# Jana Kopfová

As a child, I dreamed to study mathematics and arts. I became a profesional mathematician and my love of arts is my hobby.

I am trying to spread the beauty of Mathematics through all what I do - through my lectures, through math circles to high school students, through animated movies about Math, which I helped to create, and lately also through Silk paintings. I love flowers and geometrical designs and playing with the technique a colors.

This is a flower Fibonacci spiral. Fibonacci numbers are also used on a flower design. I like to connect the beauty of Mathematics and Arts and Nature. Fibonacci numbers are a fascinating phenomena to demonstrate this. The idea came during my work on a Golden ratio animated movie.

I wanted to make a silk paint math inspired project in 3D, and
since I had some square silk frames, cube came to my mind. I also
wanted to continue with my fascination in spirals and connect
spirals on a cube surface to create a model of a dynamical system
on a cube surface. I searched for a symmetric pattern. This lead
to a simple problem from graph theory, how to color each vertex of
a cube in one of 4 colors so each side contains all 4 different
colors. And finally, because I love nature and flowers especially,
I choose a floral pattern.

The result is a cube with spirals of 4 different colors, each
going from a middle of one cubes sides to another one. Can you
find out if any two sides are identical?