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Diameter and circumradius of reduced spherical polygons

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Abstract

In this paper, we show that the reduced spherical regular polygons of any fixed thickness have the minimal diameters and minimal circumradii among all reduced spherical polygons of the same thickness.

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Acknowledgements

The authors are very grateful to the referees for many helpful comments.

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Authors and Affiliations

  1. Department of Mathematics, Suzhou University of Science and Technology, Suzhou, 215009, China

    Qiuyue Chen, Peiwen Hou & Hailin Jin

Authors
  1. Qiuyue Chen
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  2. Peiwen Hou
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  3. Hailin Jin
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Correspondence to Hailin Jin.

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Project supported by National Nature Science Foundation of China No. 12071334 and No. 12071277.

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Chen, Q., Hou, P. & Jin, H. Diameter and circumradius of reduced spherical polygons. Beitr Algebra Geom (2023). https://doi.org/10.1007/s13366-023-00727-6

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  • DOI: https://doi.org/10.1007/s13366-023-00727-6

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