Regina Bittencourt
Even though our culture has two separate disciplines for mathematics
and art, I feel that mathematics is of unique intrinsic
beauty. And it is what I wanted to show when doing each artwork: to
express the beauty of a curve, the game of algorithms
and how the organization of numbers can form algebraic surfaces.
I want to discover the beauty of mathematics.
The image shows the interior of several algebraic surfaces and was generated from the following polynomial equations:
(0.2*x^2+0.2*y^2+z^2-1)*(0.2*x^2+0.2*z^2+y^2-1)*(0.2*z^2+0.2*y^2+x^2-1)=0
(z-2)*(z+3)*(z+2)*(z-4)*(x-2)*(x+3)*(x+2)*(x-4)*(y-2)*(y+3)*(y+2)*(y-4)=0
Once the algebraic surfaces were generated, they were cut on the outside to fit inside an imaginary cube. This allowed the image to show the interior of the surfaces.
This artwork presents a Simple Imperfect Squared Square of order 13.
It is a square that contains 13 squares; some of them are of the same sizes which makes it imperfect. And no subset of the squares forms a rectangle or a square; that characteristic makes it simple.