Rotation and winding numbers for planar polygons and curves
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- by Branko Grünbaum and G. C. Shephard PDF
- Trans. Amer. Math. Soc. 322 (1990), 169-187 Request permission
Abstract:
The winding and rotation numbers for closed plane polygons and curves appear in various contexts. Here alternative definitions are presented, and relations between these characteristics and several other integer-valued functions are investigated. In particular, a point-dependent "tangent number" is defined, and it is shown that the sum of the winding and tangent numbers is independent of the point with respect to which they are taken, and equals the rotation number.References
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Additional Information
- © Copyright 1990 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 322 (1990), 169-187
- MSC: Primary 52A99; Secondary 26B15, 51M99, 57M99
- DOI: https://doi.org/10.1090/S0002-9947-1990-1024774-2
- MathSciNet review: 1024774