Comments on: Dual polyhedra for kidshttp://www.johndcook.com/blog/2012/11/14/dual-polyhedra/ Singular Value ConsultingWed, 24 Aug 2016 09:07:32 +0000hourly1https://wordpress.org/?v=4.6By: Spectral graph coordinates in Pythonhttp://www.johndcook.com/blog/2012/11/14/dual-polyhedra/comment-page-1/#comment-689381 Fri, 15 Jan 2016 15:33:13 +0000http://www.johndcook.com/blog/?p=12463#comment-689381[…] We illustrate this with a graph constructed from a dodecahedron, a regular solidÂ with twenty vertices and twelve pentagonal faces. You can make a dodecahedron from a soccer ball by connecting the centers of all the white hexagons. Here’s one I made from Zometool pieces for a previous post: […] ]]>By: Canageekhttp://www.johndcook.com/blog/2012/11/14/dual-polyhedra/comment-page-1/#comment-3489 Thu, 15 Nov 2012 18:08:16 +0000http://www.johndcook.com/blog/?p=12463#comment-3489More interesting is the fact that that is a d12 on the left, and a d20 on the right. The platonic solids are used for dice in games such as D&D.

Also the d10, which isn’t a platonic solid, but we use it anyway.

]]>By: Shivaram Shttp://www.johndcook.com/blog/2012/11/14/dual-polyhedra/comment-page-1/#comment-3488 Thu, 15 Nov 2012 15:44:46 +0000http://www.johndcook.com/blog/?p=12463#comment-3488Beautiful! ]]>By: ghttp://www.johndcook.com/blog/2012/11/14/dual-polyhedra/comment-page-1/#comment-3487 Thu, 15 Nov 2012 01:47:39 +0000http://www.johndcook.com/blog/?p=12463#comment-3487In the special case of dual polyhedra, I submit that the Right Way to see that the number of edges is the same for both is to observe that they’re in 1-1 correspondence: the edge shared by faces a,b corresponds to the edge joining vertices A,B. ]]>