# Möbius

Dedicated to all the ingenious minds who never stopped asking questions from the Antique to our modern days.

*August Ferdinand Möbius (1790 – 1868)*: German mathematician and astronomer. Discovered the so-called Möbius strip, which is a non-orientable two-dimensional structure with only one surface and one edge (when embedded in the tree-dimensional euclidian space, which is the „normal“ space). Non-orientable means, there is no distinction between up and down, inside and outside.

*Squaring the circle*: An ancient geometrical problem. The task is to construct a square with the same area as a given circle by using a finite number of steps. This problem has been proven unsolveable by only employing ruler and compass, but there are several approximations.

*Iteration*: Repeating a process with the aim of approaching a desired result. The result of one iteration is used as the starting point for the next iteration.

Initial set of materials: hatbase made from woolfelt, either round or cubic, covering approximately the same area of the head; one or two strips of sinamay, always of the same length; additional elements made from woolfelt.

All ribbon-structures are never fully closed or perfect of shape. A full and perfect circle or square is a very finite structure, but creativity is an infinite, ongoing process.