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Ordinary hyperspheres and spherical curves

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Publication:2664120
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DOI10.1515/advgeom-2020-0031zbMath1461.52013arXiv1905.09639OpenAlexW3121622738MaRDI QIDQ2664120

Aaron Lin, Konrad J. Swanepoel

Publication date: 20 April 2021

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.09639


zbMATH Keywords

hypersphereDirac-Motzkin conjectureorchard problem


Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Spherical and hyperbolic convexity (52A55)




Cites Work

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  • On sets defining few ordinary lines
  • Lines, circles, planes and spheres
  • On the number of ordinary circles determined by \(n\) points
  • On the number of circles determined by \(n\) points in the Euclidean plane
  • On sets defining few ordinary circles
  • On sets defining few ordinary hyperplanes
  • On the number of circles determined byn points


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