# 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)

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