This was a normal symmetrohedron, until I augmented its trapezoidal faces with pyramids. I did this using Stella 4d: Polyhedron Navigator, which you can try out for free at http://www.software3d.com/Stella.php.
A Spiky Symmetrohedron
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Tag Archives: Mathematics
A Zonohedron Based on the Octahedron
To make this using Stella 4d (available here), I started with an octahedron, and then performed a face-based zonohedrification on it — six times.
A 56-Faced Polyhedron Featuring Eight Regular Heptagons
I made this using Stella 4d, which you can try for free right here.
A Zonish Rhombicosidodecahedron
This zonish polyhedron is based on the vertices of a rhombicosidodecahedron. I made it using Stella 4d, which you can try here.
A Zonish Dodecahedron
This zonish polyhedron has 162 faces, and is based on the faces and the vertices of a dodecahedron. I made it using Stella 4d, which you can try for free at this website.
A Polyhedron With Tetrahedral Symmetry, a Dozen Regular Heptagons, and a Whole Mess of Triangles
I made this using Stella 4d, which you can try for free at this website.
Tessellation Featuring Squares, Regular Pentagons, Rhombi, and Equilateral, Concave Hexadecagons
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A Zome Construction, Mostly of Rhombi
The yellow figure is a rhombic dodecahedron, and the red pieces form six rhombi which intersect the faces of the yellow figure. There are also hypershort red struts connecting the red rhombi to each other. It’s not exactly a polyhedron, but I had fun making it. I built it using Zome, which you can buy for yourself at http://www.zometool.com.
Obtuse Isosceles Triangle Tessellation
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Kite Tessellation
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