Reye's Configuration

2.1 Definition

A system of 12 planes and 12 points is called a Reye’s Configuration if it is satisfied below[5]
(Figure 2.1):

(1) it consists of 16 lines,
(2) there are four lines passing through every point,
(3) there are three points lie on every line.

Figure 2.1	Figure 2.2

In character 4, we consider a Reye’s configuration has three centers of perspectivity w.r.t three pairs
of squares, and specially, only one pair squares are “really” on , so the center of perspectivity w.r.t this
pair is real, the other two are unreal (Figure 2.2).

2.2 Application

In physics field, mathematical models are used again and again; the Reye’s Configuration is not an
exception. There is one paper about using Reye’s Configuration to proof a physical theorem [6].

Another view of this model can be found from Art. Perspective is one approximate representation
by drawing, and sometimes artists use double point perspective or triple point perspective. We can see
Reye’s Configuration on this drawing skill below [7]: