KEPLER'S RHOMBIC DODECAHEDRON
Kepler's Rhombic Dodecahedron is one of the most fascinating of the simple solids
In geometry, the rhombic dodecahedron is a convex polyhedron with 12 congruent rhombic faces.
It has 24 edges, and 14 vertices of 2 types. It is a Catalan solid, and the dual polyhedron of the cuboctahedron.
PROPERTIES
The long face-diagonal length is exactly square root of 2 (sqrt(2)) times the short face-diagonal length.
Being the dual of an Archimedean polyhedron, the rhombic dodecahedron is face-transitive, meaning the symmetry group of the solid acts transitively on its set of faces. In elementary terms, this means that for any two faces A and B, there is a rotation or reflection of the solid that leaves it occupying the same region of space while moving face A to face B.
More to come.
TO HAVE A BETTER VIEW, HERE ARE SOME IMAGES:
View in 3d
Wired view
Single face form
The unravelled Rhombic Dodecahedron on a 2D surface
Astounishing animation
You can even play "Rubik's cube" with a rhombic dodecahedron. We could call it an "Al_b's rhombic dodecahedron"! :) :) :)
