ConwayLife.com

bubblegum wrote: December 9th, 2020, 9:25 pm Buns can synthesise anything glider-constructible given a target block from the wing and gliders to create a slow salvo from.

MathAndCode wrote: December 9th, 2020, 9:09 pm Here are examples with blocks:
Two blocks can create a honeyfarm.

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x = 5, y = 3, rule = Conway's Life
2o$2ob2o$3b2o!

Three blocks can create a century sequence.

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x = 5, y = 6, rule = Conway's Life
3b2o$2ob2o$2o2$2b2o$2b2o!

An R-sequence also requires only three blocks.

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x = 8, y = 4, rule = Conway's Life
6b2o$2o4b2o$2ob2o$3b2o!

For a while, my best method of generating a glider was a five-block method based off of the Snark.

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x = 12, y = 15, rule = Conway's Life
10b2o$10b2o4$2o$2o$9b2o$6b2ob2o$6b2o4$10b2o$10b2o!

However, I recently found a three-block synthesis.

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x = 6, y = 7, rule = Conway's Life
2o$2o2$b2o$b2o$4b2o$4b2o!

What are the cheapest block-based syntheses for other objects?



For blinkers, an R-sequence, a thunderbird sequence, a teardrop, and a blockade each require two blinkers.

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x = 5, y = 3, rule = Conway's Life
o$o$ob3o!

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x = 5, y = 3, rule = Conway's Life
o$ob3o$o!

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x = 5, y = 4, rule = Conway's Life
o$o$o$2b3o!

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x = 3, y = 4, rule = Conway's Life
o$obo$obo$2bo!

Two buns can make a glider or a wing sequence.

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x = 6, y = 8, rule = Conway's Life
3b2o$2bo2bo$3b3o2$bo$obo$obo$2o!

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x = 8, y = 5, rule = Conway's Life
b2o$o2bo2bo$b3obobo$5bobo$5b2o!

Three buns can make an R-sequence.

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x = 7, y = 12, rule = Conway's Life
2b2o$bo2bo$2b3o3$5bo$4bobo$4bobo$4b2o$b2o$o2bo$b3o!

What other bun syntheses are possible?

MathAndCode wrote: December 9th, 2020, 9:34 pm

bubblegum wrote: December 9th, 2020, 9:25 pm Buns can synthesise anything glider-constructible given a target block from the wing and gliders to create a slow salvo from.

Is there a more efficient way to synthesize an arbitrary object (say…a snacker) with buns?

x = 16, y = 11, rule = LifeHistory
8.B3.2B$6.A8B$4.BABA7B$3.2BABA7B$.5BA9B$9B2A4B$.4BA2BA2BA4B$3.BABA2B2A
5B$4.ABA9B$5.A8B$10.3B!