2018 Joint Mathematics Meetings
Regina Bittencourt
Artists
Regina Bittencourt
Mathematical Artist
MuArt Mujeres en el Arte; APECh; ESMA
Santiago, Chile
Statement
Mathematics exists since the creation of the universe and they wait to be discovered. I want to discover its beauty.
Artworks

The Symmetric Four-Color Simple Imperfect Squared Square
50 x 50 cm
Acrylics on canvas
2017
This artwork mixes three math problems:
It is a Simple Imperfect Squared Square of order 21, colored using the Four-Color Map Theorem and design and painted with Symmetry.
The 21 squares are not of different sizes which makes it imperfect; and simple because no subset of the squares forms a rectangle or a square.
The Four-Color Map Theorem states that any map in a plane can be painted using four colors, so that regions sharing a common boundary do not share the same color.
The main square has rotational Symmetry of order 4, since the tiling is invariant when rotated by 90 degrees.