This polyhedron’s faces include twelve regular pentagons, twenty regular hexagons, and sixty elongated convex hexagons. I made it using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.
A 92-Faced Polyhedron
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Tag Archives: Mathematics
Tessellation Featuring Regular Dodecagons, Two Sizes of Squares, Trapezoids, Rhombi, and Convex Hexagons
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Tessellation Featuring Regular Decagons, Convex Hexagons, Kites, Trapezoids, and Four Types of Rhombi
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Two 242-Faced Polyhedra
A Polyhedron With 154 Faces, Twenty of Which Are Regular Heptagons
I made this using Stella 4d, which you may try for free at http://www.software3d.com/Stella.php.
A Variant of the Enneagonal Antiprism Featuring Eighteen Pentagons as Lateral Faces
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I made this using Stella 4d, which you can try for yourself, for free, at http://www.software3d.com/Stella.php.
A Tessellation Featuring Regular Octagons, Regular Heptagons, Convex Hexagons, Concave Octagons, and Isosceles Trapezoids
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A Tessellation Featuring Regular Octagons, Regular Enneagons, Convex Octagons, Concave Octagons, Isosceles Triangles, and Isosceles Trapezoids
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A Tessellation Featuring Dodecagrams
This tessellation may be viewed in two different ways.
The first one is to see it as consisting of regular {12/5} dodecagrams, in orange, yellow, green, blue, and violet; along with rhombi in red; and equilateral triangles in magenta.
The second way is to view it as made of violet, regular dodecagons; kites, of four different sizes and shapes, in blue, green, yellow, and orange; red rhombi; and equilateral, magenta triangles.
A Polyhedron Derived From the Rhombicosidodecahedron
To make this polyhedron, I started with the rhombicosidodecahedron, then applied the “morph duals by tilting to rectify” function in Stella 4d: Polyhedron Navigator — twice. If you’d like to try this program for yourself, there is a free trial download at http://www.software3d.com/Stella.php.
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