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A Study of Rhombic Hexahedrons Through Animation
Thesis

A Study of Rhombic Hexahedrons Through Animation

Li, Chi Feng
Masters, 國立清華大學, 數學系
2015

Abstract

菱形六面體 卡塔蘭立體 阿基米德立體 柏拉圖立體 變形 動畫 Rhombic Hexahedron Catalan Solid Archimedean Solid Platonic Solid Deform Animation
We introduce a variety of properties and examples of the animation of Rhombic Hexahedrons. Among which, in 3.3, 3.8, 3.10, 3.11, 3.12 we will combine the Rhombic Hexahedrons complex to construct the animation of Rhombic Hexahedrons complex. Moreover, in 3.5 we use the property that the compound of Cube and Octahedron intersect at the midpoints of the edges of Cube and Octahedron to construct the animation that deforms from Cube to Octahedron. And the compound of Catalan Solid and Archimedean Solid intersect at the midpoints of the edges of Archimedean Solid. We will use the property to construct the animation that deforms from Catalan Solid to Archimedean Solid in chapter 4. We are going to use the Cabri 3D to complete all of the graphs.

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