RobertLovesPi.net

A Rotating Zonohedron

This is a zonohedrified pentagonal prism. It has ninety rhombic faces, and they are based on the vertices of that prism. I made it using Stella 4d, which you can buy, or try for free, at http://www.software3d.com/Stella.php.

A Modified Square Antiprism with Pentagons as Lateral Faces

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

An Enneahedron

Enneahedra are nine-faced polyhedra. This particular one has three square faces, and six kite faces. I made it from a triangular prism, using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.

A Compound of Two Square-Based Pyramids

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

Seven Polyhedra with Eightfold Dihedral Symmetry, Starting with the Octagonal Antiprism

Here’s an octagonal antiprism. Next, the dual of this antiprism: a trapezohedron. Its faces are sixteen kites. If you stellate this trapezohedron twice, you get a two-part compound. Now, the compound of the octagonal antiprism and its dual. The next … Continue reading →

A Quotation, from Horace Mann

Four Polyhedra, Each With Seven-Fold Dihedral Symmetry

First, the heptagonal antiprism. The rest of the polyhedra in this post were made from this antiprism, using the functions available in Stella 4d: Polyhedron Navigator, such as stellation and faceting. If you’d like to try this program yourself, you … Continue reading →

Mandala Ten

This mandala features ten rhombi, ten regular hexagons, ten golden triangles, and one ten-pointed star.

Two Views of a Paper Model of an Icosidodecahedron

I’m sure I’ll get back to virtual polyhedra soon enough, but, in the meantime, enjoy this icosidodecahedron made using the traditional Euclidean tools, plus scissors, card stock, and tape. No computers were used to make this polyhedron.

Two Views of a Paper Model of the Great Dodecahedron

The obtuse triangles here are golden gnomons, which are isosceles triangles with vertex angles of 108 degrees, as well as base-to-leg ratios which are golden. These triangles are facelets; the actual, much larger faces are the regular pentagons of which … Continue reading →