This polyhedron has sixty kite faces and thirty octagonal faces. I made it using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.
A 90-Faced Polyhedron
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Tag Archives: geometry
A Polyhedron Featuring Twenty Regular Octadecagons and Twelve Regular Decagons
I made this using Stella 4d, which you can try for free right here.
Regular Octadecagons As Faces of Symmetrohedra
I tried to make a symmetrohedron using regular octadecagons and regular decagons, but that combination forces the octadecagons to overlap, and that causes the would-be symmetrohedron to be non-convex.
I tried to augment these octadecagons with antiprisms, and then form the convex hull of the result. Here’s what I found:
I made these using Stella 4d, which you can try for free right here.
A Face-Based Zonohedrified Rhombic Enneacontahedron
The decagons and octagons in this zonohedron are regular. The octadecagons are, sadly, only equilateral. I made this using Stella 4d, which you can try for free, right here.
A Face-Based Zonish Icosidodecahedron
I made this using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.
A Cube, Encased by the Apothems of Its Faces
I made this using Stella 4d, which you can try for free at this website.
An Agglomeration of Triangles and Six Oblique Heptagonal Prisms
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I made this using Stella 4d, which you can try for free right here.
A Polyhedron Featuring a Dozen Regular Heptagons and a Whole Mess of Quadrilaterals
There are four different shapes of quadrilaterals here, but they have one thing in common: there are twelve of each of them. Add those 48 quads to the twelve regular heptagons, and that gives a total of 60 faces. I found this polyhedron while playing with the snub dodecahedron, using Stella 4d: Polyhedron Navigator, a program you can try for free right here.
In the image below, each of the four types of quadrilateral appears with its own color.
The Third Stellation of the Rhombic Dodecahedron
The model above shows the rhombic dodecahedron colored with one color per face, unless those faces are parallel. The one below shows this solid in “rainbow color mode.”
I made both of these using Stella 4d: Polyhedron Navigator. You can try this program for free at http://www.software3d.com/Stella.php.
A Vertex-Based Zonish Truncated Icosahedron
I made this using Stella 4d, which you can try for free right here.
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