The point, line, plane and solid objects represent the first three dimensions, but a kind of reversal of space is involved in the ascent to a fourth dimension. Steiner leads us to the brink of this new perspective as nearly as it can be done with words, diagrams, analogies, and examples of many kinds. In doing so, he continues his lifelong project of demonstrating that our objective, everyday thinking is the lowest rung of a ladder that reaches up to literally infinite heights.
The talks in this series and the selections from the question-and-answer sessions on many mathematical topics over the years are translated into English for the first time in "The Fourth Dimension." They bring us to tantalizing new horizons of awareness where Steiner hoped to lead his listeners:
Topics include:

• The relationship between geometric studies and developing direct perception of spiritual realities
• How to construct a fourth-dimensional hypercube
• The six dimensions of the self-aware human being
• Problems with the theory of relativity
• The Trinity and angelic hierarchies and their relationship to physical space
• The dimensional aspect of the spiritual being encountered by Moses on Mt. Sinai "Cover Image credit: Light refracted through a small sample of water while under vibration. From a series of experiments in Cymatics, by Dr. Hans Jenny. Photo from the newly republished edition of Cymatics, vols. I & II, used by permission. (c) 2001 MACROmedia""