Ant on Platonic Polyhedra
Brilli the Ant has a new platonic polyhedron .
He knows it is possible for him to walk on all the edges without having to walk on any one of them twice.
Which polyhedron could it be?
Inspired by Eulero Docet
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1 solution
If an odd number edges meet at a vertex, these need to be the vertices, he either starts or ends on. So you can have at most two of these to fulfill Brilli's criteria above.
Since the octahedron is the only Platonic solid without three or more vertices which join an odd number of edges, it is the only one that Brilli can use to walk on all edges without having to walk on any twice.