FOREWORD

MANY sincere workers in the field of art have realized the aesthetic poverty into which the modern world has fallen. Designers are reduced either to dig in the boneyard of dead civilizations, or to develop a purely personal style and method. The latter is rarely successful: city dwellers that we are for the most part, and self-divorced from Nature, she withholds her intimate secrets from us. Our ignorance and superficiality stand pitifully revealed.

Is there not some source, some secret spring of fresh beauty undiscovered, to satisfy our thirsty souls? Having all his life asked himself this question, the author at last undertook its quest. Such results as have up to the present rewarded his search are here set forth. Their value and importance will be determined, as all things are determined, by use and time, but this much must be admitted—they are drawn from a deep well.

The author desires to acknowledge his indebtedness to the following sources for material contained in this volume: The Fourth Dimension, by C. Howard Hinton, M. A.; Geometry of Four Dimensions, by Henry Parker Manning, Ph. D.; Observational Geometry, by William T. Campbell, A. M.; Mathematical Essays and Recreations, by Hermann Schubert;