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How to make an edge-coloured origami dodecahedron

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 Fine Arts   |   Crafts   |   Math
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Check out Skillshare: http://skl.sh/standupmaths

Using the code STANDUPMATHS you can get two months of the premium version for free (which is normally from $8 USD per month).

Go straight to the origami star lesson: http://skl.sh/origami-class

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/

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