An Adventure in Multidimensional Space: The Art and Geometry of Polygons, Polyhedra, and Polytopes

by Kōji Miyazaki

This lavishly illustrated volume provides a strikingly visual approach to geometric shapes and transformations in 2- ,3- , and 4-dimensional space. Invoking Plato's polygons, Kepler's polyhedra, and Fuller's polytopes, the author presents, by means of hundreds of beautiful illustrations (100 of them in full color), many complex designs which may be found in nature or which may be produced by computer graphics programs. This self-contained work reveals how polygons, polyhedra, and polytopes are effective tools or hieroglyphs with which we may investigate and describe the macro, medio, and micro worlds or the multi-dimensional world without any telescope or microscope and without requiring guidance from others. Forewards by Buckminster Fuller and H. S. W. Coxeter.

112 pages, Hardcover

First published January 14, 1987

Reviews

[Randal J. Bishop · Rating 5 out of 5]

This book is for people who think architecture can be the size of space. It is a joy to read about his adventures with Buckminster Fuller and H. S. M. Coxeter.