Tessellation Featuring Kites and Six-Pointed Stars
Created using Stella 4d, software available at http://www.software3d.com/Stella.php.
I made this using Stella 4d, which you can find at http://www.software3d.com/Stella.php.
Here is the dual of the solid above, also.
These images were created with Stella 4d, which you can find at http://www.software3d.com/Stella.php.
Software credit: see http://www.software3d.com/Stella.php to learn more about the software (Stella 4d) I used to make this image. A free trial download is available.
In this polyhedron, the twelve rhombic faces are in the same position as the faces of a rhombic dodecahedron — but narrowed, so as to make room for the kites. As for the kites, there are 24 of them — in eight sets of three. These set-of-threes’ positions correspond to those of the faces of an octahedron.
Software credit: I made this with polyhedron-manipulation software called Stella 4d. If you wish to purchase it, or try the free trial download, here’s the site to visit:
This variant of the icosahedron has five kites meeting at each of its twelve vertices, forming what I call the twelve “kite-stars” of this polyhedron. Also, two kites meet at the midpoint of each of the icosahedron’s thirty edges. The emplacement of the kites changes the triangular faces of the icosahedron into equilateral, but non-equiangular, hexagons.
Software credit: see http://www.software3d.com/stella.php to try or buy Stella 4d, the software I used to create this image.