In the image above, the faces of this faceted truncated octahedron are colored by face type. In the one below, the faces are colored by number of sides: blue for triangles, red for quadrilaterals, and yellow for hexagons.
I made these using Stella 4d, which you can try for free at this website.
The faceted snub cube shown above is colored by face type. The one below has faces colored by number of sides, with red triangles and yellow quadrilaterals.
Here’s the dual of this particular faceting, shown in “rainbow color mode.”
I made these virtual polyhedron models using Stella 4d, which you can try for free right here.
In the first image of this faceted polyhedron shown, above, the faces are colored by face type. In the second image, the faces are colored by number of sides. The red faces are triangles, the yellow faces are quadrilaterals, and the blue faces are {10/4} polygons.
The third image, below, shows this faceted polyhedron in “rainbow colored mode.” I made these images using Stella 4d, which you can try for free at this website.
In this first image, the faces are colored by face type.
The second image has the faces colored by number of sides: three (red), four (yellow), and six (blue).
I made these images using Stella 4d, which you can try for free at http://software3d.com/Stella.php.
Twelve of the faces of this polyhedron are star pentagons, and they are easy to spot. The other sixty faces are isosceles trapezoids, and they’re harder to find because parts of them are hidden inside in the solid. The image below shows where these trapezoids can be found.
I made this using Stella 4d: Polyhedron Navigator, a program you can try for free at http://www.software3d.com/Stella.php.
I made this by faceting a great rhombicosidodecahedron, using Stella 4d: Polyhedron Navigator. You can try this program for free at http://www.software3d.com/Stella.php.
This polyhedron has three face types. The blue triangles and the red star pentagons are easy to see, but it’s more challenging to see the yellow golden rectangles, since they are only partially visible. One of these golden rectangles is highlighted in the still image below, to make it easier to spot them.
I created these virtual models using Stella 4d: Polyhedron Navigator. This program may be tried out for free at http://www.software3d.com/Stella.php.
This was the initial image that Stella 4d (free trial here) gave me when I first created this faceting. Every face type — and there are many — has a different color in this image.
It’s a little easier on the eyes to see this faceting if the face types are grouped into just three colors, as seen below.
The polyhedron above is a faceted pentagonal icositetrahedron. The unfaceted, normal pentagonal icositetrahedron is the dual of the snub cube.
The solid below is a faceted pentagonal hexecontahedron, which, in unfaceted form, is the dual of the snub dodecahedron.
I made both of these models with Stella 4d, a program you may try for free at http://www.software3d.com/Stella.php.
The faces of this polyhedron are twelve yellow regular star pentagons, twenty blue equilateral triangles, and thirty golden rectangles, shown in red. I used Stella 4d to make this, and you can try this program for free, at http://www.software3d.com/Stella.php.
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