I stumbled across this while playing with Stella 4d, a program you may try for free at http://www.software3d.com/Stella.php.
Snub Cube Variant
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Tag Archives: geometry
Five, Six, Seven
The post immediately before this one features a polyhedron with faces which are all either pentagons, hexagons, or heptagons, and here’s another solid which meets the same criteria. I created it using Stella 4d, which you may try for free at http://www.software3d.com/Stella.php.
A Polyhedron with Pentagons, Hexagons, and Heptagons as Faces
This polyhedron has 60 heptagonal faces, 20 faces which are regular hexagons, and 72 pentagonal faces. I made it using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.
Two Non-convex Polyhedra with Cuboctahedral Symmetry
I made both of these while playing around with Stella 4d: Polyhedron Navigator, a program you can try out for free at http://www.software3d.com/Stella.php.
A Polyhedron with Isosceles Trapezoids and Regular Pentagons as Faces
I created this using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.
A Non-Convex, Pyritohedral Dodecahedron with Non-Convex Pentagonal Faces
I created this using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php. Starting with the Platonic dodecahedron, I dropped the symmetry of the model down from icosahedral to tetrahedral, then stellated it six times. I also put the resulting polyhedron into “rainbow color mode” before making this .gif image.
Here’s a net for this solid. To build it, you’ll need six copies of this net.
My 2019 Birthday Star
I was born 51 years ago today. To mark the occasion, here’s a 51-pointed star. It’s made of {17/7} heptadecagrams repeated 3 times, and with their edges extended as lines, in three different colors. This works because 51 = (17)(3).
A 50-Faced Symmetrohedron with Cuboctahedral Symmetry
In this symmetrohedron, the red, blue, and green faces are regular polygons. Only the yellow isosceles trapezoids are irregular.
A Symmetrohedron with Tetrahedral Symmetry
Symmetrohedra are symmetrical, convex polyhedra which contain many faces (not necessarily all) which are regular polygons. In this symmetrohedron, the hexagons and triangles are regular, while the quadrilaterals are isosceles trapezoids. I made this symmetrohedron using Stella 4d, a program you can try for free at this website.
A Compound of a Slightly-Truncated Icosahedron and the Rhombic Triacontahedron
Image
RobertLovesPi.net 