How to make an edge-coloured origami dodecahedron

2016-12-26

[public] 215K views, 5.82K likes, 54.0 dislikes audio only

Download my two colourings of the dodecahedron graph.

https://www.dropbox.com/s/x1sn5tqi4ara9ov/dodecoration-three-colour.jpg?dl=0

https://www.dropbox.com/s/3rpsbitya3np1x4/dodecoration-five-colour.jpg?dl=0

The site “What’s on my blackboard?” has a great post on colouring dodecahedra, which I found very useful.

https://whatsonmyblackboard.wordpress.com/2011/07/11/colouring-dodecahedra/

Here is the Petersen Graph on wikipedia.

https://en.wikipedia.org/wiki/Petersen_graph

So far I have been sent ZERO solutions to the “Why those six pentagon edge-colourings” challenge. Watch this space!

CORRECTIONS

- I sometimes say things like “three colouring” without specifying that I’m talking about colouring the edges, not the vertices (which are the default option). But I hope it is clear from context.

- Let me know if you spot any other errors!

Music by Howard Carter

Design by Simon Wright

MATT PARKER: Stand-up Mathematician

Website: http://standupmaths.com/

Maths book: http://makeanddo4D.com/

Nerdy maths toys: http://mathsgear.co.uk/