Arnheim, accepting a suggestion made by James J. Gibson in his book The Perception of the Visual World (1950), says that "three-dimensional space is created by perceptual gradients." He describes these as the "gradual increase or decrease of some perceptual quality in space or time. For example, oblique parallelograms contain a gradient of location, in that the slanted figure lies at an evenly changing distance from the normal axes of the horizontal and vertical." Even a single oblique line contains a gradient of location or distance in relation to the implied horizontal and vertical axes (repeated in the sides and top and bottom of a square or rectangular format). A series of lines or shapes, wherein the elements diminish in height or width, contains a gradient of size. If the intervals of space between these elements grow narrower or wider, they too contain a gradient of size. The other gradients are those of value (light-dark gradient) and texture (smooth-rough gradient); still another pertains to sharpness/dullness or firm/fuzzy qualities.
Gradients . . . . are not dependent on anything seen in nature or the world; they pertain entirely to illusionary space, whether used to depict anything or not. The flat surface is forced to yield so that the eye may achieve order in dept . . . . "
[Harlan, Calvin. Vision & Invention, An Introduction to Art Fundamentals. Englewood Cliffs, NJ: Prentice-Hall, 1986.]
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