Saturday, January 30, 2010

Geometry Storyboard

Three mutual perpendiculars were not an option, given the initial axes, so this is not a cube.

A first hexahedron.

This one builds flat.

A squashed zero-volume hexahedron. These count.

Removing extra edges.

The third possible hexahedron, starting with the 60-120 rhombus.

Not zero volume.

Adding to the zero volume base plate.

A zonohedron is born of four hexahedra. An hexagonal prism.
A rhombic dodecahedron in disguise.