Lawrence Edwards researched and taught projective geometry for more than 40 years. Here, he presents a clear and artistic understanding of the intriguing qualities of this geometry. Illustrated with over 200 instructive diagrams and exercises, this book will reveal the secrets of space to those who work through them. It is also a valuable resource for Steiner-Waldorf teachers.

Projective geometry formalizes a central principle of perspective art—that parallel lines meet at infinity and, therefore, should be drawn that way. Essentially, projective geometry may be viewed as an extension of Euclidean geometry—one in which the “direction” of each line is subsumed within the line as an extra “point,” and in which a “horizon” of directions corresponding to coplanar lines is regarded as a “line.” Thus, two parallel lines will meet on a horizon because they possess the same direction.

In the spirit of projective geometry’s origins in synthetic geometry, some mathematicians have investigated projective geometry as a useful means to describe natural phenomena. The first research in this direction was stimulated by a suggestion from the philosopher and spiritual teacher Rudolf Steiner.

Available from Steiner Books, Rudolf Steiner College Bookstore, Waldorf Books, Waldorf Education in Canada