The book explores the patterns created by iterating conformal maps of the complex plane called Möbius transformations, and their connections with symmetry and self-similarity.

These patterns were glimpsed by German mathematician Felix Klein, but modern computer graphics allows them to be fully visualised and explored in detail.

The book's title refers to Indra's net, a metaphorical object described in the Buddhist text of the Flower Garland Sutra.

It also refers to Klein's wider vision of the connections between group theory, symmetry and geometry - see Erlangen program.

It covers a broad span of topics, showing interconnections among geometry, number theory, abstract algebra and computer graphics.