A pretender to the title "canonical moebius strip"

Abstract

The Moebius Strip that results from identifying two opposite sides of a rectangle is embedded analytically and isometrically in Euclidean 3-space, as part of the rectifying developable of the algebraic curve given in paramatric form by x = sin t, y = (1-cos t)3, z = sin(1-cos t) or equivalently, by y2 + 6x2y-8y + x6 = x3y-z3 = 0. © 1990 by Pacific Journal of Mathematics.