## Close life variants

For discussion of other cellular automata.

### Close life variants

This thread is for posting patterns from rules that very closely resemble Life, yet differ in subtle ways. Here is one:
@RULE SubtlyNotLife@TABLEn_states:3neighborhood:Mooresymmetries:rotate4reflectvar a={0,1,2}var aa={a}var ab={a}var ac={a}var b={1,2}var ba={b}var bb={b}var bc={b}var bd={b}var be={b}var bf={b}var bg={b}0,b,ba,bb,0,0,0,0,0,10,b,ba,0,bb,0,0,0,0,10,b,ba,0,0,bb,0,0,0,10,b,ba,0,0,0,bb,0,0,10,b,ba,0,0,0,0,bb,0,10,b,ba,0,0,0,0,0,bb,10,b,0,ba,0,bb,0,0,0,10,b,0,ba,0,0,bb,0,0,10,b,0,0,ba,0,bb,0,0,10,0,b,0,1,0,ba,0,0,2b,a,0,0,0,0,0,0,0,0b,0,a,0,0,0,0,0,0,0b,ba,bb,bc,bd,a,aa,ab,ac,0b,ba,bb,bc,a,bd,aa,ab,ac,0b,ba,bb,bc,a,aa,bd,ab,ac,0b,ba,bb,a,bc,bd,aa,ab,ac,0b,ba,bb,a,bc,aa,bd,ab,ac,0b,ba,bb,a,bc,aa,ab,bd,ac,0b,ba,bb,a,bc,aa,ab,ac,bd,0b,ba,bb,a,aa,bc,bd,ab,ac,0b,ba,bb,a,aa,bc,ab,bd,ac,0b,ba,bb,a,aa,bc,ab,ac,bd,0b,ba,bb,a,aa,ab,bc,bd,ac,0b,ba,bb,a,aa,ab,bc,ac,bd,0b,ba,a,bb,aa,bc,ab,bd,ac,0b,a,ba,aa,bb,ab,bc,ac,bd,0@COLORS0 30 30 301 255 0 02 200 0 0

This rule is almost exactly the same as Life, but, for instance, the R pentomino doesn't last as long. The pi is also slightly different, stabilizing at 173 gens. Also, the diehard, in this rule, does not actually die:
x = 8, y = 3, rule = SubtlyNotLife.A$6.A$3A3.2A!

Here is a precursor made of normal cells of a still life that does not work in normal Life:
x = 9, y = 9, rule = SubtlyNotLife6.A$.2A.A$5.A2.A$A.2A.2A$A.A.A2.A$5.A$4.2A.A$7.A$4.2A!
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: 1822
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1

### Re: Close life variants

The rule below is two-state and differs from life in only one transition.
@RULE alife@TABLEn_states:2neighborhood:Mooresymmetries:rotate8reflectvar a={0,1}var b={a}var c={a}var d={a}var e={a}0,1,1,1,0,0,0,0,0,10,1,0,1,1,0,0,0,0,10,0,0,1,1,0,0,1,0,10,0,1,0,0,1,0,0,1,10,1,0,1,0,0,0,1,0,11,0,0,0,0,0,0,0,0,01,1,0,0,0,0,0,0,0,01,1,a,1,b,1,c,1,d,01,1,a,1,b,1,c,d,1,01,1,1,1,a,1,b,c,d,01,a,1,1,1,b,c,1,d,01,1,1,1,1,a,b,c,d,01,a,1,1,b,1,c,d,1,01,1,1,a,b,1,1,c,d,0@COLORS# colors from# http://necsi.org/postdocs/sayama/sdsr/java/loops.java# Color.black,Color.blue,Color.red,Color.green,# Color.yellow,Color.magenta,Color.white,Color.cyan,Color.orange1    0    0  2552  255    0    03    0  255    0

In spite of that, the rule is very different from Life in behavior. For example, the preloaf (in Life) shown below is a p4.
x = 3, y = 3, rule = alifeb2o$2o$o!

The rule has a much greater variety of ships, with three naturally occurring ships. The bookend develops into the c/42 diagonal glide-reflective ship shown below, which produces an extraneous block and then deletes it.
x = 10, y = 5, rule = alife7b3o$6bo2$2o4b3o$bo! The property can be used to eat other ships. An example of this is shown below. x = 50, y = 10, rule = alifebo$2o4$47b3o$bobo42bo$bo2bo$bo2bo35b2o4b3o$4bo36bo! There is also a 2c/7 diagonal ship, shown below. x = 5, y = 5, rule = alife3o$3bo$4bo$o3bo$bo2bo! c0b0p0 Posts: 645 Joined: February 26th, 2014, 4:48 pm ### Re: Close life variants I found another interesting variant of Life. Here is the rule table: @RULE 2diagonal@TABLEn_states:2neighborhood:Mooresymmetries:rotate4reflect0,1,1,1,0,0,0,0,0,10,1,1,0,1,0,0,0,0,10,1,1,0,0,1,0,0,0,10,1,1,0,0,0,1,0,0,10,1,1,0,0,0,0,1,0,10,1,1,0,0,0,0,0,1,10,1,0,1,0,1,0,0,0,10,1,0,1,0,0,1,0,0,10,1,0,0,1,0,1,0,0,10,0,1,0,1,0,1,0,0,10,0,1,0,0,0,1,0,0,11,0,0,0,0,0,0,0,0,01,1,0,0,0,0,0,0,0,01,0,1,0,0,0,0,0,0,01,1,1,0,0,0,0,0,0,11,1,0,1,0,0,0,0,0,11,1,0,0,1,0,0,0,0,11,1,0,0,0,1,0,0,0,11,0,1,0,1,0,0,0,0,11,0,1,0,0,0,1,0,0,11,1,1,1,0,0,0,0,0,11,1,1,0,1,0,0,0,0,11,1,1,0,0,1,0,0,0,11,1,1,0,0,0,1,0,0,11,1,1,0,0,0,0,1,0,11,1,1,0,0,0,0,0,1,11,1,0,1,0,1,0,0,0,11,1,0,1,0,0,1,0,0,11,1,0,0,1,0,1,0,0,11,0,1,0,1,0,1,0,0,11,1,1,1,1,0,0,0,0,01,1,1,1,0,1,0,0,0,01,1,1,1,0,0,1,0,0,01,1,1,0,1,1,0,0,0,01,1,1,0,1,0,1,0,0,01,1,1,0,1,0,0,1,0,01,1,1,0,1,0,0,0,1,01,1,1,0,0,1,1,0,0,01,1,1,0,0,1,0,1,0,01,1,1,0,0,1,0,0,1,01,1,1,0,0,0,1,1,0,01,1,0,1,0,1,0,1,0,01,0,1,0,1,0,1,0,1,01,0,0,0,1,1,1,1,1,01,0,0,1,0,1,1,1,1,01,0,0,1,1,0,1,1,1,01,0,0,1,1,1,0,1,1,01,0,0,1,1,1,1,0,1,01,0,0,1,1,1,1,1,0,01,0,1,0,1,0,1,1,1,01,0,1,0,1,1,0,1,1,01,0,1,1,0,1,0,1,1,01,1,0,1,0,1,0,1,1,01,0,0,1,1,1,1,1,1,01,0,1,0,1,1,1,1,1,01,0,1,1,0,1,1,1,1,01,0,1,1,1,0,1,1,1,01,1,0,1,0,1,1,1,1,01,1,0,1,1,1,0,1,1,01,0,1,1,1,1,1,1,1,01,1,0,1,1,1,1,1,1,01,1,1,1,1,1,1,1,1,0 It is exactly the same as GoL, except for a cell is born also if it has two diagonally opposite neighbors. Here are two oscillators: x = 5, y = 5, rule = 2diagonal3b2o$3b2o$2bo$2o$2o! x = 11, y = 11, rule = 2diagonal4b2o$3bobo2$bo3bo$o$2obo3bob2o$10bo$5bo3bo2$5bobo$5b2o! The last one is extensible, I think in both directions. This rule is technically exploding in character, but seems to be just as engineerable as Life. A boat can eat a glider, as shown: x = 7, y = 6, rule = 2diagonal2bo$obo$b2o$5bo$4bobo$5b2o!

