Rhombicosidodecahedron (V=60) from Biscribed Pentakis Dodecahedron for the case of trisection of its 8th-order segments(Variant1)
A polyhedron is constructed whose V=60 vertices are the points of the trisection of the segments the same length 8th-order(g=8) of the Biscribed Pentakis Dodecahedron.
Geometric Constructions are in Applet: Series of polyhedra obtained by trisection (truncation) different segments of the original polyhedron, and the resulting polyhedra in Applet: Serie of polyhedra obtained by trisection (truncation) segments of the Biscribed Pentakis Dodecahedron.
![Image](https://www.geogebra.org/resource/bx2fpxfq/mvYH1oy4nqnOSK11/material-bx2fpxfq.png)
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
![3. Properties of polyhedra](https://www.geogebra.org/resource/kpn347nn/oCWNl06eYKrzPKas/material-kpn347nn.png)
as Rhombicosidodecahedron
Dual
Vertices: 62 (30[4] + 20[6] + 12[10])
Faces: 120 (acute triangles)
Edges: 180 (60 short + 60 medium + 60 long)
Vertices: | 60 (60[4]) |
Faces: | 62 (20 equilateral triangles + 30 squares + 12 regular pentagons) |
Edges: | 120 |
![[size=85][u]Comparing my images and from sources:[/u]
[b]Rhombicosidodecahedron-Deltoidal hexecontahedron[/b]
[url=https://en.wikipedia.org/wiki/Rhombicosidodecahedron]https://en.wikipedia.org/wiki/Rhombicosidodecahedron[/url]
[url=http://dmccooey.com/polyhedra/Rhombicosidodecahedron.html]http://dmccooey.com/polyhedra/Rhombicosidodecahedron.html[/url]
[url=https://en.wikipedia.org/wiki/Deltoidal_hexecontahedron]https://en.wikipedia.org/wiki/Deltoidal_hexecontahedron[/url];
[url=http://dmccooey.com/polyhedra/DeltoidalHexecontahedron.html]http://dmccooey.com/polyhedra/DeltoidalHexecontahedron.html[/url][/size]](https://www.geogebra.org/resource/eaysrrec/ySxLqwX8ZVHUrwoH/material-eaysrrec.png)