The tracery of the great roses, high up in the façades of the cathedrals of Paris and of Amiens, illustrate Radiation, in the one case masculine: straight, angular, direct; in the feminine: curved, flowing, sinuous. The same _Beautiful Necessity_ determined the characteristics of much of the ornament of widely separated styles and periods: the Egyptian lotus, the Greek honeysuckle, the Roman acanthus, Gothic leaf work--to snatch at random four blossoms from the sheaf of time. The radial principle still inherent in the debased ornament of the late Renaissance gives that ornament a unity, a coherence, and a kind of beauty all its own (Illustration 35). [Illustration 33] [Illustration 34] Such are a few of the more obvious laws of natural beauty and their application to the art of architecture. The list is by no means exhausted, but it is not the multiplicity and diversity of these laws which is important to keep in mind, so much as their relatedness and coördination, for they are but different aspects of the One Law, that whereby the Logos manifests in time and space. A brief recapitulation will serve to make this correlation plain, and at the same time fix what has been written more firmly in the reader's mind. [Illustration 35] [Illustration 36] First comes the law of _Unity_; then, since every unit is in its essence twofold, there is the law of _Polarity_; but this duality is not static but dynamic, the two parts acting and reacting upon one another to produce a third--hence the law of _Trinity_. Given this third term, and the innumerable combinations made possible by its relations to and reactions upon the original pair, the law of _Multiplicity in Unity_ naturally follows, as does the law of _Consonance_, or repetition, since the primal process of differentiation tends to repeat itself, and the original combinations to reappear--but to reappear in changed form, hence the law of _Diversity in Monotony_. The law of _Balance_ is seen to be but a modification of the law of Polarity, and since all things are waxing and waning, there is the law whereby they wax and wane, that of _Rhythmic Change_. _Radiation_ rediscovers and reaffirms, even in the utmost complexity, that essential and fundamental unity from which complexity was wrought.