It can also act as a memory device, via the previous and following reactions:
x = 4, y = 7, rule = 2diagonalbo$bobo$b2o2$bo$obo$b2o! Unfortunately, much of Life's technology does not work in this rule, for example the Gosper glider gun and the twin bees shuttle. And finally, a pattern that produces two temporary long long long long canoes (and four temporary aircraft carriers): x = 8, y = 8, rule = 2diagonal5bo$4b3o$5b3o$6bo$bo$3o$b3o$2bo!

I suspect that canoe variants are much more common in this rule, because of the extra transition impacting patterns with a diagonal axis of symmetry.
Edit: And long ships. I have yet to find a common predecessor, however.
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: 1822
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1

### Re: Close life variants

A small period 4 oscillator in 2diagonal:
x = 6, y = 6, rule = 2diagonal3b2o$2bo2bo$5bo$4bo$o$2o! And another, larger one: x = 11, y = 11, rule = 2diagonal9b2o$10bo$6bo2$5b2obo$4bobo$2bob2o2$4bo$o$2o! 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: 1822 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 ### Re: Close life variants A wick based on a previous oscillator: x = 35, y = 35, rule = 2diagonal33b2o$34bo$30bo2$29b2obo$28bobo$26bob2o2$24bo3bo2$23b2obo$22bobo$20bob2o2$18bo3bo2$17b2obo$16bobo$14bob2o2$12bo3bo2$11b2obo$10bobo$8bob2o2$6bo3bo2$5b2obo$4bobo$2bob2o2$4bo$o$2o! 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: 1822 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 ### Re: Close life variants The first puffer in this rule (that is, the first puffer whose debris doesn't explode): x = 41, y = 27, rule = 2diagonal9b3o17b3o$9bo2bo15bo2bo$9bo6b3o3b3o6bo$9bo5bo2bo3bo2bo5bo$10bobo2b2obo3bob2o2bobo5$18b2ob2o$17bobobobo$4bo11b2o5b2o11bo$3b3o11b2o3b2o11b3o$2b2obo29bob2o$2b3o31b3o$3b2o13b2ob2o13b2o$14b2o2b2ob2o2b2o$14b2o9b2o$bo37bo$3o35b3o$ob2o33b2obo$b3o33b3o$b3o12b2o5b2o12b3o$b3o9bobobo5bobobo9b3o$b2o9bo3b2o5b2o3bo9b2o$12b5o7b5o$13b3o9b3o! Edit: Another puffer: x = 52, y = 50, rule = 2diagonal15bo19bo$14b3o17b3o$13b2obo5bo5bo5bob2o$13b3o5b3o3b3o5b3o$14b2o5bob2ob2obo5b2o4$23b2ob2o2$19b4obobob4o$19b4obobob4o$8b3o12bo3bo12b3o$7bo2bo8b2ob3ob3ob2o8bo2bo$10bo8b2o3bobo3b2o8bo$10bo8b3ob2ob2ob3o8bo$7bobo10b3o5b3o10bobo$15b2o5b3ob3o5b2o$14bo2bo4b3ob3o4bo2bo$5b3o8bo17bo8b3o$5bo2bo3bo2bo19bo2bo3bo2bo$5bo6b3o8bo3bo8b3o6bo$5bo3bo12bobobobo12bo3bo$5bo3bo31bo3bo$5bo16b3ob3o16bo$6bobo33bobo8$4bo41bo$3b3o14b2o7b2o14b3o$3bob2o13b3o5b3o13b2obo$4b3o14b3o3b3o14b3o$4b3o7bo21bo7b3o$4b3o6bobo19bobo6b3o$4b2o6b2ob2o17b2ob2o6b2o$15bobo15bobo$16b3o13b3o$19bo11bo$17b2o13b2o$17bo15bo!
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: 1822
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1

