I thought I would try to paint a migraine headache, and a few years ago, I did so, and painted this. I then fell asleep, and woke up, with, of course, a migraine.
Migraine
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Daily Archives: 3 June 2014
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The Hyperspace Analog of the Dodecahedron/Icosahedron Compound
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The dodecahedron and the icosahedron are dual to each other, and can be combined to make this well-known compound.
In hyperspace, the analog to the dodecahedron is the hyperdodecahedron, also known as the 120-cell, as well as the hecatonicosachoron. Its dual is the 600-cell, or hexacosichoron, made of 600 tetrahedral cells. The image at the top is the compound of these two polychora, rotating in hyperspace.
These images were made using Stella 4d, available at http://www.software3d.com/Stella.php.
The Hyperspace Analog of the Cube/Octahedron Compound
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The cube and the octahedron are dual to each other, and can be combined to make this well-known compound (below; can be enlarged with a click).
In hyperspace, the analog to the cube is the tesseract, also known the 8-cell, the octachoron, and the hypercube. Its dual is the 16-cell, or hexadecachoron, made of 16 tetrahedral cells. The image at the top is the compound of these two polychora, rotating in hyperspace.
These images were made using Stella 4d, available at http://www.software3d.com/Stella.php.
Two Polyhedra Based on the Icosahedron, the Dodecahedron, and the Rhombic Triacontahedron
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Both of these were made using Stella 4d: Polyhedron Navigator. It’s available at http://www.software3d.com/Stella.php.
If you want to enlarge this second image, simply click on it.
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