# Dissection of Two Rhombic Solids into an Icosidodecahedron and a Rhomb-Icosi-Dodecahedron

Requires a Wolfram Notebook System

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

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

This Demonstration gives a dissection of the rhombic hexecontahedron and of a rhombic-like solid that consists of 30 halves of the rhombic dodecahedron of the second kind put on a triacontahedron; the result is a combination of the icosidodecahedron and the rhomb-icosi-dodecahedron.

Contributed by: Izidor Hafner (March 2011)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

That such dissections exist follows from [1], where it is shown that certain combinations of Platonic and Archimedean solids have Dehn invariant 0.

[1] J. H. Conway, C. Radin, and L. Sadun, "On Angles Whose Squared Trigonometric Functions Are Rational,"* Discrete & Computational Geometry*, 22(3), 1999 pp. 321–332.