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134 I What Makes It Visual?<br />

forget what he’s done, so that he can see and do more—while the computer produced<br />

drawing depends on the ‘‘topological and geometric structure built up in the computer<br />

memory as a result of drawing operations.’’ This is precisely the difference between calculating<br />

visually and calculating the way Evans does with predefined constituents. And<br />

it’s what worried Wittgenstein—figures on paper don’t alter when you calculate, and if<br />

they do, you remember what they were. It’s funny how things on paper—dirty marks,<br />

shapes, and figures—bother Sutherland and Wittgenstein for the same reason: they<br />

defy calculating. Of course, there may be an advantage. I can always count on the computer<br />

drawing to behave properly according to the way it’s described. When its constituents<br />

are fixed in drawing operations, its future possibilities are circumscribed once<br />

and for all. The outcome of this is already clear in Evans’s shape<br />

And whether or not I can calculate to reflect the shape<br />

depends on how the triangle and chevron are drawn. Sutherland is correct. The difficulty<br />

in making computer drawings is their structured nature. It’s hard—no, it’s impossible—to<br />

tell what constituents to draw without foreknowledge. That’s the trick—not<br />

to need foreknowledge, so that the properties of computer drawings can alter freely to<br />

correspond with the properties of anything they’re used to describe. That’s why<br />

embedding makes a difference in design. It guarantees that shapes do what you want.<br />

There’s no structure to remember. There’s no reason for calculating to get in the way.<br />

Figures on paper and the computer drawing are the same.<br />

Herbert Simon likes the idea that shapes are represented (structured) and well<br />

behaved in computers.<br />

Since much of design, particularly architectural and engineering design, is concerned with objects<br />

or arrangements in real Euclidean two-dimensional or three-dimensional space, the representation<br />

of space and of things in space will necessarily be a central topic in a science of design. From our<br />

previous discussion of visual perception, it should be clear that ‘‘space’’ inside the head of the<br />

designer or the memory of a computer may have very different properties from a picture on paper<br />

or a three-dimensional model.<br />

The representational issues have already attracted the attention of those concerned with<br />

computer-aided design—the cooperation of human and computer in the design process. As a

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