Images 1. Rhombicosidodecahedron from Biscribed Pentakis Dodecahedron for the case of trisection of its 1st-order segments

[size=85]A polyhedron is constructed whose V=120 vertices are the points of the trisection of the segments the same length 1st order(g=1) 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.[br]Generating Elements of mesh modeling the surfaces of convex polyhedrons and its dual images and Coloring edges and faces of polyhedra is in [url=https://www.geogebra.org/m/tp4ysjct]Applet[/url].[br]*[url=https://robertlovespi.net/2014/06/02/zonish-versions-of-the-rhombicosidodecahedron/]The Seven Zonish Rhombicosidodecahedra[/url] [/size]
n=120; Rhombicosidodecahedron
If we assume that all quadrilaterals lie in the same plane, then our polyhedron approximately looks like[br]ht[url=https://robertlovespi.net/2014/06/02/zonish-versions-of-the-rhombicosidodecahedron/]tps://robertlovespi.net/2014/06/02/zonish-versions-of-the-rhombicosidodecahedron/[/url][br][br] [b]Vertices:[/b] V =120.[br][b]Faces [/b]F =62. 20{3}+(30){8}+12{5}[br][b]Edges:[/b] E =180. 60+60+60- The order of the number of edges in this polyhedron according to their length.
Dual

Information: Images 1. Rhombicosidodecahedron from Biscribed Pentakis Dodecahedron for the case of trisection of its 1st-order segments