Two Different Sets of Two Dozen Flying Kites

Posted on 23 September 2014 by RobertLovesPi

Because (6)(4) = 24 = (8)(3), that’s why.

I used Stella 4d to make each of these. A free trial download of this software is available here.

A Strombic Hexacontahedron, Augmented with Sixty More Strombic Hexacontahedra

Posted on 15 July 2014 by RobertLovesPi

The faces of the strombic hexacontahedron, the dual of the rhombicosidodecahedron, are kites. I have no explanation for why the word “strombic” applies to it — is a kite a “stromb?”

I’ve already googled it, followed many links, etc., and it’s still as puzzling to me as it was the first time I read it. If you have a solution to this puzzle, please post it in a comment.

Software used to create this image: Stella 4d: Polyhedron Navigator, available at www.software3d.com/Stella.php.

Tessellation Featuring Kites and Six-Pointed Stars #2

Tessellation Featuring Kites and Six-Pointed Stars

Twenty Rotating Triskelions, Made of Kites

Image

Twenty Rotating Triskelions, Made of Kites

Created using Stella 4d, software available at http://www.software3d.com/Stella.php.

A Polyhedron with Thirty Elongated Octagons and Sixty Kites As Faces

Image

A Polyhedron with Thirty Elongated Octagons and Sixty Kites As Faces

I made this using Stella 4d, which you can find at http://www.software3d.com/Stella.php.

A Polyhedron Made of Kites and Regular Nonagons, Along with Its Dual

Image

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.

Sixty Flying Kites

Image

Sixty Flying Kites

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.

A Polyhedron Made of Kites and Rhombi

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:

http://www.software3d.com/Stella.php