Regina Bittencourt
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.
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