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- W53912917 abstract "We study wrappings of the unit sphere by a piece of paper (or, perhaps more accurately, a piece of foil). Such wrappings differ from standard origami because they require infinitely many infinitesimally small “folds” in order to transform the flat sheet into a positive-curvature sphere. Our goal is to find shapes that have small area even when expanded to shapes that tile the plane. We characterize the smallest square that wraps the unit sphere, show that a 0.1% smaller equilateral triangle suffices, and find a 20% smaller shape that still tiles the plane." @default.
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- W53912917 date "2007-01-01" @default.
- W53912917 modified "2023-09-28" @default.
- W53912917 title "Wrapping the mozartkugel" @default.
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