# Rhombicosidodecahedron (V=60) from Biscribed Pentakis Dodecahedron for the case of trisection of its 8th-order segments(Variant1)

- Author:
- Roman Chijner

- Topic:
- Solids or 3D Shapes, Sphere, Surface, Vectors

A polyhedron is constructed whose V=60 vertices are the points of the trisection of the segments the same length 8th-order(g=8) 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

## 3. Properties of polyhedra

as Rhombicosidodecahedron

Dual
Vertices: 62 (30[4] + 20[6] + 12[10])
Faces: 120 (acute triangles)
Edges: 180 (60 short + 60 medium + 60 long)

Vertices: | 60 (60[4]) |

Faces: | 62 (20 equilateral triangles + 30 squares + 12 regular pentagons) |

Edges: | 120 |

__Comparing my images and from sources:__

**Rhombicosidodecahedron-Deltoidal hexecontahedron**https://en.wikipedia.org/wiki/Rhombicosidodecahedron http://dmccooey.com/polyhedra/Rhombicosidodecahedron.html https://en.wikipedia.org/wiki/Deltoidal_hexecontahedron; http://dmccooey.com/polyhedra/DeltoidalHexecontahedron.html