### Re: Close life variants

An agar based on a failed replicator:
x = 452, y = 452, rule = 2diagonal226bo$225bobo$224bo3bo$223bo3bo$224bobo$225bo2$219bo13bo$218bobo11bobo$217bo3bo9bo3bo$216bo3bo9bo3bo$217bobo11bobo$218bo13bo2$226bo$225bobo$224bo3bo$223bo3bo$208bo15bobo17bo$207bobo15bo17bobo$206bo3bo31bo3bo$205bo3bo31bo3bo$206bobo33bobo$207bo35bo2$201bo13bo21bo13bo$200bobo11bobo19bobo11bobo$199bo3bo9bo3bo17bo3bo9bo3bo$198bo3bo9bo3bo17bo3bo9bo3bo$199bobo11bobo19bobo11bobo$200bo13bo21bo13bo2$208bo35bo$207bobo33bobo$206bo3bo31bo3bo$205bo3bo31bo3bo$190bo15bobo17bo15bobo17bo$189bobo15bo17bobo15bo17bobo$188bo3bo31bo3bo31bo3bo$187bo3bo31bo3bo31bo3bo$188bobo33bobo33bobo$189bo35bo35bo2$183bo13bo21bo13bo21bo13bo$182bobo11bobo19bobo11bobo19bobo11bobo$181bo3bo9bo3bo17bo3bo9bo3bo17bo3bo9bo3bo$180bo3bo9bo3bo17bo3bo9bo3bo17bo3bo9bo3bo$181bobo11bobo19bobo11bobo19bobo11bobo$182bo13bo21bo13bo21bo13bo2$190bo35bo35bo$189bobo33bobo33bobo$188bo3bo31bo3bo31bo3bo$187bo3bo31bo3bo31bo3bo$172bo15bobo17bo15bobo17bo15bobo17bo$171bobo15bo17bobo15bo17bobo15bo17bobo$170bo3bo31bo3bo31bo3bo31bo3bo$169bo3bo31bo3bo31bo3bo31bo3bo$170bobo33bobo33bobo33bobo$171bo35bo35bo35bo2$165bo13bo21bo13bo21bo13bo21bo13bo$164bobo11bobo19bobo11bobo19bobo11bobo19bobo11bobo$163bo3bo9bo3bo17bo3bo9bo3bo17bo3bo9bo3bo17bo3bo9bo3bo$162bo3bo9bo3bo17bo3bo9bo3bo17bo3bo9bo3bo17bo3bo9bo3bo$163bobo11bobo19bobo11bobo19bobo11bobo19bobo11bobo$164bo13bo21bo13bo21bo13bo21bo13bo2$172bo35bo35bo35bo$171bobo33bobo33bobo33bobo$170bo3bo31bo3bo31bo3bo31bo3bo$169bo3bo31bo3bo31bo3bo31bo3bo$154bo15bobo17bo15bobo17bo15bobo17bo15bobo17bo$153bobo15bo17bobo15bo17bobo15bo17bobo15bo17bobo$152bo3bo31bo3bo31bo3bo31bo3bo31bo3bo$151bo3bo31bo3bo31bo3bo31bo3bo31bo3bo$152bobo33bobo33bobo33bobo33bobo$153bo35bo35bo35bo35bo2$147bo13bo21bo13bo21bo13bo21bo13bo21bo13bo$146bobo11bobo19bobo11bobo19bobo11bobo19bobo11bobo19bobo11bobo$145bo3bo9bo3bo17bo3bo9bo3bo17bo3bo9bo3bo17bo3bo9bo3bo17bo3bo9bo3bo$144bo3bo9bo3bo17bo3bo9bo3bo17bo3bo9bo3bo17bo3bo9bo3bo17bo3bo9bo3bo$145bobo11bobo19bobo11bobo19bobo11bobo19bobo11bobo19bobo11bobo$146bo13bo21bo13bo21bo13bo21bo13bo21bo13bo2$154bo35bo35bo35bo35bo$153bobo33bobo33bobo33bobo33bobo$152bo3bo31bo3bo31bo3bo31bo3bo31bo3bo$151bo3bo31bo3bo31bo3bo31bo3bo31bo3bo$136bo15bobo17bo15bobo17bo15bobo17bo15bobo17bo15bobo17bo$135bobo15bo17bobo15bo17bobo15bo17bobo15bo17bobo15bo17bobo$134bo3bo31bo3bo31bo3bo31bo3bo31bo3bo31bo3bo$133bo3bo31bo3bo31bo3bo31bo3bo31bo3bo31bo3bo$134bobo33bobo33bobo33bobo33bobo33bobo$135bo35bo35bo35bo35bo35bo2$129bo13bo21bo13bo21bo13bo21bo13bo21bo13bo21bo13bo$128bobo11bobo19bobo11bobo19bobo11bobo19bobo11bobo19bobo11bobo19bobo11bobo$127bo3bo9bo3bo17bo3bo9bo3bo17bo3bo9bo3bo17bo3bo9bo3bo17bo3bo9bo3bo17bo3bo9bo3bo$126bo3bo9bo3bo17bo3bo9bo3bo17bo3bo9bo3bo17bo3bo9bo3bo17bo3bo9bo3bo17bo3bo9bo3bo$127bobo11bobo19bobo11bobo19bobo11bobo19bobo11bobo19bobo11bobo19bobo11bobo$128bo13bo21bo13bo21bo13bo21bo13bo21bo13bo21bo13bo2$136bo35bo35bo35bo35bo35bo$135bobo33bobo33bobo33bobo33bobo33bobo$134bo3bo31bo3bo31bo3bo31bo3bo31bo3bo31bo3bo$133bo3bo31bo3bo31bo3bo31bo3bo31bo3bo31bo3bo$118bo15bobo17bo15bobo17bo15bobo17bo15bobo17bo15bobo17bo15bobo17bo$117bobo15bo17bobo15bo17bobo15bo17bobo15bo17bobo15bo17bobo15bo17bobo$116bo3bo31bo3bo31bo3bo31bo3bo31bo3bo31bo3bo31bo3bo$115bo3bo31bo3bo31bo3bo31bo3bo31bo3bo31bo3bo31bo3bo$116bobo33bobo33bobo33bobo33bobo33bobo33bobo$117bo35bo35bo35bo35bo35bo35bo2$111bo13bo21bo13bo21bo13bo21bo13bo21bo13bo21bo13bo21bo13bo$110bobo11bobo19bobo11bobo19bobo11bobo19bobo11bobo19bobo11bobo19bobo11bobo19bobo11bobo$109bo3bo9bo3bo17bo3bo9bo3bo17bo3bo9bo3bo17bo3bo9bo3bo17bo3bo9bo3bo17bo3bo9bo3bo17bo3bo9bo3bo$108bo3bo9bo3bo17bo3bo9bo3bo17bo3bo9bo3bo17bo3bo9bo3bo17bo3bo9bo3bo17bo3bo9bo3bo17bo3bo9bo3bo$109bobo11bobo19bobo11bobo19bobo11bobo19bobo11bobo19bobo11bobo19bobo11bobo19bobo11bobo$110bo13bo21bo13bo21bo13bo21bo13bo21bo13bo21bo13bo21bo13bo2$118bo35bo35bo35bo35bo35bo35bo$117bobo33bobo33bobo33bobo33bobo33bobo33bobo$116bo3bo31bo3bo31bo3bo31bo3bo31bo3bo31bo3bo31bo3bo$115bo3bo31bo3bo31bo3bo31bo3bo31bo3bo31bo3bo31bo3bo$100bo15bobo17bo15bobo17bo15bobo17bo15bobo17bo15bobo17bo15bobo17bo15bobo17bo$99bobo15bo17bobo15bo17bobo15bo17bobo15bo17bobo15bo17bobo15bo17bobo15bo17bobo$98bo3bo31bo3bo31bo3bo31bo3bo31bo3bo31bo3bo31bo3bo31bo3bo$97bo3bo31bo3bo31bo3bo31bo3bo31bo3bo31bo3bo31bo3bo31bo3bo$98bobo33bobo33bobo33bobo33bobo33bobo33bobo33bobo$99bo35bo35bo35bo35bo35bo35bo35bo2$93bo13bo21bo13bo21bo13bo21bo13bo21bo13bo21bo13bo21bo13bo21bo13bo$92bobo11bobo19bobo11bobo19bobo11bobo19bobo11bobo19bobo11bobo19bobo11bobo19bobo11bobo19bobo11bobo$91bo3bo9bo3bo17bo3bo9bo3bo17bo3bo9bo3bo17bo3bo9bo3bo17bo3bo9bo3bo17bo3bo9bo3bo17bo3bo9bo3bo17bo3bo9bo3bo$90bo3bo9bo3bo17bo3bo9bo3bo17bo3bo9bo3bo17bo3bo9bo3bo17bo3bo9bo3bo17bo3bo9bo3bo17bo3bo9bo3bo17bo3bo9bo3bo$91bobo11bobo19bobo11bobo19bobo11bobo19bobo11bobo19bobo11bobo19bobo11bobo19bobo11bobo19bobo11bobo$92bo13bo21bo13bo21bo13bo21bo13bo21bo13bo21bo13bo21bo13bo21bo13bo2$100bo35bo35bo35bo35bo35bo35bo35bo$99bobo33bobo33bobo33bobo33bobo33bobo33bobo33bobo$98bo3bo31bo3bo31bo3bo31bo3bo31bo3bo31bo3bo31bo3bo31bo3bo$97bo3bo31bo3bo31bo3bo31bo3bo31bo3bo31bo3bo31bo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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: 