Symmetry in Regular Polyhedra Seen as 2D Möbius Transformations: Geodesic and Panel Domes Arising from 2D Diagrams

Symmetry in Regular Polyhedra Seen as 2D Möbius Transformations: Geodesic and Panel Domes Arising from 2D Diagrams

This paper shows a methodology for reducing the complex design process of space structures to an adequate selection of points lying on a plane. This procedure can be directly implemented in a bi-dimensional plane when we substitute (i) Euclidean geometry by bi-dimensional projection of the elliptic...

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Bibliographic Details
Main Authors: Jose A. Diaz-Severiano, Valentin Gomez-Jauregui, Cristina Manchado, Cesar Otero
Format: Article
Language:English
Published: MDPI AG 2018-08-01
Series:Symmetry
Subjects:
symmetry
polyhedra
space structures
stereographic projection
Möbius transformations
Online Access:http://www.mdpi.com/2073-8994/10/9/356

Internet

http://www.mdpi.com/2073-8994/10/9/356

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