Expositions of Mathematical Art by Koos Verhoeff

Mathematical Art

I shall not try to define mathematical art. Here are some examples:
Braided Column
This is a knotted space walk traced out by a single beam. The perpendicular cross section of the beam is a rhombus. Cutting the beam at 45 degrees, however, yields a square cross section.
Fractal Tree (with other parameters)
A three-dimensional version of the Pythagorian tree. The trunk of the tree is house shaped: a rectangular block with a roof. Each branch has a similar shape, but the floor is cut at an angle. The rectangular cross section of the branches is such that the two sides of the roof are rectangles with the same aspect ratio as the slanted floor. No two branches point in the same direction (for the tree ``with other parameters'' branches point in only three directions).
Jewelry Design
Torus Walk 2,3
Torus Walk 3,4
Spiral (small preview)
Escher-like spirals around a tube that ``bites its own tail''.
Platonic Polyhedrons (small preview)
The five Platonic polyhedrons in a different jacket.
``Lobke'' (small preview)
Six truncated cone segments glued together give one voluptuous band.
Charles E. Molnar Award at Async97
Description
`Riool-monument' (made from remainders of sewer pipe): four interlocking equilateral triangles.
For more information on these designs and their renderings contact:

Koos Verhoeff
Keersop 24
5551 TG  VALKENSWAARD
The Netherlands
Phone: +31 40 201 4765

or
Anton Bakker
7 Rue de Quatre Vents
75006  PARIS
France
Phone: +33 1 4329 8632
E-mail: bakker@montrouge.rps.slb.com


Tom Verhoeff / wstomv@win.tue.nl