Generations

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Hello, traveler! Generations is a Mastodon feed to give you brief updates on the wonderfully weird world of Conway's Game of Life.

🏹 RAPIDFIRE DISCOVERIES

This past Thursday, P1GG stunned the Conway's Game of Life world with their discovery of two tiny glider guns of periods 15 and 16.

P1GG's finds are the lowest-period glider guns yet discovered to be true-period. That is, the mechanisms that produce their gliders are actually periodic with periods 15 and 16!

It's a big leap forward for glider gun technology -- previously, the lowest period for which we had a true-period glider gun was 20.

#cgol #math

🎯 HONING IN

Everything seems still... until you notice the stray glider on the move. What could it be up to?

Making an oscillator, of course!

This remarkable period-134 oscillator was found this week by Entity Valkyrie and reduced by P1GG and David Raucci. With a minimum population of 141, it's the smallest oscillator of its period by population.

See it for yourself here: https://conwaylife.com/wiki/G-to-X_(January_2024)#Other

#cgol #math

G-to-X (January 2024) - LifeWiki

 ONE STEP AT A TIME

In this week's notable news from the Conway's Game of Life community, Goldtiger997 has completed the glider synthesis of the smallest c/6 diagonal spaceship, 77P6H1V1:

https://conwaylife.com/forums/viewtopic.php?f=2&t=1557&p=176602#p176602

It's the first spaceship of its speed to be synthesized.

#cgol #math

Small Spaceship Syntheses - Page 29 - ConwayLife.com

Adam P. Goucher's full explanation of his phoenix proof is now live on his cp4space blog: https://cp4space.hatsya.com/2024/01/20/every-finite-phoenix-has-period-2/

#cgol #math

Every finite phoenix has period 2

A phoenix is an oscillator in Conway’s Life where every cell dies in every generation. The smallest example is Phoenix 1, which oscillates with period 2 and has a constant population of 12: A…

Complex Projective 4-Space