1822 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 ### Re: Close life variants A 8c/16 ship in a close variant of Life: x = 18, y = 17, rule = klife9b3o$3o5bo2bo$o2bo8bo$o6bo3b2o$o3bob2o3bo$o3bo2bobo$o7bo$bobo4bo$7bo$11bo$8bo6bo$9b2o3b3o$14bob2o$15b3o$15b3o$15b3o$15b2o! Here is the rule: @RULE klife@TABLEn_states:2neighborhood:Mooresymmetries:rotate4reflect0,1,1,1,0,0,0,0,0,10,1,1,0,1,0,0,0,0,10,1,1,0,0,1,0,0,0,10,1,1,0,0,0,1,0,0,10,1,1,0,0,0,0,1,0,10,1,1,0,0,0,0,0,1,10,1,0,1,0,1,0,0,0,10,1,0,1,0,0,1,0,0,10,1,0,0,1,0,1,0,0,10,0,1,0,1,0,1,0,0,10,1,1,0,1,0,0,0,1,11,0,0,0,0,0,0,0,0,01,1,0,0,0,0,0,0,0,01,0,1,0,0,0,0,0,0,01,1,1,0,0,0,0,0,0,11,1,0,1,0,0,0,0,0,11,1,0,0,1,0,0,0,0,11,1,0,0,0,1,0,0,0,11,0,1,0,1,0,0,0,0,11,0,1,0,0,0,1,0,0,11,1,1,1,0,0,0,0,0,11,1,1,0,1,0,0,0,0,11,1,1,0,0,1,0,0,0,11,1,1,0,0,0,1,0,0,11,1,1,0,0,0,0,1,0,11,1,1,0,0,0,0,0,1,11,1,0,1,0,1,0,0,0,11,1,0,1,0,0,1,0,0,11,1,0,0,1,0,1,0,0,11,0,1,0,1,0,1,0,0,11,1,1,1,1,0,0,0,0,01,1,1,1,0,1,0,0,0,01,1,1,1,0,0,1,0,0,01,1,1,0,1,1,0,0,0,01,1,1,0,1,0,1,0,0,01,1,1,0,1,0,0,1,0,01,1,1,0,1,0,0,0,1,01,1,1,0,0,1,1,0,0,01,1,1,0,0,1,0,1,0,01,1,1,0,0,1,0,0,1,01,1,1,0,0,0,1,1,0,01,1,0,1,0,1,0,1,0,01,0,1,0,1,0,1,0,1,01,0,0,0,1,1,1,1,1,01,0,0,1,0,1,1,1,1,01,0,0,1,1,0,1,1,1,01,0,0,1,1,1,0,1,1,01,0,0,1,1,1,1,0,1,01,0,0,1,1,1,1,1,0,01,0,1,0,1,0,1,1,1,01,0,1,0,1,1,0,1,1,01,0,1,1,0,1,0,1,1,01,1,0,1,0,1,0,1,1,01,0,0,1,1,1,1,1,1,01,0,1,0,1,1,1,1,1,01,0,1,1,0,1,1,1,1,01,0,1,1,1,0,1,1,1,01,1,0,1,0,1,1,1,1,01,1,0,1,1,1,0,1,1,01,0,1,1,1,1,1,1,1,01,1,0,1,1,1,1,1,1,01,1,1,1,1,1,1,1,1,0 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: 1822 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 ### Re: Close life variants This rule differs from life in two transitions, but for the life of me I can't remember which two. I'll let this example speak for itself: x = 116, y = 54, rule = tlife78bo$77bo24b2o$77b3o22b3o$102b2o$113bobo$96b2o14bo2bo$71b3o21bo2bo14bobo$72bo22bo2bo$96b2o4$79bo$71b3o3b2o$72bo5b2o4$33bo$12bo19bo15bo53bo$11bo20b3o12bo53bobo7bo$11b3o33b3o51b2o7b2o$111bo2$79bo$72b3o4bobo$49b3o21bo5b2o$15b3o31bo$15bo16b2o16bo$16bo15bobo$32bo3$79bo$77b2o$11bo66b2o$10bo61bo$10b3o$71bobo$72bo$72bo$46b2o$30bo14bo2bo$14bo14b3o13b4o$13b2o17bo$13bobo15bo5$b2o$o$b2o4b3o$2b2o4bo! @RULE tlife@TABLEn_states:2neighborhood:Mooresymmetries:rotate4reflect0,1,1,1,0,0,0,0,0,10,1,1,0,1,0,0,0,0,10,1,1,0,0,1,0,0,0,10,1,1,0,0,0,1,0,0,10,1,1,0,0,0,0,1,0,10,1,1,0,0,0,0,0,1,10,1,0,1,0,1,0,0,0,10,1,0,1,0,0,1,0,0,10,1,0,0,1,0,1,0,0,10,0,1,0,1,0,1,0,0,11,0,0,0,0,0,0,0,0,01,1,0,0,0,0,0,0,0,01,0,1,0,0,0,0,0,0,01,1,1,0,0,0,0,0,0,11,1,0,1,0,0,0,0,0,11,1,0,0,1,0,0,0,0,11,1,0,0,0,1,0,0,0,01,0,1,0,1,0,0,0,0,11,0,1,0,0,0,1,0,0,11,1,1,1,0,0,0,0,0,11,1,1,0,1,0,0,0,0,11,1,1,0,0,1,0,0,0,11,1,1,0,0,0,1,0,0,11,1,1,0,0,0,0,1,0,11,1,1,0,0,0,0,0,1,11,1,0,1,0,1,0,0,0,11,1,0,1,0,0,1,0,0,11,1,0,0,1,0,1,0,0,11,0,1,0,1,0,1,0,0,11,1,1,1,1,0,0,0,0,01,1,1,1,0,1,0,0,0,01,1,1,1,0,0,1,0,0,11,1,1,0,1,1,0,0,0,01,1,1,0,1,0,1,0,0,01,1,1,0,1,0,0,1,0,01,1,1,0,1,0,0,0,1,01,1,1,0,0,1,1,0,0,01,1,1,0,0,1,0,1,0,01,1,1,0,0,1,0,0,1,01,1,1,0,0,0,1,1,0,01,1,0,1,0,1,0,1,0,01,0,1,0,1,0,1,0,1,01,0,0,0,1,1,1,1,1,01,0,0,1,0,1,1,1,1,01,0,0,1,1,0,1,1,1,01,0,0,1,1,1,0,1,1,01,0,0,1,1,1,1,0,1,01,0,0,1,1,1,1,1,0,01,0,1,0,1,0,1,1,1,01,0,1,0,1,1,0,1,1,01,0,1,1,0,1,0,1,1,01,1,0,1,0,1,0,1,1,01,0,0,1,1,1,1,1,1,01,0,1,0,1,1,1,1,1,01,0,1,1,0,1,1,1,1,01,0,1,1,1,0,1,1,1,01,1,0,1,0,1,1,1,1,01,1,0,1,1,1,0,1,1,01,0,1,1,1,1,1,1,1,01,1,0,1,1,1,1,1,1,01,1,1,1,1,1,1,1,1,0 Life/Syntheses/two-glider-collisions.rle is definitely worth checking out in all of these Life variants. This particular one has, from left to right, a c/5 orthogonal spaceship (the T-tetromino), which because of its simplicity has several two-glider syntheses; a c/4 diagonal glide-reflective ship which isn't the 'standard' glider; a sparky p160 (40*4) rotating oscillator with a two-glider-synthesis; a p4 oscillator (the cap) with a 2-glider synthesis; and various interesting T-tetromino ship/standard glider collisions. edit: starting to look for interesting stuff with the alternative c/4d glider. Here's a potential sawtooth base if backrakes are ever constructed in this rule: x = 72, y = 68, rule = tlife69b2o$68bo$69b2o$70b2o4$62b2o$61bo$62b2o$63b2o4$55b2o$54bo$55b2o$56b2o4$48b2o$47bo$48b2o$49b2o4$41b2o$40bo$41b2o$42b2o4$34b2o$33bo$34b2o$35b2o4$27b2o$26bo$27b2o$28b2o4$20b2o$19bo$20b2o$21b2o4$13b2o$12bo$13b2o$14b2o6$2o$obo$bo! its shape is simple enough to be eaten by a block: x = 4, y = 9, rule = tlifeo$2obo$bobo$2bo4$2o$2o!

