Truncated Icosahedron (V=60) from Biscribed Pentakis Dodecahedron for the case of trisection of its 3rd-order segments
A polyhedron is constructed whose V=60 vertices are the points of the trisection of the segments the same length 3rd-order(g=3) 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
Properties of polyhedra
Truncated icosahedron:
https://en.wikipedia.org/wiki/Truncated_icosahedron
http://dmccooey.com/polyhedra/TruncatedIcosahedron.html
Vertices: 60 (60[3])
Faces: 32 (12 regular pentagons + 20 regular hexagons)
Edges: 90
Pentakis dodecahedron:
https://en.wikipedia.org/wiki/Pentakis_dodecahedron
http://dmccooey.com/polyhedra/PentakisDodecahedron.html
Vertices: 32 (12[5] + 20[6])
Faces: 60 (isosceles triangles)
Edges: 90 (60 short + 30 long)