I made this faceted truncated octahedron using Stella 4d, which you can try right here. It has twenty faces: six large squares, six small squares, and eight {6/2} hexagons.
A Faceted Truncated Octahedron
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Tag Archives: polyhedron
A Compound of the Small and Great Stellated Dodecahedra
I made these compounds using Stella 4d, which you can try for free at http;//www.software3d.com/Stella.php.
A Truncation of the Small Stellated Dodecahedron
I made this with Stella 4d: Polyhedron Navigator, a program you can try for free at http://www.software3d.com/Stella.php.
A Non-Convex Polyhedral Cluster Featuring Regular Heptagons, With a Puzzle
I stumbled upon this while playing with Stella 4d: Polyhedron Navigator, a program you can try for free at https://www.software3d.com/Stella.php. It’s difficult to herd regular heptagons.
There’s an obvious question raised by this image: what are the components of the polyhedral cluster, especially the one with heptagonal faces? Comments on this would be appreciated, especially ones with images of the components.
One Compound of Pyramids, and Another of Dipyramids
The compound above has eight components, each of which is a tall, triangular, and off-center pyramid. The one below has three co-centered components: elongated square dipyramids.
I made these using Stella 4d: Polyhedron Navigatgor, which you can try for free at http://www.software3d.com/Stella.php.
A Symmetrohedron With 62 Faces
In this solid, the quadrilaterals are all squares, and the red triangles are regular. The only irregular polygons are the dark blue triangles, which are obtuse and isosceles. I made this using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.
An Icosahedron, Augmented by Inverted Triangular Cupolae
I made this using Stella 4d: Polyhedron Navigator. For more about this software, including a free trial download of Stella, I refer you to http://www.software3d.com/Stella.php.
An Icosahedron, Built With Rhombic Triacontahedra and Elongated Prisms
I made these two versions of the icosahedron, using rhombic triacontahedra and elongated prisms, and a program called Stella 4d. You can try this program yourself, for free, at http://www.software3d.com/Stella.php.
Craters on the Near Side of the Moon, on the Faces of a Rhombic Enneacontahedron
Moon image from https://www.usgs.gov/news/national-news-release/usgs-releases-first-ever-comprehensive-geologic-map-moon. Polyhedron created using Stella 4d: Polyhedron Navigator, which you can try for free at this website.
The Five Platonic Solids, Each Surrounded by Rhombicosidodecahedra
First, the tetrahedron.
Next, the cube, with each square face augmented by a single rhombicosidodecahedron.
Next, this same operation is performed on an octahedron.
Next, the dodecahedron.
Finally, the last of the set, centered on an icosahedron. This one is my favorite.
I made these five models using Stella 4d: Polyhedron Navigator. You can try this program for free at http://www.software3d.com/Stella.php.
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