Art Meets Mathematics in the Fourth Dimension To see objects that live in the fourth dimension we humans would need to add a fourth dimension to our three dimensional vision. An example of such an object that lives in the fourth dimension is a hyper sphere or “3 sphere”. The quest to imagine the elusive 3 sphere has deep historical roots: medieval poet Dante Alighieri in his circa 1300 AD Divine Comedy used a 3 sphere to convey his allegorical vision of the Christian afterlife. In 1917 Albert Einstein visualized the universe at each instant in time as a 3 sphere. He described his representation as “…the place where the reader’s imagination boggles. Nobody can imagine this thing.” Over time however our understanding of the concept of dimension evolved. By 2003 a researcher had successfully rendered into human vision the structure of a 4 web (think of an every increasingly dense spider’s web). In this text Stephen Lipscomb takes his innovative dimension theory research a step further using the 4 web to reveal a new partial image of a 3 sphere. Illustrations support the reader’s understanding of the mathematics behind this process. Lipscomb describes a computer program that can produce partial images of a 3 sphere and suggests methods of discerning other fourth dimensional objects that may serve as the basis for future artwork. Reviews The author’s notion of fractal based computer art is fascinating a clear expression of our technological age. With the color plates in this book and the available DVD animation the reader will not only substantiate this but will also gain an intuitive sense about the nature of fractals and about the structure and origin of the 4 web. A.D. Parks Ph.D. Principal Scientist Head of Quantum Physics Group Naval Surface Warfare Center Dahlgren Virginia Using numerous illustrations the author discusses the idea of a fourth dimension. The new feature here is his use of an object that up until recently lived only in the fourth dimension. This book should become useful educational and widely read. Gerald Edgar Professor (Emeritus) of Mathematics The Ohio State University I have read many books but only a couple has been as suggestive in terms of connections between mathematics art and physics as this book. It will be exceptionally well received. John E. Gray Senior Member of IEEE Lead physicist (over 130 publications) An accessible yet rigorous treatment of recent mathematical research this book is particularly valuable since its auth ...