Eaters 1 and 2 function as normal. The loaf-flipping reaction works, but the rest of the Eater 3's stator needs some reimagining... the Eater 4 self-destructs, and eater 5 (twit) works as a still-life, but both of its glider-eating reactions cause it to self-destruct. The boat-bit reaction almost works, but the pre-boat instead evolves into a pond, destroying whatever still-life triggered the reaction.

None of the 'standard' life methuselahs work in this rule; the R-pentomino is a mango predecessor, the pi is a beehive predecessor, the B works for a bit but never gets to the Herschel stage, and the Herschel dies out in 17 generations.

EDIT: Okay, did not expect that.
x = 6, y = 7, rule = tlife2o$2o$3b2o$3b3o$3b2o$2o$2o!
gamer54657 wrote:God save us all.
God save humanity.

hgkhjfgh

nutshelltlifeDiscord 'Conwaylife Lounge'
M. I. Wright

Posts: 371
Joined: June 13th, 2015, 12:04 pm

### Re: Close life variants

The two transitions are:
110
110
001 is survival, and

010
010
010 is death.

EDIT: Interesting way to place blocks anywhere in eleven gliders:
x = 165, y = 71, rule = tlife162bo$162bobo$162b2o2$2bo$obo$b2o34$29bobo$30b2o$30bo2$134bo$133bo$133b3o$46bo67bo$26bo20bo65bo$27bo17b3o65b3o$25b3o2$106bo$51bo54bobo$52bo53b2o$50b3o9$92bo$92bobo$92b2o2$37bo$38bo$36b3o! 5G synth of the other c/4 diagonal: x = 44, y = 40, rule = tlife24bo$24bobo$24b2o5$2bo$3bo$b3o3$b2o$obo$2bo11$23b3o$23bo$24bo10$41b3o$41bo$42bo! And syntheses of bun-on-bun and honeycomb discovered while searching for the above one-glider cleanup: x = 144, y = 62, rule = tlife26bo$27bo$25b3o5$70bo21bo17bo$71bo18bobo17bobo$69b3o19b2o17b2o3$78bo$77bobo$77bo2bo$78b2o19b2ob2o$98bobobobo$98bobobobo$41bo57bo3bo34bo3bo$40bobo94bobobobo$39b2o96bobobobo$40bo97b2ob2o$99bo3bo$98bobobobo$98bobobobo28bo$99b2ob2o29b2o$132bobo$31bo$30b3o$33bo$32bo29$3o$2bo$bo!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Posts: 1877
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### Re: Close life variants

I started this post before your edits; you've covered some of the things I've written, but I'll leave it as it's still relevant.
First, though, the alternative c/4 can be made in four gliders from two directions:
#C the last two gliders can come in at any time after the pre-beehive forms,#C and there are multiple placements for the rightmost glider (the synthesis works if it's#C not there, but leaves some junk behind)x = 16, y = 18, rule = tlife3bo$3bobo$3b2o8bo$13bobo$13b2o2$2bo$bo$b3o7$bo$2o$obo!

And the arbitrarily-distant-block thing is really neat - was the placement of the two blocks for the c/2 synthesis just a lucky find? It takes only nine gliders, by the way.
x = 111, y = 31, rule = tlife6bobo$7b2o$7bo$109bo$108bo$108b3o2$bo21bo67bo$2bo21bo65bo$3o19b3o65b3o3$83bo$28bo54bobo$29bo53b2o$27b3o9$69bo$69bobo$69b2o2$14bo$15bo$13b3o!
What defines 'glider', though? It's entirely possible that there may be a gun for the 'alternative' glider (or, even more likely, for the T-tetromino) and not the 'regular' one.

The original post:
Thanks- I should've figured that out on my own, actually (blinker doesn't work and the pre-boat evolves into a pre-pond)

The fleet is the only one of Life's familiar fours that works here, but this honeyfarm predecessor becomes a different group of four (technically two) still-lives:
x = 7, y = 4, rule = tlife3bo$b2ob2o2$o5bo!

The pattern is actually a failed 2D replicator - at generation 5, two copies of the pattern (both rotated 90 degrees) are visible, but they share the same sparks. At generation 10 four partial copies can be seen, and it evolves into its final form (two pairs of inducting buns) at generation 15.

As can be seen in the queen bee ship (although the word 'queen bee' is meaningless since it doesn't lay beehives...) the idea behind the xWSS and B-heptomino's forward growth still works - and the B-heptomino still travels a reasonable distance, in addition to plenty of modified Bs with varying reach - which leads me to believe that B conduits could be constructed in this rule, although Life's conduits obviously wouldn't work.

Lots of uncommon Life still-lifes are fairly common here: first off, since the R pentomino is a mango predecessor, the mango appears in almost every soup. There's also the 'super beehive', which the common triangle/phi spark evolves into (I've heard it called a "honeycomb", which makes no sense because it's bigger than a beehive, whereas in real life a honeycomb is part of and therefore smaller than a beehive... I'd call it a 'wasp nest' or something to do with those huge Cicada killers), and this extension of it:
x = 6, y = 6, rule = tlife2b2o$bo2bo$ob2obo$ob2obo$bo2bo$2b2o! lastly, demotion from 'alt' glider to 'regular' glider: x = 5, y = 11, rule = tlifeo$2o$o5$2bo$bobo$bob2o$4bo! It doesn't even miss a beat - the shape keeps on moving throughout the conversion! I think one of the c/4d gliders should be named the 'ant' (in a Numberphile video, Conway said that he'd wishes he'd given that name to his glider); should the T be named or just called the 'T' or 'T glider'? EDIT: I could've sworn that I'd seen some periodic TL factories in Life (as in, ones that create a T-tetromino and, if it's cleared out of the way before the next cycle, create another one in the same spot) - if I'm not misremembering, there might be a chance that a T gun could be made. Last edited by M. I. Wright on September 10th, 2015, 9:11 pm, edited 1 time in total. gamer54657 wrote:God save us all. God save humanity. hgkhjfgh nutshelltlifeDiscord 'Conwaylife Lounge' M. I. Wright Posts: 371 Joined: June 13th, 2015, 12:04 pm ### Re: Close life variants Better honeycomb synth: x = 17, y = 30, rule = tlife10bobo$10b2o$bo9bo$o$3o5$2b3o$2bo$3bo16$14b2o$14bobo$14bo! And loaf siamese loaf from bun-on-bun: x = 51, y = 23, rule = tlife48bobo$48b2o$49bo17$obo4bo3bo$b2o3bobobobo$bo4bobobobo$7b2ob2o! LifeWiki: Like Wikipedia but with more spaceships. [citation needed] BlinkerSpawn Posts: 1877 Joined: November 8th, 2014, 8:48 pm Location: Getting a snacker from R-Bee's ### Re: Close life variants That honeycomb synthesis is clever - I'd noticed the relationship between it and the oscillator, but I didn't think it could lead to anything. Another demotion, this time with the p160 oscillator: x = 15, y = 10, rule = tlife2bo$b3o$o$bo3$13bo$12bobo$11b2obo$11bo!

