To Get Real Shapes and New Data of 120-Cell and 600-Cell - For commemorating great mathematician H. S. M. Coxeter

This research will be helpful to people to display the 2-dimensional projective models of 4-variable actual problems in many fields, in order to investigate deeply those actual problems. By using the theory of N-dimensional finite rotation group of the regular polytopes, the author establishes the 2- dimensional projective model of 4-dimensional rectangular coordinate system, and deduces a transformation matrix, and adopts it to display successfully the 2-dimensional real shapes of two most complicated regular polytopes 120-Cell and 600- Cell. The author calculates all the vertex coordinates and determines the joint relations between adjacent vertices of the regular polytopes 120-Cell and 600-Cell. Also, this provides a pattern for displaying the 2-dimensional projective model of 4-variable actual problem.

About the author

Kaida Shi se graduó en el Departamento de Matemáticas de la Universidad de Fudan, China. Es un seguidor del distinguido matemático chino Profesor Buqing Su. Su actual cargo como profesor asociado de la Universidad del Océano de Zhejiang, China.

Product details

• Authors: Kaida Shi
• Publisher: LAP Lambert Academic Publishing
• Languages: English, German
• Product format: Paperback / Softback
• Released: 28.03.2011
• EAN: 9783844322705
• ISBN: 978-3-8443-2270-5
• No. of pages: 60
• Dimensions: 150 mm x 220 mm x 4 mm
• Weight: 108 g
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Geometry