# Regina Bittencourt

Artist and IT Consultant

Santiago, Chile

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.

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 surfaces inside an imaginary cube

100 x 100 cm

Giclée on museum canvas

2020

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.

(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.

The Beautiful Buildings of a Squared Square

50 x 50 cm

Acrylics on canvas

2020

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.

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.