}

Mosaics

1990/03/01 Angulo, Patxi Iturria: Elhuyar aldizkaria

Mosaics
 
The angle formed by the two consecutive sides of the polygon side n is then calculated.

The reason for the writing of this article, Elhuyar. We should look in the article of the two copies prior to Science and Technology. So it will not be difficult to guess why. In the article entitled <unk> Poliminos <unk> we managed the images of the plane. Specifically, we used polygons, but not any polygon, but equilateral triangles, squares and hexagons. In it, the square, the equilateral triangle and the hexagon are the only regular polygons that can form the plane. When we put together the polymines, we were basically forming mosaics, although the number of pieces we used was finite.

In the following lines we will try to demonstrate the above statement. The demonstration will be carried out by calculating the angle formed by the two consecutive sides of the polygon side n. That's what we're going to do now.

We circumscribe the first polygon in a circumference. We will connect the vertices of the polygon to the center of the circumference by straight forming n isosceles triangles. These triangles have a common vertex located in the center. Angles corresponding to this vertex ACB = EUSKALTEL.COM = 360

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