From Pentagon to Heptagon: A Discovery on the Generation of the Regular Heptagon from the Equilateral Triangle and Pentagon: Fid-Bau Portal

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From Pentagon to Heptagon: A Discovery on the Generation of the Regular Heptagon from the Equilateral Triangle and Pentagon

Reynolds, Mark A.

Abstract. Geometer Marcus the Marinite presents a construction for the heptagon that is within an incredibly small percent deviation from the ideal. The relationship between the incircle and excircle of the regular pentagon is the key to this construction, and their ratio is 2 : ϕ. In other words, the golden section plays the critical role in the establishment of this extremely closeto-ideal heptagon construction.

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From Pentagon to Heptagon: A Discovery on the Generation of the Regular Heptagon from the Equilateral Triangle and Pentagon

Reynolds, Mark A.

Abstract. Geometer Marcus the Marinite presents a construction for the heptagon that is within an incredibly small percent deviation from the ideal. The relationship between the incircle and excircle of the regular pentagon is the key to this construction, and their ratio is 2 : ϕ. In other words, the golden section plays the critical role in the establishment of this extremely closeto-ideal heptagon construction.

From Pentagon to Heptagon: A Discovery on the Generation of the Regular Heptagon from the Equilateral Triangle and Pentagon

Reynolds, Mark A.

Abstract. Geometer Marcus the Marinite presents a construction for the heptagon that is within an incredibly small percent deviation from the ideal. The relationship between the incircle and excircle of the regular pentagon is the key to this construction, and their ratio is 2 : ϕ. In other words, the golden section plays the critical role in the establishment of this extremely closeto-ideal heptagon construction.

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Title:

From Pentagon to Heptagon: A Discovery on the Generation of the Regular Heptagon from the Equilateral Triangle and Pentagon

Contributors:

Reynolds, Mark A. (author)

Published in:

Nexus Network Journal ; 3 ; 139-146

Publication date:

2001-09-01

Size:

8 pages

ISSN:

1522-4600 , 1590-5896

DOI:

https://doi.org/10.1007/s00004-001-0028-3

Type of media:

Article (Journal)

Type of material:

Electronic Resource

Language:

English

Keywords:

Mark Reynolds , vesica piscis , architecture and mathematics , constructing regular polygons with compass and straightedge , plane geometry , golden secion , regular heptagon Mathematics , Mathematics, general , History and Philosophical Foundations of Physics , Popular Science, general , History, general

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