# Regina Bittencourt

Mathematical Art is meant to show the perfect beauty of structures, lines, formulas, algorithms, proportions, surfaces..., the beauty of numbers. Its sole purpose is to show its supreme beauty.

Since she was a child Regina does art & craft, but once she started doing Mathematical Art, she found out that it reflected unsurpassed beauty and never wanted to stop.

The perfect beauty of surfaces is reflected in her collection "Beautiful Lines" from which she presents two artworks: "I Love Chocolate!" and "Deconstructed Beach Ball".

Also, the serie "The Big Bang of ..." from the collection "Numbers are Fun" suggests to the viewer, find the number represented in the artwork, which pays tribute to the TV series The Big Bang Theory.

Everything in this artwork is related to Phi (Φ, ϕ, φ): 1,618033... a beautiful number with unique characteristics.

In the Fibonacci sequence each number is the sum of the two preceding numbers (1, 1, 2, 3, 5, 8, 13, 21, 34...) each of one is called a golden number. This numbers are found in nature: pineapples, galaxies, pinecones.

Two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities.

The ratio of the diagonal to the side of a pentagon is the Divine Proportion. Connecting the vertices of the nested "Golden Triangles" inside the pentagon will produce the logarithmic spiral.

Also, any natural number could be written as the sum of distinct golden numbers.

An algebraic surface are the points in space that satisfy a polynomial equation and can be plotted in the Cartesian coordinate system x, y, z.

Deconstructed Beach Ball represents a septic algebraic surface forming each of the parts of a typical beach ball. Its polynomial equation is x^7-21x^5y^2+35x^3y^4-7xy^6+7x = 0

En this case, the application Surfer was used to create the images of this collection of objects that are familiar to anyone. Please note that if the same polynomial equation is introduced in the software, you may not get the same result because the software allows you to apply properties to the image that are not included in the equation.