LambdaLife (B3-k/S2-i3-k4cen)

[Rhombic]

After looking into this rule, I think that it's rather interesting.
So far...

Glider and T-ship are the two main spaceships.

3G synthesis of Octagon 2, which is much more common than in CGoL:

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x = 11, y = 8, rule = B3-k/S2-i3-k4cen
2bo5bo$3bo4bobo$b3o4b2o3$bo$b2o$obo!

Weird still lifes are sometimes very easy to synthesise:

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x = 26, y = 13, rule = B3-k/S2-i3-k4cen
9bobo$9b2o$10bo2$o$b2o2bo19bo$2o3bobo15b2o$5b2o11b2o4b2o$18b2o3$21b2o$
21b2o!

Heisenburps are very common/easy to find:

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x = 7, y = 7, rule = B3-k/S2-i3-k4cen
bo$2bo$3o2$5b2o$4b3o$5b2o!

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x = 34, y = 9, rule = B3-k/S2-i3-k4cen
3o$3o$bo3$5b2o25b2o$4b2o25b2o$5b2o25b2o$6bo26bo!

[BlinkerSpawn]

2G Diamond:

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x = 5, y = 16, rule = B3-k/S2-i3-k4cen
4bo$2bobo$3b2o11$3o$2bo$bo!

[Rhombic]

Is it possible to build a p72 oscillator using these two ideas?

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x = 51, y = 19, rule = B3-k/S2-i3-k4cen
36bo$35bobo$36bo3$3bo$4bo$2b3o2bobo$7b2o$8bo35b3o$46bo$44b3o4$3o$2bo
46bo$bo46bobo$49bo!

[BlinkerSpawn]

Is it possible to build a p72 oscillator using these two ideas?

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x = 51, y = 19, rule = B3-k/S2-i3-k4cen
36bo$35bobo$36bo3$3bo$4bo$2b3o2bobo$7b2o$8bo35b3o$46bo$44b3o4$3o$2bo
46bo$bo46bobo$49bo!

Before we try making glider-supported oscillators, we first need glider guns.
Before we try making glider guns, we first need high-period oscillators with usable sparks.
Those are things this rule doesn't seem to support.
However, if somebody finds one, then we could possibly build complex constructions like the pi hassler you want.

[Rhombic]

Is it possible to build a p72 oscillator using these two ideas?

Code: Select all

x = 51, y = 19, rule = B3-k/S2-i3-k4cen
36bo$35bobo$36bo3$3bo$4bo$2b3o2bobo$7b2o$8bo35b3o$46bo$44b3o4$3o$2bo
46bo$bo46bobo$49bo!

Before we try making glider-supported oscillators, we first need glider guns.
Before we try making glider guns, we first need high-period oscillators with usable sparks.
Those are things this rule doesn't seem to support.
However, if somebody finds one, then we could possibly build complex constructions like the pi hassler you want.

You are right. I have not seen too many natural occurring oscillators (or spaceships) with any sort of spark.

[wildmyron]

A p20 oscillator (not particularly sparky, but better than nothing)

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x = 6, y = 5, rule = B3-k/S2-i3-k4cen
b4o$bo2bo$o4bo$6o$o4bo!

A small orthogonal spaceship collection. t-life's disemi-MWSS makes an appearance, as does the c/5 composed of two interacting t-ships. Includes c/2, c/3, c/4, c/5 and c/6.

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x = 227, y = 85, rule = B3-k/S2-i3-k4cen
140bo2b3o2bo$142b2ob2o$137bobo2bobobo2bobo$136bobo11bobo$137b2obo7bob
2o2$138b3o7b3o$138b3o7b3o$136b2o13b2o$138b3o7b3o$139b2o7b2o$139bo9bo$
138bobo7bobo$139b2o7b2o$138b3o7b3o$138bo11bo$138bo11bo$136b2ob2o7b2ob
2o$138b3o7b3o2$138bo2bo5bo2bo$140bo7bo$137bo3b2o3b2o3bo$137bob2obo3bob
2obo$138b2o9b2o$139bo2bo3bo2bo$142bo3bo$140b2obobob2o$141bobobobo$139b
o9bo$140bo2bobo2bo$138bo2bobobobo2bo$139bo2bo3bo2bo$139bobo5bobo$140bo
7bo12$137b2o11b2o$136bo2bo9bo2bo$137bo3bo5bo3bo$137bo3bo5bo3bo$138b2o
9b2o$102b2ob2o30bobo9bobo$102b2ob2o30b4o7b4o$101bobobobo29bob2o7b2obo$
98b2o3bobo3b2o29b2obobob2o$102bo3bo34bobobobo$98bob2o5b2obo29bo3bo3bo$
98bo11bo33bo$141bo5bo$97bobo2b2ob2o2bobo30b2ob2o$97bobo2b2ob2o2bobo30b
5o$98b2obobobobob2o30b2o3b2o$26bo71b2o3bobo3b2o29b2ob3ob2o$18b2o2b2o3b
ob2o68bo2bo3bo2bo32b5o$22b2o76b2o5b2o$19bo2b5o3bo33b2o16b2o58bo3bo$19b
2o2bo3b3o35b2o14b2o55bob2obobob2obo$24b2obo39b3ob6ob3o56bob3obobob3obo
20b3o$5bobo11bo6bob2o35bo3bo2bo2bo2bo3bo54bo4b2ob2o4bo21bo$5bobo12bobo
2b2ob2o35bobobo8bobobo55bobo7bobo$bobobobo12b3o4bo37bo3bo3b2o3bo3bo56b
3o5b3o$bobob2obo13bo2b2o39bobo10bobo59b2o3b2o25b3o$bobo2b3o11b3o3b2o
39bo4b4o4bo16bo13bo29b2o3b2o$ob2o3bo14bo2bobo44bo2bo21bobo9bobo29b3ob
3o25bobo$3o17b2o4b2o43bo4bo21bo11bo33bo29bo18b2o$bo17b3o3b2o46b2o23bo
11bo31bo3bo$18bo3bobobobo38b3o8b3o62bobo42bo3b4o3bo21b2o2b2o$20bobo5b
2o39bobob2obobo18b2o11b2o30bobobo41bobob4obobo$18bo3bob2o2bo2bo20bo3bo
8bo2bo4b2o4bo2bo54b2o3bo3bo3b2o37b3ob2ob3o23b4o$bobobobo10bo5b3o2bo2bo
18bo5bo6bo5bo6bo5bo13bobo2b2ob2o2bobo26bo3b2ob2o3bo42b2o27bo2bo$bobobo
bo9bo5b2o2bo23b2obob2o6b2obob2o6b2obob2o13bobo2b2ob2o2bobo25b2o2b2o3b
2o2b2o70bo2bo$bobobobo10bobobo3bo2b2o21bobobo8bobobo8bobobo15b2obobobo
bob2o26bob3o5b3obo21b3o12b3o6b3o$ob2ob2obo9b2o2bo3b2o2bo21bo3bo8bo3bo
8bo3bo15b2o3bobo3b2o27b13o71b4o$3o3b3o10b3o5b3o23bobo10bobo10bobo17bo
2bo3bo2bo33bobo27bobo12bobo6bobo22bo2bo$bo5bo12bo7bo25bo12bo12bo19b2o
5b2o35bo29bo14bo8bo24b2o!

A pi stopper, probably useless at this stage.

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x = 9, y = 8, rule = B3-k/S2-i3-k4cen
2o5b2o$2o5b2o4$3b3o$3bobo$3bobo!