# János Szász SAXON

Erasmus+PUSE (Poly-Universe in School Education)

The main objective of our PUSE project is to develop a new visual educational system for mathematics.

The project is based on the Poly-Universe game, which is a geometric skill-developing game by János Szász SAXON fine artist. The novelty value of Poly-Universe lies in the scale-shifting symmetry inherent to its geometric forms and a color combination system, which can be used universally and impact the educational system, particularly in the education of geometry and combinatorics.

The complexity emerging out of its simplicity makes it more than a game, more than art, more than mathematics: these elements come all together – creating synergy in education.

The square consists of a large base form and three smaller ones: there are large, medium, small triangles to connect. Each of the triangles is attached to a color: red, blue, yellow, green. Due to the four color combinations a total of 24 different basic elements are available.

• The basic elements may be placed in the basic position and reversed (mirror reflection) position, may arbitrarily rotate them in the plane in any way.

• The basic elements may be laid by total side connection; in this case the angles of the basic elements connect.

• The basic elements may be slid along the sides; in this case the smaller squares’ vertices are linked to each other.

• Finally, we can work on the plane by joining the basic elements’ pinnacles.

The rules are based on finding the relationships between smaller squares located the peaks and the colors (identity or difference). Thus, 6 rules can be distinguished, as follows:

• Find the small squares of the same size and connect them.

• Find the small squares of the same color and connect them.

• Find the small squares of the same size and color and connect them.

• Find the small squares of different size but the same color and connect them.

• Find the small squares of the same size but different color and connect them.

• Find the small squares of different size and different color and connect them.

The possibilities of different creative methods for learning. We can create a closed (i.e., regular and solid) shapes.