We know Archimedean Solids are very good mathematical models, they are familiar everywhere, even in high schools in Taiwan. If we can do some works on them, someday people may need these works in other fields.
In Chapter 1, we introduce the 13 Archimedean Solids. In Chapter 2, we make the Reye’s Configuration from a small example. In chapter 3, we do some ‘warm-up’ before chapter 4. We make some new polyhedras from Archimedean Solids by using inversion, which are the base where I build some Reye’s Configurations. In chapter 4, we study on building Reye’s Configurations, and find some ‘concurret, collinear, coplanar’ properties on them.

[1] Cromwell, Peter R. Polyhedra .Cambridge University Press , 1997
[2] http://mathworld.wolfram.com/ArchimedeanSolid.html
[3] http://mathworld.wolfram.com/SnubCube.html
[4] http://mathworld.wolfram.com/SnubDodecahedron.html
[5] http://mathworld.wolfram.com/ReyeConfiguration.html
[6] P. K. Aravind#. How Reye’s configuration helps in proving the Bell-Kochen-Specker theorem: a curious geometrical tale, Worcester Polytechnic Institute.
[7] http://www.squidoo.com/basic_perspective
[8] Bakel’man, I. IA. (Il’ia Iakovlevich), 1928- . Inversion/ I. Ya. Bakel’man; Translated and adapted from the Russian by Susan Williams and Joan W. Teller, Chicago:University of Chicago Press, 1974
[9] http://www.oz.nthu.edu.tw/~g9721613/
[10] http://www.oz.nthu.edu.tw/~g9621515/