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Tag Archives: Mathematics
An Enneagonal Mandala
I made this years ago — in 2010 — and just found it today, on Facebook. That was two years before this blog started. I like finding such “lost works,” but it doesn’t happen often these days.
Posted in Art, Mandalas, Mathematics
Tagged Art, enneagon, geometric, geometrical, mandala, mandalas, mathematical, Mathematics, nonagon
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The Black Widow Tessellation
The black polygons in this radial tessellation are regular decagons. The red figures are hourglass-shaped equilateral hexagons, which remind me of the distinctive red markings found on many black widow spiders.
Posted in Mathematics
Tagged Mathematics, geometry, tessellation, decagon, hourglass, black widow
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Four Polyhedra Featuring Heptagons
Heptagons only appear infrequently in interesting polyhedra. I recently found a few that I like. To form the first of these solids, shown above, I started with the icosidodecahedron, dropped the symmetry of the model from icosahedral to tetrahedral, and … Continue reading
A Pyritohedral, Stellated Polyhedron, and Its Convex Hull
To make this polyhedron using Stella 4d (available here), I began with the dodecahedron, dropped the symmetry of the model from icosahedral to tetrahedral, and then stellated it thirteen times. This stellated polyhedron has pyritohedral symmetry, but this is easier … Continue reading
Posted in Mathematics
Tagged geometry, Mathematics, polyhedra, polyhedron, pyritohedral, stellated, stellation, symmetry
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A Chiral Polyhedron Made of Kites and Triangles, Along with Its Dual, Made of Triangles and Isosceles Trapezoids
To make this polyhedron using Stella 4d (available here), one starts with the icosahedron, drops the symmetry of the model down from icosahedral to tetrahedral, and then stellates it once. The result is a chiral solid featuring four triangular faces … Continue reading
Posted in Mathematics
Tagged chiral, geometry, isosceles, kite, Mathematics, polyhedra, polyhedron, trapezoid
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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
Posted in Mathematics
Tagged double, geometry, gyroelongated pentagonal pyramid, icosahedron, J11, Mathematics, polyhedra, polyhedron, stellated, stellation, zonohedra, zonohedron
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