Google Classroom
GeoGebraGeoGebra Classroom

Biscribed Pentakis Dodecahedron (V=32) from Biscribed Pentakis Dodecahedron for the case of a trisection of its 11th-order segments

A polyhedron is constructed whose V=32 vertices are the points of the trisection of the segments the same length 11th-order (g=11) 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.
Image

1. Generating Elements of mesh modeling the surfaces of convex polyhedron and its dual image

2. Coloring edges and faces of polyhedra

3. Properties of polyhedra

3. Properties of polyhedra
Biscribed Pentakis Dodecahedron Vertices: 32 (12[5] + 20[6]) Faces: 60 (isosceles triangles) Edges: 90 (60 short + 30 long) Dual Solid: Biscribed Truncated Icosahedron Vertices: 60 (60[3]) Faces: 32 (12 regular pentagons + 20 ditrigons) Edges: 90 (30 short + 60 long)
The vertices of the last trisection of the segments of the original polyhedron are again its vertices!