Hamiltonian Cycles

Posted this on StackExchange about Hamiltonian Cycles. A Hamiltonian Cycle model involves tracing around the edges of a model:

“A Hamiltonian cycle is a closed loop on a graph where every node (vertex) is visited exactly once.”

There’s more at the link:

Polyhedron edge outlines help [Hamiltonian Cycles] (See image)

Example blend file below.

Hamiltonian Platonics:

hamiltonian_polys_blend.blend (1.1 MB)

Explore the possibilities. Have fun!

Did this with the Dodec Hamiltonian Path. Playing around with it, relaxing the edges, spinning an array using an Empty, I came up with this. I then converted it to a curve, used a bezier circle as the bevel object to thicken the edges and added a gold material.