Monthly Archives: June 2016

A Radial Tessellation, on the Topic of the Difficulty in Tessellating with Regular Pentagons

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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

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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

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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

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Fractiles’ Mandala, Based on Angles of Pi/7 Radians

Although this was based on something I constructed using the Fractiles-7 magnetic tiling toy, I did not have enough magnetic pieces to finish this. The idea was, therefore, converted into a (non-Euclidean) construction using Geometer’s Sketchpad, and then refined using … Continue reading

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JMS, On Our Eagerness to Shout

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