By S. Yamamuro
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Extra resources for A Theory of Differentiation in Locally Convex Spaces / Memoirs No. 212
Left terminal shape ut and left marker um u + v with applies to the s if anc only if there is a sequence of transformations which when applied to both ut and 29 um results in and shapes ut and u~ which are subshapes of st and sm respectively. nce of transfonnations to the right marker vm of the shape rule. The shape generation process is tenninated when no shape rule in the shape grammar can be applied. generated by the grammarthat do not have any subshapes which are markers. The language of a shape grammar may be a finite or infinite set of shapes.
In SG3, arc of a circle. VT contains a single shape consisting of a 60° VM contains a single shape consisting of two sides of an equilateral triangle. The shape rules of SG3 are defined analogously to the shape rules of SG2. The initial shape of SG3 consists of six terminals arranged to form a circle and a single marker. The generation of shapes using SG3 corresponds to the generation of shapes using SG2. Figure 1-25 shows three shapes in L(SG3) . These shapes correspond to the three shapes of L(SG2) shown in Figure 1-23.
The right side of the first shape rule consists of two terminals (squares). c:::;--..... _'\ I L. ,. I ; s: Figure 1-24 The shape grammar SG3.