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Relating the Great Rhombicosidodecahedron to Several Other Polyhedra

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This Demonstration shows the relationship of a great rhombicosidodecahedron (an Archimedean solid) with its dual disdyakis triacontahedron (a Catalan solid), a tetrahedron, an icosahedron and the golden lines of a triangle.

Contributed by: Sándor Kabai (October 2019)
Open content licensed under CC BY-NC-SA

Details

In [1], Pugh points out that the Archimedean solids are all capable of being circumscribed by a regular tetrahedron so that four of their faces lie on the faces of that tetrahedron.

Reference

[1] A. Pugh, Polyhedra: A Visual Approach, Berkeley: University of California Press, 1976 p. 25.

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