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Tag Archives: kite
A Polyhedron Featuring 180 Kites as Faces, Plus Related Polyhedra
If one starts with the great rhombicosidodecahedron, then makes a compound of it, and its dual, and then forms the convex hull of that compound, this is the result: This polyhedron has 180 faces, all of them kites. What’s more, … Continue reading
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
Posted in Mathematics
Tagged chiral, chirality, geometry, kite, Mathematics, polyhedra, polyhedron, snub dodecahedron, stellated, stellating, stellation, symmetry, tetrahedral
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A KiteFaced 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
Posted in Mathematics
Tagged cube, geometry, kite, Mathematics, octahedron, polyhedra, polyhedron, quadrilateral, rhombic dodecahedron
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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 wellknown relationship between a geometric figure … Continue reading
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
Posted in Mathematics
Tagged geometry, kite, Mathematics, polyhedra, polyhedron, stromb, strombic, strombic hexacontahedron
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