Eleven Convex, Non-Chiral Polyhedra Featuring Cuboctahedral Symmetry

Posted on 23 January 2016 by RobertLovesPi

To enlarge any of these images, simply click on the ones you choose.

Symmetrohedra formed by prism-augmentation of the enneagonal near-miss THEN created convex hull THEN used TTMFR

regular tetrakaiicosagons and triangles and three types of trapezoid

6 reg 24-gons 8 irreg hexagons 24 each of two types of trapezoid 12 very narrow rectangles 72 faces in all

All of these images were created using Stella 4d: Polyhedron Navigator, available at http://www.software3d.com/Stella.php.

Sixteen Convex Polyhedra Featuring Icosidodecahedral Symmetry

Posted on 23 January 2016 by RobertLovesPi

To enlarge any single image, simply click on it.

Of the five polyhedra above, all appear to feature decagons. Upon close inspection, though, one of them actually features icosagons — with half their sides very short. Can you spot this polyhedron?

The next set of three polyhedra all feature pentadecagons.

That’s eight so far. Not enough!

Here are eight more, to round out the set of all sixteen, each of which I made using Stella 4d: Polyhedron Navigator. This program may be tried for free at http://www.software3d.com/Stella.php.

Six Convex Polyhedra Featuring Convex Dodecagons, Some of Which Are Regular

Posted on 23 January 2016 by RobertLovesPi

Individual images may be enlarged with a click. They were created using Stella 4d: Polyhedron Navigator, which may be tried for free at http://www.software3d.com/Stella.php.