The Animation of Regular Polyhedrons

碩士 === 國立清華大學 === 數學系 === 96 === In this thesis, I would like to perform transformation of five kinds of regular polyhedron to other polyhedrons by their geometry properties. For instance, Triakis Tetrahedron can be transformed from Regular Tetrahedron; Rhombic Dodecahedron can be transformed from C...

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Bibliographic Details
Main Authors: Pei-Hsin Lee, 李珮欣
Other Authors: Jen-Chung Chuan
Format: Others
Language:en_US
Published: 2008
Online Access:http://ndltd.ncl.edu.tw/handle/34809416958374597336
Description
Summary:碩士 === 國立清華大學 === 數學系 === 96 === In this thesis, I would like to perform transformation of five kinds of regular polyhedron to other polyhedrons by their geometry properties. For instance, Triakis Tetrahedron can be transformed from Regular Tetrahedron; Rhombic Dodecahedron can be transformed from Cube; Stella Octangula can be transformed from Regular Octahedron and Great Icosahedron can be transformed from Regular Icosahedron, etc. The following website shows clearly the dynamic simulation and detail process of generating regular polyhedron. http://apollonius.math.nthu.edu.tw/d2/thesis-2008/Lee/ The variety of polyhedron and the application and development of Cabri 3D are displayed on the website as well.