I wanted to see what could be done with the alt glider, so a DEC3 (easy/trivial; it can shift a block 3 spaces orthogonally), a clunky INC1 and a possible lead for a FIRE salvo:
x = 99, y = 40, rule = tlife2o16b2o44b2o$2o16b2o44b2o4$31b2o44b2o$30b2o44b2o$29bo45bo$30b2o44b2o2$10b2o14b2o44b2o$9b2o14b2o44b2o$8bo15bo10bo34bo$9b2o14b2o6b2obo34b2o$33b2o$16bo16b2o$15bobo$14b2obo$14bo2$88b2o$87b2o$86bo$87b2o4$43b3o$43b3o$42bo$43bo3$56b2o$55b2o40b2o$54bo41b2o$55b2o5b2o31bo$61b2o33b2o$60bo$61b2o! And you only need one glider to destroy a bun-on-bun. 3G synth of alife's bookend ship: x = 41, y = 44, rule = alife39bo$38bo$38b3o29$2bo$bo$b3o8$2o$obo$o! gamer54657 wrote:God save us all. God save humanity. hgkhjfgh nutshelltlifeDiscord 'Conwaylife Lounge' M. I. Wright Posts: 371 Joined: June 13th, 2015, 12:04 pm ### Re: Close life variants Another alt-glider eater: x = 10, y = 14, rule = tlife4bo$bob2o3b2o$bobo3bobo$2bo5bo3$b2o$obo$2o2$3b2o$3bo$4b3o$6bo! There's a BTS-based almost-eater, too: x = 13, y = 13, rule = tlife9bo$8bobo$8bobo$6b2obo$3bo3bo$ob2o3bo$obo2bob2o$bo3b2o2bo$8bobobo$5b3obob2o$6bo2bo$4bo3b2o$4b2o! The BTS stator has to be heavily modified to work in this rule; it also loses most of its other functionality. Here's an actual eating reaction involving it: x = 11, y = 13, rule = tlife7bo$6bobo$o5bobo$o3b2obo$bo3bo$2o3bo$o2bob2o$3b2o2bo$6bobobo$3b3obob2o$4bo2bo$2bo3b2o$2b2o! Nothing that a simple boat can't do, anyway. I think the BTS is pretty much useless in this rule. Edit: A normal glider reflects a c/5: x = 6, y = 8, rule = tlifebo$obo2$3o2$3b3o$3bo$4bo!

One-time 45-degree reflector:
x = 6, y = 8, rule = tlife4bo$3bobo$3b2o2$2bo$bobo$2obo$o!
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: 1822
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1

### Re: Close life variants

P8 wick in tlife:

x = 3, y = 37, rule = tlifebo$3o4$3o$bo4$bo$3o4$3o$bo4$bo$3o4$3o$bo4$bo$3o4$3o$bo! 2-glider synth of mango: x = 3, y = 7, rule = tlifebo$o$3o2$bo$2o$obo!

Can someone make a rule where cells die on 2 opposing neighbors, and cells survive in the following configuration?

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

Every time I do it, it ends up not working.... There's probably something really simple that I'm missing..

@RULE hlife@TABLEn_states:2neighborhood:Mooresymmetries:rotate8reflect#Death on 0 Neighbors1,0,0,0,0,0,0,0,0,0#Death on 1 Neighbor1,1,0,0,0,0,0,0,0,01,0,1,0,0,0,0,0,0,0#Death on 2 Neighbors0,0,0,0,1,1,0,0,0,0#Death on 4 neighbors1,1,1,1,0,0,0,1,0,01,1,0,1,0,0,1,0,1,01,0,1,0,1,1,0,1,0,01,1,1,1,0,0,1,0,0,01,1,1,0,0,0,0,1,1,01,1,1,0,0,1,0,0,1,01,1,1,0,0,1,0,1,0,01,1,1,1,0,1,0,0,0,01,1,1,0,1,1,0,0,0,01,1,1,0,0,1,1,0,0,01,0,1,1,0,1,1,0,0,0#Death on 5 neighbors1,1,1,1,1,0,0,1,0,01,0,1,1,1,1,0,0,0,01,1,1,1,1,0,1,0,0,01,0,1,1,1,0,1,0,1,01,1,1,0,1,1,0,1,0,01,1,1,1,1,0,0,0,1,01,0,1,0,1,1,1,0,1,01,1,1,0,1,0,1,1,0,01,0,1,1,0,0,1,1,1,0#Death on 6 Neighbors1,0,1,1,1,1,1,1,0,01,1,1,1,1,1,0,1,0,01,1,1,1,1,0,1,0,1,01,1,1,0,1,1,1,0,1,01,1,1,1,1,1,1,0,0,01,1,1,1,0,0,1,1,1,0#Death on 7 Neighbors1,1,1,1,1,1,1,0,1,01,1,1,1,1,1,1,1,0,0#Death on 8 Neighbors1,1,1,1,1,1,1,1,1,0#Birth on 3 Neighbors0,1,1,1,0,0,0,0,0,10,0,1,0,1,0,0,0,1,10,0,1,0,1,1,0,0,0,10,1,0,0,1,0,0,1,0,10,1,0,1,0,0,0,0,1,10,1,0,1,0,0,0,1,0,10,1,1,0,1,0,0,0,0,10,0,0,0,1,0,1,0,1,10,1,0,0,1,1,0,0,0,10,1,0,0,1,0,0,0,1,1#Birth on 8 Neighbors1,1,1,1,1,1,1,1,1,1@COLORS0  48  48  481 255 255   0

gmc_nxtman

Posts: 1147
Joined: May 26th, 2015, 7:20 pm

### Re: Close life variants

This works, right? (the extra transitions were just awkwardly tacked onto c0b0p0's alife rule, so it's not optimal)

@RULE hlife2@TABLEn_states:2neighborhood:Mooresymmetries:rotate8reflectvar a={0,1}var b={a}var c={a}var d={a}var e={a}0,1,1,1,0,0,0,0,0,10,1,0,1,1,0,0,0,0,10,0,0,1,1,0,0,1,0,10,0,1,0,0,1,0,0,1,10,1,0,1,0,0,0,1,0,11,0,0,0,0,0,0,0,0,01,1,0,0,0,0,0,0,0,01,1,0,0,0,1,0,0,0,01,1,0,1,1,1,0,0,0,11,0,1,1,0,1,1,0,0,01,1,a,1,b,1,c,1,d,01,1,a,1,b,1,c,d,1,01,1,1,1,a,1,b,c,d,01,a,1,1,1,b,c,1,d,01,1,1,1,1,a,b,c,d,01,a,1,1,b,1,c,d,1,01,1,1,a,b,1,1,c,d,0

