Symmetrohedra are polyhedra with some form of polyhedral symmetry, and many (not necessarily all) regular faces. The first two symmetrohedra here each include four regular enneagons as faces.
The next two symmetrohedra each include four regular dodecagons as faces.
All four of these were made using Stella 4d, which you can try out for free at http://www.software3d.com/Stella.php.
Symmetrohedra are polyhedra which have many (but not all) faces regular, and have some form of polyhedral symmetry. Here’s one that has regular decagons and triangles, along with trapezoids appearing in “bowtie” pairs.
The next one has regular dodecagons and decagons, along with trapezoids which closely resemble triangles, and some very thin rectangles.
Finally, in the last of these three, the regular faces are dodecagons and pentagons. For the irregular faces, there are two different types of trapezoids.
All three of these were made with Stella 4d, which you can try for free right here.
You can make these images larger by clicking on them.
These were all created using Stella 4d, which you can try for free right here.
I made this using Stella 4d, which you can try for free right here.
I made this using Stella4d, which you can try for free right here.
I made this polyhedron using Stella 4d,which you can try for free right here.
I used three programs to make this: Stella 4d, Geometer’s Sketchpad, and MS-Paint. You can try Stella for free at http://www.software3d.com/Stella.php.
There’s one icosidodecahedron at the center of this cluster, with more icosidodecahedra attached to each of the central figure’s 32 faces. In the first version, the coloring is simply based as the number of sides for each face.
In the next picture, the coloring is by face-type (position in the overall cluster).
The last image shown here has the cluster in “rainbow color mode.”
I used Stella 4d to make these — a program you may try for free right here.
This polyhedron’s square faces are hidden from view, so that you can see both the front and back of the solid as it rotates. I made this using Stella 4d: Polyhedron Navigator, which you can try for yourself, free, at http://www.software3d.com/Stella.php.
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