In this category we will be publishing a variety of interesting mathematical patterns, diagrams, curves etc.

Particular attention will be paid to the naturally occurring mathematical patterns in the world around us (fractals, Fibonacci numbers, Voronoi diagrams, tessellations,…), i.e. natural forms that can be explained by mathematical laws. If you have an idea for some interesting mathematical pattern or mathematical natural form, please send us your proposal and we will try to draw and publish it within this category.

All Mathematical 2D patterns are under Creative commons attribution licenses; depending on the license type, some patterns are only for personal use and some for commercial use as well. Before you make use of these patterns in your project, please check and observe the license that we have prescribed.

If you need Mathematical 3D surfaces, you can find them here: Mathematical 3D surfaces


Black and white vector portrait of the famous Greek mathematician, physicist, inventor, and astronomer Archimedes of Syracuse.

On this page you can download free Cairo pentagonal tiling pattern. Pentagons are not regular pentagons, their sides are different lengths.

Here you can download mathematical patterns that are created when drawing cardioids (6 examples resemble a chessboard and 6 are radial patterns).


This is a large collection of Voronoi diagrams that were parametrically generated using an algorithm in 2D CAD software.

This collection contains parametrically generated examples of all 17 wallpaper groups, and to make the differences between them more obvious, they were all generated using the same design element.

Here you can download  Fibonacci number 2D patterns. All three of them are examples of integration of mathematics and nature.

Here you can download a collection of various versions of the pattern known in applied mathematics as Gilbert's Tessellation.

This collection is called Infinite Twisted Tunnel Patterns, and this type of pattern can also be found under the name ‘tunnel optical illusion’ or ‘abstract tunnel’.

Here lovers of parametric design can download patterns generated from random lines using an algorithm and 2D CAD software.

One of the frequently seen mathematical patterns in nature is the Voronoi pattern whose 4  variations can be downloaded on this page.