More Starry Polyhedra

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More Starry Polyhedra

These were all derived in various ways from the polyhedra seen in the last two posts. The rest are smaller at first, but each can be enlarged with a single click of your mouse. Each of them has icosidodecahedral symmetry.

Augmented Convex hullstellated Convex hullstellated Convex hull 2Astellated Convex hull 3stellation of mod of Compound of enantiomorphic pairstellation of mod of Compound of enantiomorphic pair 2stellation of mod of Compound of enantiomorphic pair 3

I used Stella 4d to make these images, and you can find that program at http://www.software3d.com/Stella.php.

Starry Dual Polyhedron

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Starry Dual Polyhedron

This is the dual of the polyhedron seen as the second image in the last post on this blog. If colored differently, so that only parallel faces have the same color, it looks like this (click to enlarge):

Augmented Convex hull

I used Stella 4d to make these images, and you can find that program at http://www.software3d.com/Stella.php.

Six Pairs of Parallel Decagons

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Six Pairs of Parallel Decagons

Each pair is a different color. Because these decagons intersect in space, but do not meet at edges, they do not form a true polyhedron. They are merely a symmetrical configuration of twelve decagons in space, surrounding a central point.

I made this out a “true polyhedron” by hiding all the other faces from view. Before the hiding and recoloring of faces, this looked this way (you can click on it to enlarge it):

Augmented Convex hull

I used Stella 4d to make these images, and you can find that program at http://www.software3d.com/Stella.php.

A Gallery of Twenty-One Polyhedra with Icosidodecahedral Symmetry

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Multiple Variants of the Icosidodecahedron

Click on the smaller pictures, if you wish to enlarge them, one at a time.

convex hull of prismaugmented RTCConvex hull of prismaugmented strombic hexacontahedronConvex hull of reaugmented convex hull of augmented RTCConvex hull qConvex hull z dualConvex hull z

Those last two were duals of each other. The next two are as well.

300-faced dual of 362-faced expanded snub dodecahedron convex hull augmented with 3x prisms362-faced expanded snub dodecahedron convex hull augmented with 3x prismsDual of Convex hullID variant

These next two are duals, as are the pair that follows them.

variant on the SSDdual of variant of SSDpolyhedron xpolyhedron x dual

regularized convex hull of prism-augmented RTCtwisted Convex hullStellated rainbow thingConvex hull

I’ll finish with one more dual pair.

UnnamedUnnamed

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