Rhombic Dodecahedron Mirror Box
1984, Rhombic Dodecahedral Mirror Box, Private Collection
The rhombic dodecahedron is a twelve-sided solid. Each of its sides are identical equilateral diamond shapes (rhombs). The ratio of the diagonals of the sides are 1/√2. The sides are in the angle (dihedral angle) 120°. Consequently it has many unique properties. One is that copies of it can be arranged face to face to fill space without any gaps. Importantly, it is one of a few geometric solids, like the cube, that are also space fillers.
As a result of this unique property, viewing the inside of the mirror box is identical to viewing a lattice of rhombic dodecahedra from the inside.
The material is red oak with mirror glass and a transparent glass window. Since the dihedral angle is 120°, cutting the 60° angle for the wooden shell was straightforward. The facial angles were a little more challenging with the acute one at 70.53° and the obtuse angle of 109.47°.
Random internal view one
I wish I could have a better picture of the interior. Sorry.
Random internal view two
The mirror rhombic dodecahedron is delightful.
It would be an attractive decoration.
Do you know of anyone who crafts them for sale?
Cheers
jerry
Thank you, Jerry. Sorry, I don’t know of any available geometric mirror boxes. You might try an import or Christmas shop for geometric decorations.