Monday, July 22, 2013

[jeiiqnyv] Wire cube

Consider a path which traverses some of the edges of a cube.  (No Eulerian path through all the edges exists.)  How many such paths are there, ignoring rotations and reflections?

Construct each by bending a single piece of wire.

Inspired by an art piece which enumerated (I think) all connected subsets of edges of a cube.  This is a subset of those.

I think it necessarily requires at least 4 wires to do all edges.  Other shapes and lattices?

1 comment :

akb427 said...

You've seen Bathsheba's work?