A new construction of curves of constant width
We show that a curve of constant width in the Euclidean plane can be continuously constructed from a Reuleaux triangle while preserving the property of having constant width in all intermediate steps of this procedure. Also we discuss some consequences of this constructive approach. (C) 2008 Elsevier B.V. All rights reserved.
reuleaux triangle (geometric) construction convex figure (curve of) constant width measure of asymmetry reuleaux polygon rotor translation cover