[size=85]A polyhedron is constructed whose V=32 vertices are the points of the trisection of the segments the same length 11th-order (g=11) 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]data:image/png;base64,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[/img][/size]
[size=85] [b]Biscribed Pentakis Dodecahedron[/b][br]Vertices: 32 (12[5] + 20[6])[br]Faces: 60 (isosceles triangles)[br]Edges: 90 (60 short + 30 long)[br]Dual Solid: [b][url=http://dmccooey.com/polyhedra/BiscribedTruncatedIcosahedron.html]Biscribed Truncated Icosahedron[/url][/b][br]Vertices: 60 (60[3])[br]Faces: 32 (12 regular pentagons + 20 ditrigons)[br]Edges: 90 (30 short + 60 long)[/size]
[b]The vertices of the last trisection of the segments of the original polyhedron are again its vertices![/b]