The Edges of Life
TCNJ Math League 2023 July 27

Glen Whitney

studioinfinity.org/edges

Happy to return to Math League

2016

2017

2018

2019

What is that?

Conway’s Game of Life

Credit: Takayuki Hirose & Tetsuo Sawaragi

Conway’s Game of Life

How is that Life?

One dimensional cellular automata

Credit: Cormullion

See it all at once

Credit: Stephen Wolfram, LLC

So that’s how

Change of emphasis

Change of perspective

Natural neighborhood

Two flavors

Simplest weights

Simplest rule

Simplest rule

“Life on the Edge” Franklin T. Adams-Watters 2007

Only ever published via email (!)

Polysticks

Credit: R. A. Nonenmacher

Fates up to tristicks

Fates up to tetrasticks

Let’s build something!

Example diagram

The big generation

The final generation

Thank you!

Glen Whitney

studioinfinity.org/edges

Fill in the blank

	Edges	Faces	Vertices
Snub dodecahedron
Cellular automata	(today)		????