Images . Truncated icosahedron (V=60) from Biscribed Pentakis Dodecahedron for the case of trisection of its 3rd-order segments
Generating Elements of mesh modeling the surfaces of polyhedron, its dual image and the coloring of their edges and faces can be found in the applet.
Elements in polyhedron Biscribed Pentakis Dodecahedron(3) -Truncated icosahedron:
Vertices: V=60.
Faces: F =32. 12{5}+20{6}
Edges: E =90.
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
The elements of the dual to the Biscribed Pentakis Dodecahedron(3)- Pentakis dodecahedron:
Vertices: V =32.
Faces: F =60. 60{3}
Edges: E =90. 60+30- The order of the number of edges in this polyhedron are according to their length.
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)
