- 學位論文
以正多面體之交集所表示的多面體
Polyhedra Expressed as the Intersection of Platonic Solids
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摘要
A polyhedral compound is an arrangement of polyhedra sharing a common center. Given a compound, consequently there’s a core, i.e. the intersection of the compound. Conversely, if we have the core and a collection of platonic solids, the arrangement of the compound is uniquely determined. Compounds of platonic solids are especially interesting. There are 15 well-known compounds of platonic solids. In this paper, we discussed the relationship of edges and volumes between the core and the components of the corresponding compound.
關鍵字
多面體參考文獻
Weisstein, Eric W. Cube. .
—. Decagon. .
—. Dodecahedron. .
—. Great Rhombicosidodecahedron. .
—. Great Rhombicuboctahedron. .
延伸閱讀
- Chen, Y. H. (2011). 正多面體投影的分類 [master's thesis, National Tsing Hua University]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0016-0107201116083062
- Lee, P. H. (2008). 正多面體的動態模擬 [master's thesis, National Tsing Hua University]. Airiti Library. https://doi.org/10.6843/NTHU.2008.00026
- Hsiao, H. C. (2006). 正交群的多項式不變量 [master's thesis, National Taiwan Normal University]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0021-0712200716105540
- Hsu, P. W. (2014). 多面體間的關係 [master's thesis, National Tsing Hua University]. Airiti Library. https://doi.org/10.6843/NTHU.2014.00047
- Yeh, C. C. (2007). Geometric constructions associated with the regular dodecahedron [master's thesis, National Tsing Hua University]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0016-0207200810152702