MathDB2 problems
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The constant-angle circle-family characterization of Dupin cyclides
A surface has two circle families that intersect at a constant angle when each family consists of circles on the surface and the angle of intersection is the same wherever correspo…
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The three-circle-family characterization of Darboux cyclides
A surface carrying three families of circles is a surface with three one-parameter families of circular curves. The three-circle-family conjecture. Any surface which carries three…