A Cube, Decorated with Icosagons and Their Diagonals

This icosagon, with its diagonals showing, first appeared here. I then used Stella 4d to make the cube. You can try Stella for yourself at this website.

A Regular Icosagon, With All Sides and Diagonals Shown

An icosagon is a twenty-sided polygon. Each segment-length was given its own color.

A Regular Icosagon, Split Into 180 Rhombi

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A Polyhedron Featuring Icosagons, Kites, and Triangles

12 icosagons

I made this using Stella 4d, which is available at http://www.software3d.com/Stella.php.

An Icosagon, with Its Diagonals

icosagon

Three Polyhedra, Each Featuring One Dozen Regular Icosagons

Icosagons are polygons with twenty sides, and do not appear in any well-known polyhedra. The first of these three regular-icosagon-based polyhedra has 122 faces.

122 faces including 12 regular icosagons

The second of these polyhedra, each of which bears an overall resemblance to a dodecahedron, has 132 faces.

132 faces including 12 regular icosagons

Finally, the third of these polyhedra has a total of 152 faces.

152 faces ncluding 12 regular icosagonsI used Stella 4d to make each of these virtual polyhedron models — and you may try this program for free at http://www.software3d.com/Stella.php.

Dodecahedral Polyhedron Featuring Regular Icosagons, Regular Hexagons, Rectangles, and Isosceles Trapezoids

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Polyhedron Featuring Regular Icosagons, Regular Hexagons, Rectangles, and Isosceles Trapezoids

Created with Stella 4d, software you can try and/or buy at http://www.software3d.com/Stella.php.

Cube-Based Polyhedron Featuring Regular Icosagons, Regular Hexagons, and Isosceles Trapezoids

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Polyhedron Featuring Regular Icosagons, Regular Hexagons, and Isosceles Trapezoids

Created with software you can try and/or buy at http://www.software3d.com.Stella.php.

Cube-Based Polyhedron Featuring Regular Icosagons, Equilateral Triangles, Isosceles Trapezoids, and Rectangles

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Polyhedron Featuring Regular Icosagons, Equilateral Triangles, Trapezoids, and Rectangles

Created with software you can try and/or buy at http://www.software3d.com.Stella.php.