Gu Ye, Class 3, Grade 7, Bayi Middle School, Haidian District, Beijing

In our daily life, we can see many floors composed of different shapes of tiles. These figures with different shapes and seamless connection also involve many mathematical problems. This week, we learned the knowledge of regular polygon mosaic and solved many practical problems.

A regular polygon refers to a polygon with equal sides and internal angles, such as a regular triangle, a square, a regular pentagon, etc. The sum of internal angles of any polygon is (n-2) 180 degrees, and the sum of external angles is 360 degrees. No matter how many polygons are used, as long as the sum of the internal angles of the same vertex is 360 degrees, the tiles can be ensured to be flat and seamless.

In real life, there are many patterns that are often composed of irregular basic patterns. These irregular patterns are dazzling at first glance, but in fact they are made up of regular patterns by shifting and supplementing. For example, a jigsaw puzzle is made up of pieces of irregular graphics, and there are many patterns.

Through the study of ceramic tile, I not only mastered the mathematical formula of regular polygon, but also understood the mathematical principle of ceramic tile floor. These are my further understanding of the flexible application of mathematical ideas and concepts in real life, which broadens my thinking.

Date of submission: May 30, 2004 at 20: 5 1: 13.