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

Fachinformationsdienst BAUdigital

Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik

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.

Zugriff

Seitennavigation

Dokumentinformationen

Ähnliche Titel

Exportieren, teilen und zitieren

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.

Zugriff

Seitennavigation

Dokumentinformationen

Ähnliche Titel

Exportieren, teilen und zitieren

Dokumentinformationen

Titel:

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

Beteiligte:

Reynolds, Mark A. (Autor:in)

Erschienen in:

Nexus Network Journal ; 3 ; 139-146

Erscheinungsdatum:

01.09.2001

Format / Umfang:

8 pages

ISSN:

1522-4600 , 1590-5896

DOI:

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

Medientyp:

Aufsatz (Zeitschrift)

Format:

Elektronische Ressource

Sprache:

Englisch

Schlagwörter:

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

Ähnliche Titel

Numerical modeling of eigenmodes and eigenfrequencies of hetero-junction carbon nanotubes with pentagon–heptagon pair defects

Imani Yengejeh, Sadegh / Akbar Zadeh, Mojtaba / Öchsner, Andreas | British Library Online Contents | 2014

Numerical modeling of eigenmodes and eigenfrequencies of hetero-junction carbon nanotubes with pentagon–heptagon pair defects

Imani Yengejeh, S. / Akbar Zadeh, M. / Öchsner, A. | British Library Online Contents | 2014

Local equilibrium configurations and minimum energy path of carbon nanotubes with Stone-Wales defects and their related pentagon-heptagon lattice defects

Lei, Xiao-Wen / Nakatani, Akihiro | British Library Online Contents | 2017

In search of molecular scale devices: Theoretical study of linearly fused straight single-walled carbon nanotube junctions based on the pentagon/heptagon pair defects

Udomvech, A. / Shafiquzzaman, M. / Kerdcharoen, T. | British Library Online Contents | 2015

The heptagon-wheel cocycle in the Kontsevich graph complex

Buring, Ricardo / Kiselev, Arthemy V. / Rutten, Nina J. | British Library Online Contents | 2017