Unified constructions of the regular Heptagon, Triskaidecagon and Heptadecagon

2025/05/08 by Helmut Ruhland, Ruhland, Helmut · 1 voice
Mathematics · #11R32 #51M15 #FOS: Mathematics #History and Overview (math.HO) #math.HO

paper · pdf · doi:10.48550/arxiv.2505.05673

arxiv published 2025/05/08 · arxiv updated 2025/07/16

Abstract

Constructions of regular heptagon and triskaidecagon by trisection of an angle are well known. An elegant construction of the heptagon by S. Adlaj shows a 3-fold symmetry related to a Galois group. Based on the latter construction, in this article one more for the heptagon, two more for the triskaidecagon and three for heptadecagon are presented, all using angle trisection.

Discussions

• Helmut Ruhland: Unified constructions of the regular Heptagon and Triskaidecagon https://arxiv.org/abs/2505.05673 https://arxiv.org/pdf/2505.05673 https://arxiv.org/html/2505.05673 [bsky, 0 points, 1 comments]

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