Kiran R Desai Ph.d.

Mathematical Modern Art: Visual Mathematics Series Kiran R Desai Ph.d.

This book is about creating artistic pictures based on mathematical equations and principles. The focus of this book is identification of some of the mathematical principles that can be used to represent pictorially. Some of the figures are used to elaborate principles of elementary mathematics such as properties of associativity, commutativity, and distributivity. Some of them are meant to serve as a pictorial proof for algebraic equations. There are a couple of drawings to elaborate cases where the area and perimeter of different shapes are the same, even though not apparent at first. The underlying theme in many figures is the use of shapes with equal area. A variety of such shapes of equal area are then used in the visual pictures. There are quite a few figures that are based on principles of recursion. One such painting provides a visual representation for the algebraic constant, 'e'. The latter part of the book has paintings based on properties of symmetry, reflection, and replication. All the images in this book are the original work of the author.