The hexagon
The hexagon is an important geometric symbol in my artwork. I have chosen this
shape, because it consists of mathematical relations, relations of harmony, and exists
everywhere in nature. Even the chemical compounds are represented by hexagonal
shapes. For instance, Benzene, which is the simplest molecule, is shaped as a
hexagon. So it becomes apparent that there is an organicity which refers to the inner
body through a tiny glimpse of brain biochemistry.
The reason that a bee chooses the regular hexagon and not the equilateral triangle
or the square, it builds its honeycombs in hexagonal shapes because in each cell it
can deposit a particular amount of honey. It can be noted that the choice of the
hexagonal shape is not random. First of all, it "completes" precisely the surface
without leaving any gaps, while at the same time is the only figure with the smallest
perimeter and therefore the bee consumes less wax to build the cells. So it requires
less wax and can store more amount of honey.
Another very interesting feature is that the side of the hexagon in relation to the side
of the equivalent squares have golden section ratio. Assuming that the area of each
shape equals to a square unit, and by calculating the area of any regular polygon,
solving regarding to a and the area equals to 1 sq. points, the side of the hexagon
equals to 0.62 and side of the equivalent equals to square one. Thus, the ratio 1 /
0.62 = 1.62, where F = 1.62, is the law of perfect harmony. This means that the sides
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