The ideas in regard to time and space are those commonly current in the world until the advent of the Theory of Relativity. To a generation brought up on Einstein and Ouspensky they are bound to appear "lower dimensional." Merely to state this fact is to deal with it to the extent it needs to be dealt with. The integrity of my argument is not impaired by these new views. The one important influence that has operated to modify my opinions concerning the mathematical basis of the arts of space has been the discoveries of Mr. Jay Hambidge with regard to the practice of the Greeks in these matters, as exemplified in their temples and their ceramics, and named by him _Dynamic Symmetry_. In tracing everything back to the logarithmic spiral (which embodies the principle of extreme and mean ratios) I consider that Mr. Hambidge has made one of those generalizations which reorganizes the old knowledge and organizes the new. It would be only natural if in his immersion in his idea he overworks it, but Mr. Hambidge is a man of such intellectual integrity and thoroughness of method that he may be trusted not to warp the facts to fit his theories. The truth of the matter is that the entire field of research into the mathematics of Beauty is of such richness that wherever a man plants his metaphysical spade he is sure to come upon "pay dirt." _The_ _Beautiful Necessity_ represents the result of my own prospecting; _Dynamic Symmetry_ represents the result of his. If at any point our findings appear to conflict, it is less likely that one or the other of us is mistaken than that each is right from his own point of view. Be that as it may, I should be the last man in the world to differ from Mr. Hambidge, for if he convicted me of every conceivable error his work would still remain the greatest justification and confirmation of my fundamental contention--that art is an expression of the _world order_ and is therefore orderly, organic; subject to mathematical law, and susceptible of mathematical analysis. CLAUDE BRAGDON Rochester, N.Y. April, 1922 I THE ART OF ARCHITECTURE One of the advantages of a thorough assimilation of what may be called the theosophic idea is that it can be applied with advantage to every department of knowledge and of human activity: like the key to a cryptogram it renders clear and simple that which before seemed intricate and obscure. Let us apply this key to the subject of art, and to the art of architecture in particular, and see if by so doing we may not learn more of art than we knew before, and more of theosophy too.