b2o21b2o$56bo85bo22bo$56bobo81bobo23b3o$57b2o81b2o26bo$89b5o$89b5o$
89b5o$57b2o81b2o$56bobo81bobo$56bo85bo$55b2o85b2o15$69b3o$69b3o$69b3o$
69b3o$69b3o2$101bo$102b2o$101b2o8$50bobo$50b2o$51bo$47b2o$46bobo$46bo$
45b2o45$67b2o3b2o$68bo3bo$65b3o5b3o$65bo9bo2$64bo9bo$64b3o5b3o$67bo3bo
$66b2o3b2o45$44b2o$45bo$45bobo$46b2o$50bo$49b2o$49bobo8$100b2o$101b2o$
100bo2$68b3o$68b3o$68b3o$68b3o$68b3o15$54b2o85b2o$55bo85bo$55bobo81bob
o$56b2o81b2o$88b5o$88b5o$88b5o$56b2o81b2o$55bobo81bobo$55bo85bo$54b2o
85b2o!
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Re: tlife

Postby BlinkerSpawn » January 5th, 2016, 7:43 am

P176 T gun:
x = 101, y = 112, rule = reptlife
90bo9bo$90b3o5b3o$93bo3bo$92b2o3b2o13$68bo9bo$68b3o5b3o$71bo3bo$70b2o
3b2o18$95bo$94bobo$93bo3bo$93bo3bo$93bo3bo$94bobo$95bo2$95bo$94bobo$
93bo3bo$93bo3bo$93bo3bo$94bobo$95bo2$95bo$94bobo$93bo3bo$93bo3bo$93bo
3bo$94bobo$95bo2$95bo$94bobo$93bo3bo$93bo3bo$93bo3bo$94bobo$95bo$92bo$
92b2o$91bobo12$72b3o$72b3o$72b3o$48bo23b3o17b2o3b2o$48b3o21b3o18bo3bo$
51bo38b3o5b3o$50b2o38bo9bo13$2o85b2o$bo85bo$bobo81bobo$2b2o81b2o$50b5o
$50b5o$50b5o$2b2o81b2o$bobo81bobo$bo85bo$2o85b2o!

P176 dependent T reflector:
x = 133, y = 48, rule = reptlife
17$13bo$12b3o$12b3o100b2o$115bo$113bobo$113b2o$18b5o3b5o3b5o3b5o3b5o3b
5o3b5o3b5o$18b5o3b5o3b5o3b5o3b5o3b5o3b5o3b5o$18b5o3b5o3b5o3b5o3b5o3b5o
3b5o3b5o$113b2o$113bobo$115bo$115b2o!
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Re: tlife

Postby A for awesome » January 6th, 2016, 6:18 pm

A seed for the t eater:
x = 33, y = 13, rule = tlife
14b2o$13bobo$13bobo$13b2o$b2o$o2bo$o2bo26b2o$b2o26bo2bo$30b2o3$b2o$b2o
!
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 6th, 2016, 7:57 pm

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.
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