software3d.com

Hey,

I just uploaded photos of a new shape I made. This one is flexible! It can transform between a regular dodecahedron and a rhombic dodecahedron.


http://www.software3d.com/DodMorph.php

There's even a YouTube video of it in action

Rob.

I'm lousy at mathematics, but does this imply that the volume of a regular dodecahedron is twice the cube of tau (1.6180339etc) times its edge length?

No, because when in rhombic dodecahedral form, there are some gaps inside (although the orange parts do fold flat against each other).

However it is true of the rhombic dodecahedron, that it has twice the volume of a cube whose edge is the length of one of the rhombus's short diagonals.

Rob.