Since the ancient times pursued to depict a man’s body with perfect proportions, while sculptors – to carve it from stone.
Not only they tried to test it in practice, but also they left many manuscripts of this subject.
For example, the sculptor Polykleitos wrote a treatise of mathematical proportions for carving an ideal man.
The ancient Egyptians and Greeks knew about the golden ratio – an aesthetically pleasing ratio and implied it in their paintings, buildings.
The idea of the Egyptian triangle was realized in the design of such famous buildings as the Pyramid of Cheops, the Parthenon and the Colosseum.
A famous Renaissance painter Leonardo da Vinci also used mathematics in his works.
Being Luca Pacioli’s student, he studied his book Summa, from which he copied tables of proportions.
In Mona Lisa he used the idea of Golden Rectangles.
In The Last Supper he intensively sought how to arrange characters at the table.
So the whole painting was constructed in a ratio of 12:6:4:3.
With the further development of Mathematics works of artists became more complicated, what we can detect in the paintings of the best-known representative of an imp-art M. C. Escher.
He explored the concepts of infinity and symmetry and masterly used it.
He used to tile surfaces with regular shapes such as triangles, squares and hexagons, irregular polygons.
In the middle of 1980-s the fractal art was developed.
A fractal is a self-congruent set.
The considered icons of it are the Julia set and Mandelbrot set.
Geometry was always the most beautiful branch of Mathematics and it made a great impact on the Arts, and it still makes.
Thus, they were bounded together tightly for many decades.
September 2014
Прагаласуй зараз! 