[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/es8huh4x]applet.[/url][/size]
[size=85]The elements of the Biscribed Pentakis Dodecahedron(4) -[b]Truncated icosidodecahedron[/b]. It bounded by:[br][b]Vertices: [/b] V =120.[br][b]Faces: [/b] F =62. 30{4}+20{6}+12{10}[br][b]Edges: [/b] E =180. 60+60+60 - The order of the number of edges in this polyhedron are according to their length.[/size]
[size=85][b] Truncated icosidodecahedron:[/b][br][url=https://en.wikipedia.org/wiki/Truncated_icosidodecahedron]https://en.wikipedia.org/wiki/Truncated_icosidodecahedron[/url][br][table][tr][td][b]Type[/b][/td][td]Archimedean solid[br]Uniform polyhedron[/td][/tr][tr][td][b]Elements[/b][/td][td][i]F[/i] = 62, [i]E[/i] = 180, [i]V[/i] = 120 (χ = 2)[/td][/tr][tr][td][b]Faces by sides[/b][/td][td]30{4}+20{6}+12{10}[/td][/tr][/table][/size][table][tr][td][/td][/tr][/table]
[size=85]The elements of the[b] dual [/b]to the Biscribed Pentakis Dodecahedron(4) (Truncated icosidodecahedron) -[b]Disdyakis triacontahedron[/b][br][b]Vertices:[/b] V = 62.[br][b]Faces:[/b] F =120. 120{3} [br][b]Edges:[/b] E =180. 60+60+60- the order of the number of edges in this polyhedron are according to their length.[/size]
[size=85][table][tr][td] [b] Disdyakis triacontahedron :[/b][br][/td][/tr][/table][table][tr][td]Type[/td][td][i]Catalan[/i][/td][/tr][tr][td][url=https://en.wikipedia.org/wiki/Conway_polyhedron_notation]Conway notation[/url][/td][td]mD or dbD[/td][/tr][tr][td]Coxeter diagram[/td][td][img width=5,height=23]https://upload.wikimedia.org/wikipedia/commons/9/9b/CDel_node_f1.png[/img][img width=7,height=23]https://upload.wikimedia.org/wikipedia/commons/1/16/CDel_5.png[/img][img width=5,height=23]https://upload.wikimedia.org/wikipedia/commons/9/9b/CDel_node_f1.png[/img][img width=6,height=23]https://upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png[/img][img width=5,height=23]https://upload.wikimedia.org/wikipedia/commons/9/9b/CDel_node_f1.png[/img][/td][/tr][tr][td][b]Face polygon[/b][/td][td][url=https://en.wikipedia.org/wiki/File:DU28_facets.png][img width=60,height=60]https://upload.wikimedia.org/wikipedia/commons/thumb/5/56/DU28_facets.png/60px-DU28_facets.png[/img][/url][br][b]scalene triangle[/b][/td][/tr][tr][td][b]Faces[/b][/td][td]120[/td][/tr][tr][td][b]Edges[/b][/td][td]180[/td][/tr][/table][br][url=https://en.wikipedia.org/wiki/Disdyakis_triacontahedron]https://en.wikipedia.org/wiki/Disdyakis_triacontahedron[/url][/size]
