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36 Mobius strips (a circle strip with a half twist, which gives it one side, one edge), first lying centered in the XY plane, then rotated 180 degrees around the Y axis in 36 increments, each offset in the X axis, and rotated 360 degrees around the Z axis in 36 increments. This makes it a kind of mobius strip of a mobius strip. Programmed in Mathematica, this was created originally, with different software, by Joachim Baldwin, who explained it to me (see his Shapeways shop:model Mobius Nautilus if you wish to purchase one). This model has 36 strips, like Joachim's Nautilus, and is most similar model to his that I've made.