stellated | RobertLovesPi.net

Stellated Polyhedron Featuring Self-Intersecting Regular Decagons

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Stellated Polyhedron Featuring Self-Intersecting Regular Decagons

I created this using Stella 4d: Polyhedron Navigator, a program you can find athttp://www.software3d.com/Stella.php.

Two Versions of a Stellated Polyhedron with Icosidodecahedral Symmetry

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Two Versions of a Stellated Polyhedron with Icosidodecahedral Symmetry

The next image was produced by rendering all the blue faces above invisible, and then changing the color-scheme to “rainbow color mode.” For both of these stellated polyhedra, the convex hull would simply be an icosidodecahedron (not shown here).

These images were both created using Stella 4d, which you can try and/or buy at www.software3d.com/Stella.php.

Two Repeatedly-Stellated Polyhedral Compounds Which Are Dipolar

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Two Repeatedly-Stellated Polyhedral Compounds Which Are Dipoles

Both of these were created using Stella 4d, available at http://www.software3d.com/Stella.php. To enlarge the second image, simply click on it.

A Stellated Polyhedron

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A Stellated Polyhedron

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.

An Interesting Stellated Polyhedron

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An Interesting Stellated Polyhedron

This polyhedron resembles a cuboctahedron, more than any other familiar polyhedra — but cuboctahedra were not used, at all, in its construction. To make it, I started with the cube of eight truncated octahedra seen in the previous post, and then stellated that figure many times. (How many? Enough times that I lost count — that’s how many.)

Stella 4d was used for this, and you may try it for free at http://www.software3d.com/stella.php.