Truncated icosidodecahedron (V=120) from Biscribed Pentakis Dodecahedron for the case of trisection of its 4th-order segments
[size=85] A polyhedron is constructed whose V=120 vertices are the points of the trisection of the segments the same length 4th-order(g=4) of the [url=https://www.geogebra.org/m/hczvuvhg]Biscribed Pentakis Dodecahedron[/url]. [br] Geometric Constructions are in [url=https://www.geogebra.org/m/p4a5zccm]Applet[/url]: Series of polyhedra obtained by trisection (truncation) different segments of the original polyhedron, and the resulting polyhedra in [url=https://www.geogebra.org/m/uej4qnte]Applet[/url]: Serie of polyhedra obtained by trisection (truncation) segments of the Biscribed Pentakis Dodecahedron.[br][img]https://cdn.geogebra.org/resource/r5xrv689/0TGsQRTjAwZdAcRt/material-r5xrv689.png[/img][/size]
1. Generating Elements of mesh modeling the surfaces of convex polyhedron and its dual image
2. Coloring edges and faces of polyhedra
3. Properties of polyhedra
[size=85] [url=http://dmccooey.com/polyhedra/BiscribedTruncatedIcosidodecahedron.html]Biscribed Truncated Icosidodecahedron[/url][br]Vertices: 120 (120[3])[br]Faces: 62 (30 rectangles + 20 ditrigons + 12 dipentagons)[br]Edges: 180 (60 short + 60 medium + 60 long)[br][br]http://dmccooey.com/polyhedra/BiscribedDisdyakisTriacontahedron.html[br]Disdyakis Triacontahedron ?[br]Vertices: 62 (20[3] + 12[5] + 30[8])[br]Faces: 120 (acute triangles)[br]Edges: 180 (60 short + 60 medium + 60 long)[/size]