Herschel enneahedron net
Last Updated:
11 years ago
License:
Other (as stated in the work)
Abstract:
Herschel enneahedron net
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%\title{Herschel enneahedron net}
% Herschel enneahedron net, by Christian Perfect 2013.
% With Dr Michael White and Yameng Ji
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{\Huge Herschel enneahedron net}
by Christian Perfect
This is the smallest \textit{non-Hamiltonian} \mbox{polyhedron} -- you can't draw a path starting and ending at the same vertex which visits each vertex exactly once.
It's also the only enneahedron (nine-faced solid) in which every face has the same number of edges, and is one of only three \textit{bipartite} enneahedra.
The Herschel enneahedron has $D_6$ symmetry -- the symmetries of a regular hexagon.
There's some more information on how this shape was \mbox{constructed} at
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\mbox{\url{http://bit.ly/herschelgraph}}
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