Category Archives: Mathematics

The dominant topic of my blog. You figured that out from the blog’s name, though, right?

An Expansion of the Rhombicosidodecahedron

This expanded version of the rhombicosidodecahedron has, as faces, 30 rhombi, 60 almost-square trapezoids, twelve regular pentagons, and twenty equilateral triangles, for a total of 122 faces. I made it using Stella 4d, software you may try for free at … Continue reading

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Eight Kite-Rhombus Solids, Plus Five All-Kite Polyhedra — the Convex Hulls of the Thirteen Archimedean-Catalan Compounds

In a kite-rhombus solid, or KRS, all faces are either kites or rhombi, and there are at least some of both of these quadrilateral-types as faces. I have found eight such polyhedra, all of which are formed by creating the … Continue reading

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Ten Different Facetings of the Rhombicosidodecahedron

This is the rhombicosidodecahedron. It is considered by many people, including me, to be the most attractive Archimedean solid. To create a faceted polyhedron, the first step is to get rid of all the faces and edges, leaving only the … Continue reading

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Triglines

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Angels of Trigonometry

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Triangles and Circles

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Three Stellations of the Snub Dodecahedron

This is the 43rd stellation of the snub dodecahedron. The next one shown is the snub dodecahedron’s 50th stellation. Finally, here is the snub dodecahedron’s 72nd stellation. All three of these rotating images were made using Stella 4d: Polyhedron Navigator. … Continue reading

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