The Small Ditrigonal Icosidodecahedron, Together with Its Fifth Stellation

Faceted Dodeca

I made the polyhedron above by performing a faceting of the dodecahedron, and only realized, after the fact, that I had stumbled upon one of the uniform polyhedra, a set of polyhedra I have not yet studied extensively. It is called the small ditrigonal icosidodecahedron, and its faces are twelve star pentagons and twenty equilateral triangles, with the triangles intersecting each other. Below is its fifth stellation, which appears to be a compound of a yellow dodecahedron and a red polyhedron which I do not (yet) recognize, although it does look quite familiar.

5th stellation of the Small Ditrigonal Icosidodeca

Both images were created using Stella 4d, software you can try right here.

About RobertLovesPi

I go by RobertLovesPi on-line, and am interested in many things. The majority of these things are geometrical. Welcome to my little slice of the Internet. The viewpoints and opinions expressed on this website are my own. They should not be confused with the views of my employer, nor any other organization, nor institution, of any kind.
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One Response to The Small Ditrigonal Icosidodecahedron, Together with Its Fifth Stellation

  1. Talinuva says:

    It appears to be a Triakis Icosahedron.

    Like

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