To Get Real Shapes and New Data of 120-Cell and 600-Cell

ISBN-13: 9783844322705 / Angielski / Miękka / 2011 / 60 str.

Opis

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.

O autorze

Kaida Shi graduated from the Mathematics Department of China's Fudan University. He is an adherent of China's distinguished mathematician Professor Buqing Su. His present post as an associate professor of Zhejiang Ocean University, China.