Polyhedra

Wang, Siew Enn (2008) Polyhedra. Universiti Malaysia Sabah. (Unpublished)

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Abstract

This dissertation was intended to offer an explanation of the Platonic Solids, Archimedean Solids and Kepler Poinsot Solids,at once simple and practical but not too speculative. There are some characteristic and properties have been observed and discussed. Every polyhedron follows the Euler's Formula and has its dual polyhedron. However, there is an exception of Euler's Formula for Kepler Poinsot Solids. All the Platonic Solids, Archimedean Solids and Kepler Poinsot solids can be described in an easier form like schlafli symbol and vertices configuration. The tessellation of polyhedron shows its arrangement of polygonal faces. Archimedean can be formed by truncation and snubbing process of Platonic Solids. On the other hand, Kepler Poinsot can be constructed by stellations of Platonic Solids. Some regular polyhedra share the common vertex arrangement or same edge arrangement.

Item Type: Academic Exercise
Uncontrolled Keywords: polyhedron, Euler's Formula, Kepler Poinsot Solid, Archimedean Solid, Platonic Solid, polygonal faces, vertex arrangement
Subjects: Q Science > QA Mathematics
Divisions: SCHOOL > School of Science and Technology
Depositing User: MDM SITI AZIZAH IDRIS
Date Deposited: 27 Mar 2014 08:27
Last Modified: 13 Oct 2017 01:43
URI: http://eprints.ums.edu.my/id/eprint/8622

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