It loses the cool LoM almost-replicator in your rule, unfortunately, AND it's explosive - but two-glider-syntheses.rle is still pretty interesting. For starters, it has two kickback-like reactions, one of which is a heisenburp:
x = 20, y = 12, rule = hlife218bo$bo15bo$o16b3o$3o5$15bo$4b3o7b2o$4bo9bobo$5bo! It also has the c/5 t-tetromino glider, and the queen bee's blocks are pretty common to see (two blocks spaced 3 cells apart orthogonally); the R-pentomino becomes a pi which in turn evolves into said blocks, meaning that the pair has multiple 2-glider-syntheses. Unlike in tlife, though, hitting it with a T makes a p10 flipper instead of a spaceship: x = 7, y = 8, rule = hlife22b3o$3bo5$2o3b2o$2o3b2o!

it also has this interesting infinitely-extensible glider arrangement:
x = 27, y = 39, rule = hlife2o$b2o$2o4$4bo$5b2o$4b2o$bobo$2b2o$2bo3$12bo$13b2o$12b2o$9bobo$9b3o$7b2obo$8b2o$7b2o$4bobo$5b2o17bo$5bo19b2o$24b2o$21bobo$21b3o$19b2obo$20b2o$19b2o$16bobo$16b3o$14b2obo$15b2o$14b2o$11bobo$12b2o$12bo! gamer54657 wrote:God save us all. God save humanity. hgkhjfgh nutshelltlifeDiscord 'Conwaylife Lounge' M. I. Wright Posts: 371 Joined: June 13th, 2015, 12:04 pm ### Re: Close life variants It's nice, although it doesn't work the way I supposed it to. x = 3, y = 2, rule = B3/S233o$obo!

The center cell should survive there.

Anyways,

2-glider synthesis of a ship:

x = 8, y = 14, rule = hlife26bo$5bo$5b3o9$2o$b2o$o! I think that the following rule has some interest: (B2o3/S2!o3) @RULE olife@TABLEn_states:2neighborhood:Mooresymmetries:rotate8var s={0,1}var t={0,1}var u={0,1}var v={0,1}var w={0,1}var x={0,1}var y={0,1}var z={0,1}1,1,1,1,0,0,0,0,0,11,1,1,0,1,0,0,0,0,11,1,1,0,0,1,0,0,0,11,1,1,0,0,0,1,0,0,11,1,1,0,0,0,0,1,0,11,1,0,1,0,1,0,0,0,11,1,0,1,0,0,1,0,0,11,1,1,0,0,0,0,0,0,11,1,0,1,0,0,0,0,0,11,1,0,0,1,0,0,0,0,10,1,0,0,0,1,0,0,0,10,1,1,1,0,0,0,0,0,10,1,1,0,1,0,0,0,0,10,1,1,0,0,1,0,0,0,10,1,1,0,0,0,1,0,0,10,1,1,0,0,0,0,1,0,10,1,0,1,0,1,0,0,0,10,1,0,1,0,0,1,0,0,11,s,t,u,v,w,x,y,z,0@COLORS0 0 0 0 black1 255 255 255 white x = 41, y = 15, rule = olife12bo15bo$11bo15bo11bo$11b3o13b3o8bo$38b3o5$3o$2bo$bo$17b2o$16bobo13b2o$18bo14b2o$32bo! I'm sure this rule could be explored even more. By the way, why isn't b5 happening in this rule? @RULE FalseB5@TABLEn_states:2neighborhood:Mooresymmetries:rotate8reflect0,1,1,1,0,0,0,0,0,10,1,0,1,0,0,0,1,0,10,1,0,1,0,0,1,0,0,10,0,0,1,0,1,0,1,0,10,1,1,0,0,0,0,1,0,10,1,1,0,0,0,1,0,0,10,1,1,1,0,0,0,0,0,10,0,1,1,0,0,1,0,0,10,0,1,0,1,1,1,0,1,11,0,0,0,0,0,0,0,0,01,1,0,0,0,0,0,0,0,01,0,1,0,0,0,0,0,0,01,1,1,1,0,1,0,0,0,01,1,1,0,1,1,0,0,0,01,1,1,1,0,0,0,1,0,01,0,1,1,1,0,1,0,0,01,0,1,0,1,1,1,0,0,01,0,1,0,1,0,1,0,1,01,0,0,1,1,0,1,1,0,01,0,0,0,1,1,1,0,1,01,0,0,1,1,1,1,0,0,01,0,1,0,1,1,0,1,0,01,1,0,1,0,0,1,0,1,01,1,0,1,1,0,1,0,0,01,1,1,0,1,1,1,0,0,01,1,1,0,1,0,1,0,1,01,1,1,1,1,0,1,0,0,01,0,1,1,1,0,1,0,1,01,0,1,0,1,1,1,1,0,01,1,1,0,1,1,0,0,1,01,0,1,1,1,0,0,1,1,01,1,1,1,1,1,0,0,0,01,1,0,1,1,1,0,0,1,01,1,0,1,1,0,1,0,1,01,0,1,1,1,1,1,1,0,01,1,1,1,0,0,1,1,1,01,1,1,1,1,1,1,0,0,01,1,1,0,1,1,1,0,1,01,1,1,1,1,0,1,0,1,01,1,1,1,1,1,0,1,0,01,1,1,1,1,1,1,1,0,01,1,1,1,1,1,1,0,1,0@COLORS0 48 48 481 0 255 0 EDIT: A small pattern that emits a LWSS in klife: x = 8, y = 6, rule = klife5bo$5bobo$bo3bo$obo$3o$2o!

By the way, I just want a rule where the hat is a c/3 spaceship. (B5 in certain positions would be sufficient)
Last edited by gmc_nxtman on September 11th, 2015, 11:40 pm, edited 1 time in total.

gmc_nxtman

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### Re: Close life variants

Hm, olife seems a bit bland to me... here are a few things, though:
x = 29, y = 10, rule = olife11b2o$11b2o$2b2o23b2o$2b2o11bo10bobo$2o12b3o9b2o$2o3$24bo$23b3o! as for b5: it is happening - you just didn't account for every possible arrangement of 5 neighbors. x = 18, y = 11, rule = FalseB52o3bobo$obo2bo$bo3bobo6$2o3b3o2b2o3b2o$o9bo4bobo$b2o3b2o2bobo2bo!

