|Publisher||Houghton Mifflin Harcourt|
|September 1, 1984|
The Fourth Dimension: Toward a Geometry of Higher Reality (1984) is a popular mathematics book by Rudy Rucker, a Silicon Valley professor of mathematics and computer science. It provides a popular presentation of set theory and four dimensional geometry as well as some mystical implications. A foreword is provided by Martin Gardner and the 200+ illustrations are by David Povilaitis.
The Fourth Dimension: Toward a Geometry of Higher Reality was reprinted in 1985 as the paperback The Fourth Dimension: A Guided Tour of the Higher Universes. It was again reprinted in paperback in 2014 by Dover Publications with its original subtitle.
The Fourth Dimension teaches readers about the concept of a fourth spatial dimension. Several analogies are made to Flatland; in particular, Rucker compares how a square in Flatland would react to a cube in Spaceland to how a cube in Spaceland would react to a hypercube from the fourth dimension.
The book also includes multiple puzzles.
Kirkus Reviews called it "animated, often amusing", and a "rare treat", but noted that the book eventually leaves mathematical topics behind to focus instead on "mysticism of the all-is-one-one-is-all thinking of an Ouspensky." The Quarterly Review of Biology declared it to be "nice", and "at times (...) enchanting", comparing it to The Tao of Physics.
- THE FOURTH DIMENSION: Toward a Geometry of Higher Reality, reviewed at Kirkus Reviews; published October 8, 1984; retrieved June 27, 2018
- [Scott Ferson, "The Fourth Dimension: Toward a Geometry of Higher Reality. Rudy Rucker ," The Quarterly Review of Biology 61, no. 1 (Mar., 1986): 166.; https://doi.org/10.1086/414894