# Richard Kallweit

My works are based on investigations into structures concerning the
arrangement of particular units in space. Cubic packing, fractals,

tessellations, symmetry and growth patterns are some of the ideas I
have been working with. They are based on such rigid systems it often
feels

as if they are creating themselves as natural phenomena.

Kenneth Snelson, Ruth Vollmer and Tony Smith come readily to mind as
artists who have dealt with similar concerns. This approach in art is
difficult in that there are other concerns than primarily math ones.
There is a need in my work to have many units in order to convey the
correct

experience. An example in math is the number sequence
1,1,2,3,5......play, plasticity, light and error have a part.

I first began using sugar cubes, a readily available resource, to
construct models and pursue ideas. The first was the Sierpinsky
Sponge

that i had first come across in Benoit Mandelbrot’s first book,
Fractals Form Chance and Dimension which had been recently
published. The next was the reverse, the inner dimension. Later i
used wooden blocks as I needed to form clusters of four cubes
joined on edge and to make a fractal by using clusters of four of
these four; hence the Cubic Tetrahedron.

An interesting aspect of this is Pascal’s triangle on each face
and with all its mathematical content. Later i was even able to
construct a 3D Cantor set. “Cantor Dust” and many others.

I first began using sugar cubes, a readily available resource, to
construct models and pursue ideas. The first was the Sierpinsky
Sponge

that i had first come across in Benoit Mandelbrot’s first book,
Fractals Form Chance and Dimension which had been recently
published. The next was the reverse, the inner dimension. Later i
used wooden blocks as I needed to form clusters of four cubes
joined on edge and to make a fractal by using clusters of four of
these four; hence the Cubic Tetrahedron.

An interesting aspect of this is Pascal’s triangle on each face
and with all its mathematical content. Later i was even able to
construct a 3D Cantor set. “Cantor Dust” and many others.