Two Facetings of the Truncated Dodecahedron

Posted on 29 November 2017 by RobertLovesPi

I made these using Stella 4d, a program you can try for free at this website.

A Faceted Truncated Icosahedron

Posted on 27 November 2017 by RobertLovesPi

Faceted truncated icosahedron

This is one of many possible facetings of the truncated icosahedron. I made it using Stella 4d, which you can try for yourself at this website: http://www.software3d.com/Stella.php.

A Polyhedron Featuring Hexagons, Pentagons, Triangles, and Lots of Quadrilaterals

Posted on 11 November 2017 by RobertLovesPi

3456

I made this polyhedron using Stella 4d, a program you can try for yourself at http://www.software3d.com/Stella.php.

A Polyhedron Featuring Icosagons, Kites, and Triangles

Posted on 5 November 2017 by RobertLovesPi

12 icosagons

I made this using Stella 4d, which is available at http://www.software3d.com/Stella.php.

Seven Rainbow Polyhedra

Posted on 22 October 2017 by RobertLovesPi

These were made using Stella 4d, which may be tried for free at http://www.software3d.com/Stella.php.

Two Polyhedra Featuring Regular Pentadecagons

Posted on 21 October 2017 by RobertLovesPi

42.5 vertex angles in yellow triangles

This polyhedron has 92 faces: twelve regular pentadecagons, twenty equilateral triangles, and sixty isosceles triangles, each with a vertex angle of ~42.5°. Its first stellation appears below.

yellow triangle vertex angle is 42p5 degrees stellation 1

Both models were created using Stella 4d, software you can try for yourself at http://www.software3d.com/Stella.php.

Four Polyhedra Featuring Enneagons

Posted on 17 October 2017 by RobertLovesPi

enneagons and octagons

enneagons and kites

octagons enneagons bowtie trapezoids

Dual of Convex hull

Enneagons are also called nonagons; they are polygons with nine sides. I used Stella 4d to make these four rotating polyhedra, and you may try this program for yourself at http://www.software3d.com/Stella.php.

The C-320 Fullerene Polyhedron

Posted on 7 October 2017 by RobertLovesPi

The duals of the geodesic domes are polyhedra with hexagonal and pentagonal faces. This particular one has 320 vertices, with those vertices representing carbon atoms in the molecular version of this solid. Here is C₃₂₀ as a polyhedron.

The next image shows this molecule as a ball-and-stick model.

Finally, here it is as a space-filling molecular model.

All three images were created with Stella 4d: Polyhedron Navigator. This is the page to visit if you want to try Stella for yourself: http://www.software3d.com/Stella.php.

A Faceting of the Rhombcuboctahedron

Posted on 30 September 2017 by RobertLovesPi

Faceted Rhombicubocta

This particular faceting of the rhombcuboctahedron can also be viewed as a cluster of stella octangulae. I made it using Stella 4d, polyhedron-manipulating software you can try, for yourself, at http://www.software3d.com/Stella.php.