[size=85]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 [url=https://www.geogebra.org/m/tgq6w8yd ]applet[/url].[/size]

[size=85][b] Elements in polyhedron Biscribed Pentakis Dodecahedron(3) -[b]Truncated icosahedron:[/b][/b][br][b]Vertices:[/b] V=60.[br][b]Faces:[/b] F =32. 12{5}+20{6}[br][b]Edges: [/b] E =90. [/size]

[size=85][b] Truncated icosahedron:[/b][br][url=https://en.wikipedia.org/wiki/Truncated_icosahedron]https://en.wikipedia.org/wiki/Truncated_icosahedron[/url][br][url=http://dmccooey.com/polyhedra/TruncatedIcosahedron.html]http://dmccooey.com/polyhedra/TruncatedIcosahedron.html[/url][br][b]Vertices:[/b] 60 (60[3])[br][b]Faces:[/b] 32 (12 regular pentagons + 20 regular hexagons)[br][b]Edges:[/b] 90[/size]

[size=85]The elements of the [b]dual[/b] to the Biscribed Pentakis Dodecahedron(3)-[b] Pentakis dodecahedron:[/b][br][b]Vertices: [/b] V =32.[br][b]Faces: [/b] F =60. 60{3} [br][b]Edges: [/b] E =90. 60+30- The order of the number of edges in this polyhedron are according to their length.[/size]

[size=85][b] Pentakis dodecahedron:[/b][br][url=https://en.wikipedia.org/wiki/Pentakis_dodecahedron]https://en.wikipedia.org/wiki/Pentakis_dodecahedron[/url][br][url=http://dmccooey.com/polyhedra/PentakisDodecahedron.html]http://dmccooey.com/polyhedra/PentakisDodecahedron.html[/url][br][b]Vertices:[/b] 32 (12[5] + 20[6])[br][b]Faces:[/b] 60 (isosceles triangles)[br][b]Edges:[/b] 90 (60 short + 30 long)[/size]