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math.GT2002
Approximating Ropelength by Energy Functions
John M Sullivan
The ropelength of a knot is the quotient of its length by its thickness. We consider a family of energy functions for knots, depending on a power p, which approach ropelength as p…
math.GT1999
"The Optiverse" and other sphere eversions
John M. Sullivan
For decades, the sphere eversion has been a classic subject for mathematical visualization. The 1998 video "The Optiverse" shows geometrically optimal eversions created by minimizi…