I created these with Stella 4d, which you may try for free at this website. To make a given polyhedral stellation appear larger, simply click on it.
Some Tetrahedral Stellations of the Truncated Cube
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Tag Archives: geometry
Twisted Polyhedral Compound
I used Stella 4d to make this. You may try this program for free at http://wwwsoftware3d.com/Stella.php.
A Polyhedron Made of Enneagons and Pentagons
This polyhedron has 20 enneagons and 12+60=72 pentagons (of two types) as faces. I made it using Stella 4d, which is available at http://www.software3d.com/Stella.php.
The Dodecagonal Duoprism
There are objects in hyperspace known as duoprisms, which have prismatic cells. This one’s cells are 24 dodecagonal prisms. It was made using Stella 4d, available here.
Polyhedron with 122 Faces
The faces of this polyhedron are 12 regular pentagons, 20 equilateral triangles, 30 rhombi, and 60 almost-square trapezoids. I created it with Stella 4d, which is available at this website.
Icosahedral Blue On Blue
Stella 4d was used to make this image, and you may try it for free by following this link.
Triacontahedron with Two Dozen Pentagonal Faces
Of the thirty faces of this polyhedron, only the yellow parallelograms are not pentagons. I used Stella 4d to make this; you may try it for free at http://www.software3d.com/Stella.php.
Three Stellations of the Truncated Cube
The polyhedron above is the 12th stellation of the truncated cube. The one below is the 14th.
The next one shown is the 18th and final stellation. If stellated again, the result is an ordinary truncated cube.
These virtual models were made using Stella 4d, software you may try for yourself at http://www.software3d.com/Stella.php.
A Space-Filling Lattice of Truncated Octahedra
Truncated octahedra are among the special polyhedra which can fill space without leaving any gaps. There are others, as well. This image was created using Stella 4d, software you may try, for yourself, right here. There is a free “try it before you buy it” download available.
An Unusual Tessellation
This tessellation appears, at first, to be regular (or “Archimedean,” by analogy with the Archimedean solids), for all of the polygons included are regular. However, it is not vertex-transitive, which keeps it from qualifying as a regular or Archimedean tessellation.
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