This software used to make this image, Stella 4d, may be tried for free at http://www.software3d.com/stella.php. The “breathing” effect is optional with this program, and is created by having the software use a tight fit-to-frame in each still pic that composes this .gif file.
We’re out of school today because of an ice storm, and I wanted to make a snowman. However, we got very little snow — mostly freezing rain and sleet fell — so I can’t make a traditional snowman. Also, it’s really cold outside. So, instead, I stayed inside, where it’s warm, and made a polyhedral snowman out of (from top to bottom) an icosahedron, an icosidodecahedron, and a rhombicosidodecahedron.
Software credit: see http://www.software3d.com/stella.php for a free trial download of Stella 4d, the software used to make this image.
The great icosahedron has 20 faces which are interpenetrating equilateral triangles, most of which are hidden in the interior of that polyhedron. The non-hidden, and therefore visible, parts are called “facelets” — and there are 180 of them: 120 scalene, and 60 isosceles.
In this variant of the great icosahedron, the sixty isosceles facelets are simply missing, which changes the shape of the remaining 120, still-scalene facelets. The color scheme is one which gives each facelet a different color — except for coplanar or parallel facelets, which are the same color, making them easier to spot.
Software credit: see http://www.software3d.com/stella.php — with a free trial download available there.
Software credit: see http://www.software3d.com/stella.php — free trial download available.
What exactly did I stellate to get this polyehdron? Well, it took a long time, was based on polyhedra previously posted tonight, and was complicated. To retrace my steps, and find the exact “recipe” for this polyhedron, would require work I am simply not in the mood to do.
I like it, and am therefore blogging it, for purely aesthetic reasons.
Software credit: see http://www.software3d.com/stella.php — free trial download available.
Software credit: see http://www.software3d.com/Stella.php — free trial download available.
Software credit: see http://www.software3d.com/stella.php — free trial download available.
Software credit: see http://www.software3d.com/stella.php — free trial download available.
It can sometimes be difficult to distinguish between kites and rhombi. In this case, the edges between rhombi which meet five at a vertex are slightly shorter than the other types of edges here, making the yellow faces here, of which there are sixty, kites. The blue equilateral triangles are twenty in number.
Software credit: visit http://www.software3d.com/stella.php for more information on the program used to make this rotating image. A free trial download is available.
Software credit: visit http://www.software3d.com/stella.php for more information on the program used to make this rotating image. A free trial download is available.
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