- 學位論文
Polyhedra which vertices are inverted into that of well-known polyhedra
正多面體其頂點反演位於多面體
摘要
在這篇文章中，我們將討論正多面體的頂點對於空間中任一球體反演後所組成的多面體，其邊長延伸所產生的交點以及這些共點的共線行為。最後利用Desargues定理對文中的各項性質與關係做結論。
關鍵字
Polyhedra並列摘要
In this article, we will discuss the collinear property of the intersection points which are generated by the extended sides of the polyhedron which vertices are consisted of the inversion of vertices of the regular polyhedron, and the behavior of these concurrent points. Finally, we conclude the relations of these properties by Desargues' theorem.
並列關鍵字
無資料參考文獻
[1] Smith. J. V. (1982). Geometrical And Structural Crystallography. John
[2] Coxeter. Harold Scott MacDonald (1969). Introduction to Geometry
[4] David E. Blair (2000). Inversion Theory and Conformal Mapping.
American Mathematical Society.
sultants Bureau.
被引用紀錄
蔡姿勤（2017）。以現金流量、資本支出與研究發展費用、股利，或經濟附加價值作為經理人績效衡量指標對於公司投資效率之影響〔碩士論文，國立臺灣大學〕。華藝線上圖書館。https://doi.org/10.6342/NTU201701342
延伸閱讀
- Tu, C. H. (2010). 多面體生成的菱形多面體 [master's thesis, National Tsing Hua University]. Airiti Library. https://doi.org/10.6843/NTHU.2010.00089
- 黃元豪（2017）。正多面體的體積〔碩士論文，中原大學〕。華藝線上圖書館。https://doi.org/10.6840/cycu201700839
- Lu, L. Y. (2008). 非凸多面體之作圖 [master's thesis, National Tsing Hua University]. Airiti Library. https://doi.org/10.6843/NTHU.2008.00449
- Lin, J. Y. (2009). Johnson 多面體中反演圓的共點性質 [master's thesis, National Tsing Hua University]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0016-1111200916122893
- 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