Dodecahedral Rhombic Monohedra

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

This Demonstration shows Grünbaum's classification of dodecahedral rhombic monohedra.


To summarize the situation concerning dodecahedral rhombic monohedra, we have the following polyhedra of spherical type:

Two convex dodecahedra (Kepler's and Bilinski's: 1 and 2)

Three simply indented dodecahedra (one from Kepler's polyhedron and two from Bilinski's: 3, 4, 5)

One doubly indented dodecahedron (Bilinski's polyhedron: 6) [1, p. 14]


Contributed by: Izidor Hafner (July 2019)
Open content licensed under CC BY-NC-SA


[1] B. Grünbaum. "The Bilinski Dodecahedron, and Assorted Parallelohedra, Zonohedra, Monohedra, Isozonohedra and Otherhedra." (Jul 16, 2019)


Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.