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。

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.

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