The golden rule: do unto others as you would have them do unto your icosahedron.
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Nice...and there is an element of induction, in there as well. The two intersection planes, by itself give 2 sets of triangles. From both sides. The moment you add the 3rd plane, it *has* to look the same from all sides.
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For some reason this makes me curious about a 3D rendering of The Phantom Tollbooth
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Where did you find this
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Icosahedra / Icosahedrons keep reminding us of the universal connectedness of the information, differently put by
@TheTedNelson: Everything is deeply intertwingled.#GeometricWisdom#DymaxionMappic.twitter.com/8yKAGy5pyy
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Where did you find this? Is there more there?
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Somebody has been watching bucky boy!!
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@paulg you could tell them about prince ruperts cube shadow theorem https://en.wikipedia.org/wiki/Prince_Rupert%27s_cube … The area of a unit cubes shadow is equal to the vertical height difference of the points. What's cool is that you can cut a hole out of a cube and pass a large cube through it..Thanks. Twitter will use this to make your timeline better. UndoUndo
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Even better: if you replace the long edges of the rectangles with struts (ignore short edges), you get a tensegrity structure!
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