In these 22 winning and sometime winsome essays, contributors describe how the fourth dimension works and what it does to mathematics, including a brief dip into its own absurdities. Topics include non-Euclidean geometry in the fourth dimension, space and hyperspace, the fourth dimension algebraically considered, the ascending state of dimensions, possible measurements and forms in a system of four dimensions, and several articles speculating on what happens beyond length, breadth and depth. This reprint of the 1910 edition reminds we have come far, but we still have not yet crossed over fully into the fourth dimension. Annotation 2005 Book News, Inc., Portland, OR (booknews.com)