Mathematics and art appear to be completely different areas: Art deals with the subjective perception of the human mind and encourages unbounded creativity, no rules, no order. Mathematics, on the other hand, establishes and reveals relations through logical deduction with clear definitions and order.

The website beautyofmath.org aims to combine both: Hidden patterns of mathematics become visible by applying simple or complex ideas of art. Simultaneously, we yield wonderful pieces of art by applying logical mathematical principles or algorithmic processes!

The possibilities and opportunities to visualize complex or hidden structures and laws are limitless! Already basic ideas for art concepts yield wonderful images that reveal hidden relations.
By applying even more advanced techniques and algorithms you experience the true power of art and mathematics as a united field of research and creativity.

From prime numbers, Fibonacci numbers, sequences, series, functions, equations, shapes, recursions to random values - we can apply art concepts on countless aspects of mathematics. We get a completely new perspective and might even gain new knowledge.

We first need an algorithmic method to visualize mathematical concepts! These methods generate images based on a numerical input: box method, spiral method, walk method, graph method and so much more! The imagination is not limited. The concept of the different methods is explained in the corresponding section.

Hidden Patterns

Mathematicians search for patterns and principles that lay deep in the foundations of the mathematical definitions. The union of art and mathematics enables humans to get a new perspective on numerous patterns and reveal completely new ones. Every beautiful aspect of an image is a mathematical question and any irregularity might result in a whole new theory

Creative Algorithms

The essential part to create a stunning image and to visualize a mathematical secret is an algorithm, i.e. a method: It is extremely interesting to invent new methods that yield new images and reveal even more details. There is no limit to your creativity and no limit to the number of algorithms you can think about!

Research

Several methods yield images that reveal completely new details of mathematical aspects or produce unbelievable interesting and unexpected patterns. The visualizations do not only encourage further research on mathematical aspects but especially the understanding, description, and prediction of algorithmic methods: Why does mathematics shape some images in the way it does? Can we find the connections between mathematical input and the visualization output?


The website was created by several international students of mathematics led by Fabian Schneider in mid-2017. The aim: To make mathematical visualizations, mathematical artwork, and algorithmic art publically accessible and concentrate the unlimited possibilities at one place! We want to inspire other people, fuel new mathematical research and emphasize the hidden beauty that lies deep inside the foundations of mathematics.