Richard Kallweit
My works are all an investigation into mathematical form using artistic means. I beleive that the intuitive and playful aspects of art expression have led to many discoveries otherwise unobtainable by traditional means.
This piece is comprised of interlocking wood planes in the form of a fractal tetrahedron derived from cubic forms
placed on edge. I have long been constructing images of this sort. I use cubes as sort of pixels to define space. As cubes are naturally space filling an infinite number of space constructs are available.
These two constructs are actually realizations of Cantor diagrams in 3 dimensions. Every other unit is removed and the one shape is the negative of the other.
This is a relatively simple geometric form . It is composed of elements of pntagonal structure. Since the flat diamond shapes will not fit together as a flat surface the triacontahedron shape deforms them into a saddle shape. I used an old pattern of mine to cover the surface.