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Monthly Archives: June 2016
A Tetrahedral Exploration of the Icosahedron
Mathematicians have discovered more than one set of rules for polyhedral stellation. The software I use for rapidly manipulating polyhedra (Stella 4d, available here, including as a free trial download) lets the user choose between different sets of stellation criteria, … Continue reading
Posted in Mathematics
Tagged cuboctahedral, geometry, icosahedral, icosahedron, icosidodecahedral, Mathematics, octahedral, polyhedra, polyhedral, polyhedron, pyritohedral, solid, stellation, symmetry, tetrahedral
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Variations of the Snub Dodecahedron
To make the first of these variations, above, I augmented each triangular face of a snub dodecahedron with an antiprism 2.618 times as tall as the triangles’ edge length, and then took the convex hull of the result. The other … Continue reading
Posted in Mathematics
Tagged geometry, Mathematics, polyhedra, polyhedron, snub dodecahedron, solid, variant, variation
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“What’s Your Favorite Color?”
It’s a mystery to me why this happens, but the parallels between different conversations which start with this question are simply amazing. First, I don’t get asked this question unless talking to a teenager . . . and then, nearly … Continue reading
Fractiles’ Mandala, Based on Angles of Pi/7 Radians
Although this was based on something I constructed using the Fractiles7 magnetic tiling toy, I did not have enough magnetic pieces to finish this. The idea was, therefore, converted into a (nonEuclidean) construction using Geometer’s Sketchpad, and then refined using … Continue reading
Posted in Art, Mandalas, Mathematics
Tagged 14, 7, Art, fractiles, fractiles7, Geometer's, geometric, geometrical, geometry, mandala, mathematical, Mathematics, pi/7, radial, radian, rhombi, rhombus, Sketchpad, tessellation, tiling
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