A Periodicity Problem in Plane Geometry

DOI10.2307/2322102zbMath0528.51009OpenAlexW4242924056MaRDI QIDQ3310499

Daniel B. Shapiro

Publication date: 1984

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2322102

zbMATH Keywords

euclidean triangleArgand-Gauss planefinite period

Mathematics Subject Classification ID

Euclidean geometries (general) and generalizations (51M05)

Related Items (6)

The ubiquitous ellipse ⋮ Convolution filters for polygons and the Petr-Douglas-Neumann theorem ⋮ How Bürgi computed the sines of all integer angles simultaneously in 1586 ⋮ Asymptotic behavior of the shape of planar polygons by linear flows ⋮ Limiting forms of iterated circular convolutions of planar polygons ⋮ From a random polygon in \(\mathbb R^m\) to an ellipse: a Fourier analysis of iterated circular convolutions

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