Rhombicosidodecahedron from Biscribed Pentakis Dodecahedron for the case of trisection of its 1st-order segments
- Roman Chijner
A polyhedron is constructed whose V=120 vertices are the points of the trisection of the segments the same length 1st-order (g=1) of the Biscribed Pentakis Dodecahedron. Geometric Constructions are in Applet: Series of polyhedra obtained by trisection (truncation) different segments of the original polyhedron, and the resulting polyhedra in Applet: Serie of polyhedra obtained by trisection (truncation) segments of the Biscribed Pentakis Dodecahedron.
1. Generating Elements of mesh modeling the surfaces of convex polyhedron and its dual image
2. Coloring edges and faces of polyhedra
If we assume that all quadrilaterals lie in the same plane, then our polyhedron approximately looks like Rhombicosidodecahedron : https://robertlovespi.net/2014/06/02/zonish-versions-of-the-rhombicosidodecahedron/ This polyhedron based on adding zones along the five-fold symmetry axes of a rhombicosidodecahedron. All its edges are the same length, and its 62 faces include 20 triangles, 12 regular pentagons and 30 elongated octagons.