Poly-Universe Circle – Geometric skills development tool

circleA special form of artistic and mathematical system, laying shapes game

  • Recommended for children and adults, both alone and in teams.
  • Without any limitation the game may be used by healthy young people or people with disabilities.
  • It arouses desire to discover, and offers a continuous success experience.
  • It provides Indirect learning opportunities because you find out (create for yourself) all the tasks.
  • It teaches by playing! It teaches you to see!

It develops these abilities

  • Sight and touch, Form and color senses;
  • Abstractive vision, Art sensitivity;
  • Complex logical thinking, Mathemathical and combination skills;
  • Attention and concentration, Visual memory;
  • Skill and courage, Openness and team spirit.

Rules of the game

  1. Base structure elements
  2. Laying the basic elements
  3. Interfaces, connection points
  4. Rules
  5. Recommended creative methods

1. The structure of the basic elements

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. A colour – red, yellow, green, blue – is assigned to each of the elements. Due to the four color combinations a total of 24 different basic elements are available in the game package.

circle_01

2. Placing the basic elements

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.

circle_02

3. Linkage points

3.1 The basic elements can be placed with entire circle joins; then the vertices of same-size semicircles are connected with each other, thus creating smaller regular circles.

circle_03

3.2 The basic elements can be slid along the diagonal of the semicircles, that is, we connect the vertex of a bigger and a smaller semicircle with each other.

circle_04

3.3 Finally we can safely work with one vertex of a semicircle connected with that of another one in the plane.

circle_05

4. The rules

The game rules are based on finding the relationships between smaller semicircles and the colors (identity or difference). Thus, 5 rules can be distinguished, as follows:

A. Let us find semicircles of the same size and connect them.
B. Let us find semicircles of the same size and of the same colour and connect them.
C. Let us find semicircles of different size but of the same colour and connect them.
D. Let us find semicircles of the same size and of different colour and connect them.
E. Let us find semicircles of different size and of different colour and connect them.

5. Suggested methods of creation

In the following part we can learn about the different possibilities of methods of creation suggested by the inventor. We can create closed configurations, regular rings or open (irregular) configurations as well. We can work along the linkage points with entire circle joins, sliding and connecting the vertices of the semicircles, in the following ways:

5.1. The objective is to create closed rings with entire circle joins, in the first step using the fewest, then gradually all the 24 basic elements. Let us start following the examples below and if possible, let us use the rules separately:

circle_06

5.2. The objective is to create open or irregular configurations with entire circle joins. First we use an optional number of elements, then all the 24 basic elements. Let us start following the examples below and if possible, let us use the rules separately:

circle_07

5.3. The objective is to create any open or irregular configurations, or even closed rings by sliding the semicircles. First we use an optional number of elements, then all the 24 basic elements. Let us start following the examples below and if possible, let us use the rules separately.

Summary

Either we use the closed or the open method of creation during the game, 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 toy 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!

SAXON Szász János artist-inventor