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Truncated Triacontahedron by TaffGoch Truncated Triacontahedron by TaffGoch
Truncated Triacontahedron by TaffGoch (print image)

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Here's a unique polyhedron, with which I've been experimenting It is a truncated medial rhombic triacontahedron

A triacontahedron has 30 faces A "medial" triacontahedron is a stellated polyhedron, with 30 rhombic faces that extend through the center of the object In a medial polyhedron, a face extends from one of the nodules, passing near (but not precisely through) the center, to an opposing nodule The "concave" edges closest to the center of the figure are considered "false" edges, as they are formed by the intersection of two intersecting "true" medial faces

A medial rhombic triacontahedron is stellated, having "pointy" vertices, at the outer extents These "pointy" extents have been truncated, to produce the outer-most pentagonal faces

While it, simply, looks like 12 clustered dodecahedra, the dodecahedral nodules are not regular, equilateral dodecahedra The nodules do, indeed, have equilateral edges, but all of the faces are not "regular" pentagons Only the outer-most pentagons are equilateral and regular All other pentagons are "squashed" a bit, producing different vertex angles (The vertex angles aren't all 108, as in a "regular" pentagon)

Modeled in SketchUp Rendered in Kerkythea
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:icontaffgoch:
TaffGoch Featured By Owner Jul 7, 2011
I've revised the deviation, to include a second, textured version of the polyhedron, for deviants who are having difficulty visualizing the geometry

-Taff
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:iconlyc:
lyc Featured By Owner Jul 6, 2011
fascinating object! :o the depth of field quality could be better though :sherlock:

is this object in the sketchup warehouse?
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:icontaffgoch:
TaffGoch Featured By Owner Jul 6, 2011
Perhaps, you're referring to the "granularity" of the blur.

I didn't run the render at high-quality, which would have softened the blur, since I intended to only present a quick render, to introduce other deviants to the polyhedron (which I haven't, myself, seen elsewhere)
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:icontaffgoch:
TaffGoch Featured By Owner Jul 6, 2011
Are you suggesting more blur, or less?

The Medial Rhombic Triacontahedron is, indeed, in the 3D Warehouse (but not the truncated version)

-Taff
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Submitted on
July 6, 2011
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