Compound of 5 Tetrahedra as d12

Design by clsn

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Printed in Alumide

Five tetrahedra fit neatly into the corners of a dodecahedron. See http://www.shapeways.com/model/121250/dodecahedron___5_tetrahed.html by LatexSpikes for a beautiful wirefram example. So, when rolling the compound, it'll always land on five points, like a dodecahedron, and so we can number it like a d12. There are actually two chiral forms of this shape, and this is one of them. Combining both yields another, more symmetrical shape.

cm: 2.358 w x 1.908 d x 2.242 h

in: 0.928 w x 0.751 d x 0.883 h

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clsn says:

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No, it's a different shape. It's five tetrahedra overlaid on each other... Here, you can see it better in http://mathworld.wolfram.com/Tetrahedron5-Compound.html and tell that it isn't the same as any of the Kepler-Poinsots. (BTW, my http://www.shapeways.com/model/147284/great_dodecahedron___d20.html is also a Kepler-Poinsot solid. You already have one.)

October 3, 2010, 1:57 pm

Kevin Cook says:

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Mark .. I cant tell ... but is this a Kepler-Poinsot Polygon? http://mathworld.wolfram.com/Kepler-PoinsotSolid.html http://www.dicecollector.com/MINT24_SHAPEWAYS_DIZINGOF_KEPLER_POINSOT_POLYGON_01.jpg

October 3, 2010, 12:47 pm