Vol. 143, No. 1, 1990

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A pretender to the title “canonical Moebius strip”

Gideon Schwarz

Vol. 143 (1990), No. 1, 195–200
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 = sint,  y = (1− cost)3, z = sin(1− cost)

or equivalently, by

y2 + 6x2y− 8y+ x6 = x3y− z3 = 0.

Mathematical Subject Classification 2000
Primary: 53A05
Milestones
Received: 3 June 1988
Published: 1 May 1990
Authors
Gideon Schwarz