Geometric constructions associated with the regular dodecahedron

• Main Authors: Chin-Chia Yeh, 葉晉嘉
• Other Authors: Jen-Chung Chuan
• Format: Others
• Language: en_US
• Published: 2008
• Online Access: http://ndltd.ncl.edu.tw/handle/21979429957723414374

碩士 === 國立清華大學 === 數學系 === 95 === The regular dodecahedron has 12 faces and 20 vertexes. Each faces of the regular dodecahedron is a regular pentagon. In short, the regular dodecahedron can be employed in many ways. There are several sections in this study. For the first section, it talked about the duality of regular dodecahedron. The second and third section described about the relationship between regular dodecahedron and other stuffs. The fourth section discussed about using the regular dodecahedron to construct the certain polyhedrons. And, those polyhedrons are related to stellated polyhedrons. The final section talked about using the regular dodecahedron to construct the certain polyhedrons. And, those polyhedrons are related to Catalan solids. This paper presents the design of Polyhedron under Cabri3D, interactive dynamic software of geometry. It is divided into five sections. You can crystal clearly to discover the detail in the website: http://apollonius.math.nthu.edu.tw/d1/dg-07-exe/g943251/dynamic/index.htm Here you can see the production of this study and application of 3D dynamic geometry.