Introduction

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.

First time I saw the Reye’s Configuration, I though that it is a nice model, too! This model must be
important in other field, I think. That why I combine Archimedean Solids and Reye’s Configuration,
to be my subject in this thesis.

In Character 1, we introduce the 13 Archimedean Solids slightly. In Character 2, we make the Reye’s
Configuration from a small example. In character 3, we do some ‘warm-up’ before character 4. We make
some new polyhedras from Archimedean Solids by using inversion, which are the base where I build
some Reye’s Configurations. In character 4, we study on building Reye’s Configurations, and find some
‘numberal, concurret, collinear, coplanar’ properties on them.

All works in this thesis is displayed on my site: http://www.oz.nthu.edu.tw/~g9621607. It is
displayed dynamically, and even download some files. But all rights there are reserved, just for pure
non-commercial reserch.