Rolling Skewered Cube

Simulator of a cube with an axle skewered through it.

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Original problem was a cube with an axle through opposite vertices.

GIF of a handmade paper cube rolling on a piece of paper

When one end of the protruding axle is fixed to a point on the flat surface, the cube's motion is confined to tracing out 'petals'.

The simulator allows for Vertex-Vertex, Edge-Edge, and Face-Face skewering of the cube.