Tag Archives: stellation

A Second Type of Double Icosahedron, and Related Polyhedra

After seeing my post about what I called the “double icosahedron,” which is two complete icosahedra joined at one common triangular face, my friend Tom Ruen brought my attention to a similar figure he likes. This second type of double icosahedron … Continue reading

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An Offspring of a Dodecahedron and a Tetrahedron

To make this polyhedron, I first changed the symmetry-type of a dodecahedron from icosahedral to tetrahedral, then stellated it twice. This was done using Stella 4d, a program you may try for free at http://www.software3d.com/Stella.php.

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The 43rd Stellation of the Snub Dodecahedron, and Related Polyhedra, Part One

If you stellate the snub dodecahedron 43 times, this is the result. The yellow faces are kites, not rhombi. Like the snub dodecahedron itself, this polyhedron is chiral. Here is the mirror-image of the polyhedron shown above. Any chiral polyhedron … Continue reading

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A Black-on-Black Polyhedron: The Final Stellation of the Icosahedron

I made this using Stella 4d: Polyhedron Navigator, which you may try for free right here.

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Selected Stellations of the Truncated Dodecahedron

This is the truncated dodecahedron. It is one of the Archimedean solids. This polyhedron has a long stellation-series, from which I selected several on aesthetic grounds. The figure immediately below is the truncated dodecahedron’s 16th stellation. Here is the 21st … Continue reading

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Some Tetrahedral Stellations of the Truncated Cube

I created these with Stella 4d, which you may try for free at this website. To make a given polyhedral stellation appear larger, simply click on it.

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Three Stellations of the Truncated Cube

The polyhedron above is the 12th stellation of the truncated cube. The one below is the 14th. The next one shown is the 18th and final stellation. If stellated again, the result is an ordinary truncated cube. These virtual models … Continue reading

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