Tag Archives: stellation

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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A Decorated Pentagonal Hexacontahedron, with Three of Its Stellations

This is a pentagonal hexacontahedron, the dual of the snub dodecahedron. It’s decorated with mandalas of the the type I blogged here, two posts ago. The mandalas do interesting things when this polyhedron is stellated, as you can see below. … Continue reading

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Building a “Polyhedral Porcupine”

This is the icosahedron, followed by its first stellation. The first stellation of the icosahedron can be stellated again, and again, and so on. The “final stellation” of the icosahedron is the one right before the stellation-series “wraps around,” back … Continue reading

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