This is the first stellation of the snub cube, one of the Archimedean solids. I made this image using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.
A Thirty-Faced Polyhedron Made of Six Squares and 24 Kites
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Tag Archives: polyhedra
A 72-Faced Polyhedron Made of a Dozen Regular Pentagons and Sixty Kites
This polyhedron is the first stellation of the snub dodecahedron, which is one of the Archimedean solids. I made this with Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.
A Faceting of the Icosidodecahedron, in Purple, Pink, and Blue
I made this using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.
Three Polyhedra Which Each Contain Four Regular Dodecagonal Faces
I stumbled upon these while playing with tetrahedral-symmetry alterations of a great rhombicuboctahedron, using Stella 4d. You can try this program for free at http://www.software3d.com/Stella.php.
A Symmetrohedron Featuring Twelve Regular Pentadecagons and Sixty Kites
I made this using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.
A 72-Faced Faceted Rhombicosidodecahedron
Twelve of the faces of this polyhedron are star pentagons, and they are easy to spot. The other sixty faces are isosceles trapezoids, and they’re harder to find because parts of them are hidden inside in the solid. The image below shows where these trapezoids can be found.
I made this using Stella 4d: Polyhedron Navigator, a program you can try for free at http://www.software3d.com/Stella.php.
Expanding the Rhombic Octagonoid, Using Equilateral Triangles
I first named the rhombic octagonoid, a ninety-faced zonohedron, right here. I’ve added a new twist to it now, though, and that is to expand this polyhedron using twenty equilateral triangles. This causes the octagons of the rhombic octagonoid to become decagons. This new solid has 110 faces, and is not a zonohedron, although it is a “zonish” polyhedron. The only faces it has which are not zonogons are the triangles.
I built this new polyhedron with Zome. If you’d like to try out Zome for yourself, the website to visit is at http://www.zometool.com.
24 Kites in One Polyhedron
I made this by stellating a triakis octahedron multiple times, using Stella 4d, which you can try for yourself at http://www.software3d.com/Stella.php.
Two Tetstells of the Dodecahedron
To “tetstell” a polyhedron (and yes, I just made that word up) is to drop its symmetry from either octahedral or icosahedral down to tetrahedral, and then stellate it. Here’s an example: the second tetstell of the dodecahedron.
Here’s another one: the eighth tetstell of the dodecahedron.
I made these using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.
A 200-Faced Polyhedron Featuring Twenty Regular Enneagons
In addition to the regular enneagons, this polyhedron’s faces include sixty irregular hexagons, as well as sixty each of two different types of irregular pentagon. I made it using Stella 4d, which you can try for free at this website.
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