Daily Archives: 13 April 2014

I Started with Eight.

Eight led to this. If you think about eight long enough, you will understand.

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News Flash: Big Snake on the Loose in Texas

This just in from Longview, Texas — a five-meter (~16 foot) Burmese Python is on the loose. If you see it, do not approach. Retreat and dial 911. No kidding. Also: learn the metric system.

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Circumslices

Regions between close-packed circles of equal radius resemble triangles, but with 60 degree arcs replacing the sides. As these regions are the only things left of a plane after all such circles are sliced out, and they each are outside … Continue reading

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A Rotating Rhombic Dodecahedron with Rotating Tessellations On Its Faces

Several recent posts here have been of tessellations I have made using Geometer’s Sketchpad and MS-Paint. To create this rotating polyhedron, I selected one of these tessellations, and projected it onto each face of a rhombic dodecahedron, using another program … Continue reading

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Rotating Rhombic Triacontahedron with Tessellated Faces

The last several posts here have been of tessellations I have made using Geometer’s Sketchpad and MS-Paint. To create this rotating polyhedron, I selected one of these tessellations (the one in the last post), and projected it onto each face … Continue reading

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Tessellation Using Regular Hexacontakaihexagons, Regular Dodecagons, and Two Different (and Unusual) Concave, Equilateral Polygons

Hexacontakaihexagons have 36 sides, and dodecagons, of course, have twelve. When a regular hexacontakaihexagon is surrounded by twelve regular dodecagons, in the manner shown here, adjacent dodecagons almost, but not quite, meet at vertices. The gaps between these near-concurrent vertices … Continue reading

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Tessellation Using Regular Triacontakaihexagons, Equiangular Hexagons, Isosceles Triangles, and Isosceles Trapezoids

The equiangular hexagons are very nearly regular, with only tiny deviations — probably not visible here — “from equilateralness.”

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