2018-04-26

[public] 65.9K views, 1.93K likes, 72.0 dislikes audio only

PBS Infinite Series

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Imagine you have four cubes, whose faces are colored red, blue, yellow, and green. Can you stack these cubes so that each color appears exactly once on each of the four sides of the stack?

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Now, the coloring on these cubes is very important. In other words: we’re only considering THESE four particular cubes. So, for example, cube 1 has exactly three red faces, and one yellow, green, and blue face, moreover, those colors appear on the particular faces as indicated. Similarly for the other cubes.

Previous Episode:

Defining Infinity

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Written and Hosted by Tai-Danae Bradley

Graphics by Matt Rankin

Assistant Editing and Sound Design by Mike Petrow and Linda Huang

Made by Kornhaber Brown (www.kornhaberbrown.com)

Print off a template for the cubes shown in the video!

https://bit.ly/2HWYNaY

Resources:

Introduction to Graph Theory by Robin J. Wilson https://www.amazon.com/Introduction-Graph-Theory-Robin-Wilson/dp/027372889X

Special thanks to Roman Pinchuk for supporting us on our Converse level on Patreon.

Along with thanks to Matthew O'Connor, Yana Chernobilsky, and John Hoffman who are supporting us on Patreon at the Identity level!

And thanks to Mauricio Pacheco and Andrew Poelstra who is supporting us at the Lemma level!