"The Optiverse" and Other Sphere Eversions
John M. Sullivan (1999)
Visual Mathematics
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Displaying similar documents to “On a characterization of the Euclidean sphere”
"The Optiverse" and Other Sphere Eversions
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A classification of dihedral folding tessellations of the sphere whose prototiles are a kite and an equilateral or isosceles triangle was obtained in recent four papers by Avelino and Santos (2012, 2013, 2014 and 2015). In this paper we extend this classification, presenting all dihedral folding tessellations of the sphere by kites and scalene triangles in which the shorter side of the kite is equal to the longest side of the triangle. Within two possible cases of adjacency, only one...
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