Iteration of involutes of constant width curves in the Minkowski plane
نویسندگان
چکیده
منابع مشابه
Involutes of Polygons of Constant Width in Minkowski Planes
Consider a convex polygon P in the plane, and denote by U a homothetical copy of the vector sum of P and −P . Then the polygon U , as unit ball, induces a norm such that, with respect to this norm, P has constant Minkowskian width. We define notions like Minkowskian curvature, evolutes and involutes for polygons of constant U -width, and we prove that many properties of the smooth case, which i...
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ژورنال
عنوان ژورنال: Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry
سال: 2014
ISSN: 0138-4821,2191-0383
DOI: 10.1007/s13366-014-0199-1