Regina Bittencourt

Statement

Fascinated by mathematics and technology, Chilean artist Regina Bittencourt has developed her career in the field of information technology. After exploring many materials, formats and media, Regina got interested in abstract art that builds on lines, curves, algorithms, surfaces, structures, polynomials and other entities, in order to develop a Mathematical Art Work as an artistic expression. She imposes herself the difficult challenge of making art based solely on mathematical concepts to show the beauty of Math Art. This concept has taking her to The Netherlands, Finland, Paris, USA and China, among other places.

Artworks

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.

I was intrigued by how a surface could look so different, depending on our point of view. So I used the polynomial equation of a surface that I rotated to make these diverses images, even though it is the same Barth surface. This is its polynomial equation: 67.77708776*x^2*y^2*z^2-27.41640789*x^4*y^2-27.41640789*x^2*z^4+10.47213596*x^4*z^2-27.41640789*y^4*z^2+10.47213596*y^4*x^2+10.47213596*y^2*z^4-4.236067978*x^4-8.472135956*x^2*y^2-8.472135956*x^2*z^2+8.472135956*x^2-4.236067978*y^4-8.472135956*y^2*z^2+8.472135956*y^2-4.236067978*z^4+8.472135956*z^2-4.236067978=0