Geometry: How to Order the Edges of a Cube?

By Xah Lee. Date:

what's the most elegant way to order the 12 edges of a cube?

for the background of where this problem came from, see geometry: symmetry of symmetry, problem within problem

i just thought about the drawing cube edge elegant order problem. So, a cube has a cube group S4. So, the problem is simply defining and finding the order of elements of S4. And in general, given a symmetry group, how should we define a order of its elements? what's most elegant? what's most useful? Now, with this understood, it's much easier to search existing literature for the answer.

discussion at

See also:

Number Of Ways To Loop n Points