--

here are some syntheses in tlife. The first one wouldn't work from infinity, but it shouldn't be hard to put the oscillator predecessor there some other way:
x = 205, y = 49, rule = tlife168bo$123bo44bobo$122bo45b2o$122b3o9$38bo3b2o$38b2ob2o$37bobo3bo11bobo$56b2o$46bo9bo80bo$46bo91bo22bo$45b3o8b2o78b3o20b2o$55bobo102b2o$57bo$48bo$48b3o106bo$48bo106b2o$85bo70b2o$86bo22bo37bobo$84b3o20b2o39b2o$108b2o38bo2$34b2o$33bobo69bo$35bo67b2o$104b2o$95bobo$96b2o$96bo5$o3bo3bo3bo3bo2bobobo7bo4bobobo5bo3bo3bo3bo3bo2bobobo23bobo3bo45bobo4bo3bo2bobobo2bobobo2bobobo2bobo4bobobo2bo5bo3bo$184bo$o3bo3bo3bo3bo2bo10bobo5bo7bo3bo3bo3bo3bo2bo26bo6bo45bo3bo2bo3bo4bo6bo4bo6bo6bo6bo5bo3bo$184bo$obobo3bo3bo3bo2bobobo5bo3bo4bo7bobobo3bo3bo3bo2bobobo23bobo3bo45bobo4bo3bo4bo6bo4bobobo2bobo4bobobo2bo7bo2$o3bo3bo4bobo3bo9bobobo4bo7bo3bo3bo4bobo3bo30bo2bo45bo3bo2bo3bo4bo6bo4bo6bo2bo3bo6bo7bo2$o3bo3bo5bo4bobobo5bo3bo4bo7bo3bo3bo5bo4bobobo23bobo3bobobo41bobo5bobo5bo6bo4bobobo2bo3bo2bo6bobobo3bo! The third one is interesting because, first off, the teardrop pattern dies out in tlife. The butterfly, however, evolves into a later generation of the teardrop and ends up creating the teardrop's beehives; this synthesis in turn evolves into a later generation of the butterfly, eventually creating the butterfly's beehives! And some interesting reactions - x = 51, y = 24, rule = tlife42b3o3b3o$43bo5bo9$2o3b2o2$o5bo$b2ob2o$2b3o$19b3o3b3o14b3o3b3o$20bo5bo16bo5bo5$bo3bo14b2o3b2o16b2o3b2o$obobobo12bo2bobo2bo15b2o3b2o$bo3bo14b2o3b2o! From left to right: c/2 eater (any equivalent SL works, of course), two-T salvo pushing two beehives one cell, and two slow two-T salvos pulling two blocks by two cells, creating long hook-on-long hook in the process. Lastly, a two-stage 'double glider' eater in hlife2: x = 17, y = 19, rule = hlife23bo$4b2o$3b2o$obo$b2o$bo6$14bo$15b2o$14b2o$11bobo$12b2o$12bo$15b2o$15b2o!

EDIT: can you draw the three phases of the hat spaceship? I'm having trouble visualizing it.
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nutshelltlifeDiscord 'Conwaylife Lounge'
M. I. Wright

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### Re: Close life variants

Oh, I see what you meant by '1,1,0,1,1,1,0,0,0,1' - the problem with it is that the numbers go like this:
0,1,2,3,4,5,6,7,8,98,1,27,0,36,5,4

and not
0,1,2,3,4,5,6,7,8,91,2,3,8,0,47,6,5

so 1,1,0,1,1,1,0,0,0,1 means that a cell survives on
1,0,10,1,10,0,1

The correct transition would be 1,0,1,1,0,0,0,1,1,1. Here's the correct ruletable (right?):
@RULE hlife3@TABLEn_states:2neighborhood:Mooresymmetries:rotate8reflectvar a={0,1}var b={a}var c={a}var d={a}var e={a}0,1,1,1,0,0,0,0,0,10,1,0,1,1,0,0,0,0,10,0,0,1,1,0,0,1,0,10,0,1,0,0,1,0,0,1,10,1,0,1,0,0,0,1,0,11,0,0,0,0,0,0,0,0,01,1,0,0,0,0,0,0,0,01,1,0,0,0,1,0,0,0,01,0,1,1,0,0,0,1,1,11,0,1,1,0,1,1,0,0,01,1,a,1,b,1,c,1,d,01,1,a,1,b,1,c,d,1,01,1,1,1,a,1,b,c,d,01,a,1,1,1,b,c,1,d,01,1,1,1,1,a,b,c,d,01,a,1,1,b,1,c,d,1,01,1,1,a,b,1,1,c,d,0

It's not explosive, still has the c/5o glider, and check out what the R-pentomino does:
x = 3, y = 3, rule = hlife3bo$2o$b2o!
Last edited by M. I. Wright on September 11th, 2015, 11:59 pm, edited 1 time in total.
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M. I. Wright

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### Re: Close life variants

Here's a p10 oscillator that may have been posted before:

x = 7, y = 4, rule = olife2o3b2o$2b3o$2bobo$3bo! Here's the hat spaceship: x = 4, y = 5, rule = hlife33bo$2obo$o$2obo$3bo! So I guess the R-pentomino is a c/14 diagonal glider? x = 3, y = 3, rule = hlife32bo$3o$bo! gmc_nxtman Posts: 1147 Joined: May 26th, 2015, 7:20 pm ### Re: Close life variants That was the flipper I mentioned earlier. Is hlife3 correct? It also seems a bit bland, although the R glider is all sorts of cool. x = 21, y = 11, rule = hlife313b2o$13bobo$2bo11bo4b2o$2b2o14bobo$2bo16bo5$2o$2o! edit: ohh, I see what you meant by the hat spaceship - but didn't you want a c/3 ship? gamer54657 wrote:God save us all. God save humanity. hgkhjfgh nutshelltlifeDiscord 'Conwaylife Lounge' M. I. Wright Posts: 371 Joined: June 13th, 2015, 12:04 pm ### Re: Close life variants The "capped p4" works, and a small p4 flipper: x = 12, y = 5, rule = hlife32b3o3bo2bo$3b2o3bo2bo$2o2bo3bo2bo$2bo6b2o$2bo! An alternate p4: x = 5, y = 5, rule = hlife32bo$2bo$2b3o$2o$2o! EDIT: There's probably a grammar for these small p4's: x = 5, y = 5, rule = hlife32b3o$2b3o$2ob2o$3o$3o! Small wasp nest predecessor: x = 4, y = 6, rule = hlife3o$2bo$2bo$2b2o$2bo$bo!

2G synth of the R-ship:

x = 5, y = 7, rule = hlife32bo$2bobo$2b2o2$bo$b2o$obo! And yes, I did want a c/3 one, although hlife3 is still pretty cool Last edited by gmc_nxtman on October 28th, 2015, 9:05 pm, edited 5 times in total. gmc_nxtman Posts: 1147 Joined: May 26th, 2015, 7:20 pm ### Re: Close life variants M. I. Wright wrote:here are some syntheses in tlife. The first one wouldn't work from infinity, but it shouldn't be hard to put the oscillator predecessor there some other way: RLE Save yourself at least five gliders by not dealing with oscillators: x = 13, y = 13, rule = tlife6bo$4bobo4bo$5b2o3bo$10b3o$bo$2bo$3o4$2b2o$bobo$3bo!
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### Re: Close life variants

M. I. Wright wrote:It also seems a bit bland,

I retract that, this rule is neat. How would the c/3 ship have worked?

(that synthesis should've been obvious, BlinkerSpawn; thanks )

here's an interesting rule (I feel like we should give them more creative names...)
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God save humanity.

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nutshelltlifeDiscord 'Conwaylife Lounge'
M. I. Wright

Posts: 371
Joined: June 13th, 2015, 12:04 pm

### Re: Close life variants

Well...
x = 5, y = 17, rule = tlife2bo$2b2o$obo$bo10$3bo$2bobo$b2o\$2bo!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]