Polyhedra

fig. 9

Beyond three points, the next stage is about the volumes. Among these will be considered the  simpler and more regular: the polyhedra of Archimedes. In the part of this article we will not retain than the first three.

The simplest is the tetrahedron. It includes four vertices. His rendered is shown in Figure 9.

 

 

 

 

fig. 10

The octahedron has six vertices. It is composed of eight triangles equilateral all identical. His rendering is presented figure 10.

 

 

 

 

 

fig. 11

The hexahedron, that is to say the cube, includes eight vertices. (Figure 11)

The cube can be broken down into two tetrahedra. In Figure 11a the group of four colors of left is the first tetrahedron and the right group the second. It can also be broken down into six squares corresponding to each of his faces. (Figure 1 2)

 

 

fig. 12

With examples such as the octahedron or cube and their multiple possible decompositions we understand the profound richness of a geometric approach to color in a three-dimensional space. The possibilities of composition and of arrangement are endless while keeping the rigorous coherence of the given theme.

 The objects we saw in this first part constitute in effect, in our point of view,  color themes in that they are independent of each other and intrinsically coherent.

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