Tag Archives: kite

Flying Kites into the Snub Dodecahedron, a Dozen at a Time, Using Tetrahedral Stellation

I’ve been shown, by the program’s creator, a function of Stella 4d which was previously unknown to me, and I’ve been having fun playing around with it. It works like this: you start with a polyhedron with, say, icosidodecahedral symmetry, … Continue reading

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A Kite-Faced Polyhedron Based on the Cube, Octahedron, and Rhombic Dodecahedron

Above is the entire figure, showing all three set of kites. The yellow set below, though, lie along the edges of a rhombic dodecahedron. The next set, the blue kites, lie along the edges of an octahedron. Finally, the red … Continue reading

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Polygons Related to the Golden Ratio, and Associated Figures in Geometry, Part 2: Quadrilaterals

The golden ratio, also known as φ, has a value of [1 + sqrt(5)]/2, or ~1.61803. It is associated with a great many figures in geometry, and also appears in numerous other contexts. The most well-known relationship between a geometric figure … Continue reading

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Two Different Sets of Two Dozen Flying Kites

Because (6)(4) = 24 = (8)(3), that’s why. I used Stella 4d to make each of these. A free trial download of this software is available here.

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A Strombic Hexacontahedron, Augmented with Sixty More Strombic Hexacontahedra

The faces of the strombic hexacontahedron, the dual of the rhombicosidodecahedron, are kites. I have no explanation for why the word “strombic” applies to it — is a kite a “stromb?” I’ve already googled it, followed many links, etc., and … Continue reading

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Tessellation Featuring Kites and Six-Pointed Stars #2

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Tessellation Featuring Kites and Six-Pointed Stars

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