We may take it as a general rule that the more purely ornamental the purpose of our design, and the more abstract in form it is, the more emphatically we may carry out the principle of correspondence of line between that of the inclosing boundary and that of the design itself; and, vice versâ, as the design becomes more pictorial in its appeal and more complex and varied in its elements, the more we may combine the leading motive or principle of line with secondary ones, or with variations, since every fresh element, every new direction of line, every new form introduced, demands some kind of re-echo to bring it into relation with the other elements of the design, or parts of the composition, whatever may be its nature and purpose.
Now, if we seek further the meaning and origin of this necessity of the control of geometric lines and spaces in design, I think we shall find it in the constructive necessities of architecture: for it is certainly from architecture that we derive those typical spaces and panels the designer is so often called upon to fill.
Origin of Geometric Decorative Spaces
Lintel architecture—the Egyptian and the Greek—gave us the frieze, both continuous, as in that of the Cella of the Parthenon, or divided by triglyphs, which represented the ends of the beams of the primitive timber construction; and the interstices left between these determined the shape of the sculptured panel or slab inserted, and influenced the character of its masses and the lines of its design, which was under the necessity of harmonizing with the whole building (see illustration, p. [114]).