Janos Szasz SAXON

Statement

Either we use the closed or the open method of creation during the Poly-Universe Circle, we should always aim at creating the most regular configurations possible using all the basic elements at one time. The - practically infinite - number of mathematical and aesthetical possibilities inherent in the Poly-Universe Circle only manifest when you apply all the combinations of scales and colours at the same time. Step by step we can get to creating and then solving the hardest problems – thus the beauty and harmony in the operation of the Universe will be revealed to us through the game. It is a fantastic challenge for both children and adults!

Artworks

The basic elements can be placed in basic position and inverse (mirrored) position, and when placing, they can be turned in any direction in the plane. This is an aesthetic and technological consideration, but it has some mathematical consequences too. The orientation changes at the axial mirroring, thus we get a new element regarding the set up opportunities when we mirror, or else, when we turn round an element.

The Poly-Universe Circle is the linking of a basic object derived from a bigger circle and three smaller, similar semicircles: a big, a medium and a small one. The semicircles are situated at a 120° angle to one another, and their radius ratio is 8:4:2:1. A colour - red, yellow, green, blue - is assigned to each of the elements. Therefore the number of the elements in each package presents itself through the simple permutation without repetition of the four colours in all of the three cases, i.e. each package contains 4 • 3 • 2 • 1= 4! = 24 elements.