Rotation axes of the triangles are the 4 vertex-to-opposite-vertex axes of the Cube.

Two motions: 1) All triangles rotate, 2) Polar opposite triangles don't rotate.

Jitterbug vertices trace out portions of ellipses.

Ellipse = Slice of a Cylinder

The vertices are on the surfaces of 4 intersecting cylinders.

Portion of the ellipse and the polyhedron positions.

By how much is the Jitterbug's triangles rotated for the various polyhedra positions?

VE to Icosahedron

Octahedron to Dodecahedron position

VE to Dodecahedron

Octahedron to Icosahedron position

If the vertices are allowed to move completely around the ellipse

another set of the polyhedra positions are found.

another set of the polyhedra positions are found.

Summary of Angles

Copyright September, 2007 by Robert W. Gray