I am always fascinated by things that are symmetric. In symmetrical things we see beauty and thereby mathematics. It is therefore a quest and adventure for an inquisitive mind to go deeper and deeper to study the building blocks of things that are symmetric. The images that I produce show the ubiquity of mathematics and how mathematics is a key to understand the nature that we live in, in particular, and how it unlocks the secrets of our universe in general.

The usual elementary functions and their compositions can generate sophisticated graphs which are shown. The structures (or patterns) are superimpositions of polar surfaces resulted from several compositions of tilts and turns on the coordinate axes in three dimensions. When they are viewed from a different turn and tilt they generate a totally different, fascinating structure.

The structures are a few from my collection, which numbers more than 70. For those who are interested to see them, check my website and click on the gallery button.

— *Andrew Lipson *

Caption if needed

Caption if needed

Caption if needed

Caption if needed

Caption if needed

Caption if needed