Another Faceting of the Great Rhombicosidodecahedron

Faceted Trunc Icosidodeca

This could also be called one of many possible faceted truncated icosidodecahedra. I made it using Stella 4d, which you can try and/or buy here. Faceting is the reciprocal operation of stellation, and involves connecting the vertices of a polyhedron into faces which are unlike those of the original polyhedron. At least some, and sometimes all, of the faceted faces intersect each other, inside the polyhedron’s convex hull, as is the case here.

For comparison, here is that convex hull: a (non-faceted) great rhombicosidodecahedron, also made using Stella.

Trunc Icosidodeca

For a different faceting of this polyhedron, just look here: https://robertlovespi.wordpress.com/2013/11/19/a-faceting-of-the-great-rhombicosidodecahedron/

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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2 Responses to Another Faceting of the Great Rhombicosidodecahedron

  1. swo8 says:

    Now that would the complicated and then the simple version.
    Leslie

    Like

  2. teachezwell says:

    My goodness, that is intricate. You could start designing stained glass windows if only these were flat!

    Liked by 1 person

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