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BEAUTIFUL MATH
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The edges of Thomas Hull’s “Hyperbolic Cube” trace out a Hamilton cycle on a cube. Credit: COURTESY OF T. HULL


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  • if you stack and glue bunches of these hyperbolic cubes in different ways you can get either lines or planes, or even chains and weaves of "fabrics". Now if instead of the cube that is shown, you cut the corners off each side of the cube to create a cube offest by 45 degrees. As it is, the Hyperbolic cube has two sides, like a coin that you can toss. If you took a soft coin in fact, and with your right thumb and index finger pulled the east west edges of the coin in the heads direction, and offset by 90 degrees took your other thumb and forefinger and pulled the other north south edges of the coin in the tails direction, you would create a hyperbolic "sphere"?
    opening opening
    Apr. 8, 2011 at 5:54am
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