Shape as Memory Storage - Ambient Intelligence for Scientific Discovery - page 87

Fig. 7. The inferred histories on the shapes with 4 extrema.

Fig. 8. The inferred histories on the shapes with 6 extrema.

shapes in Figs 7-9, it becomes clear the four extrema types correspond to four
English terms that people use to describe processes . Table 1 gives the correspon-
dence:

Table 1. Correspondence between extremum type and process type.

EXTREMUM TYPE ←→ PROCESS TYPE

M +

←→ protrusion

m −

←→ indentation

m +

←→ squashing

M −

←→ resistance

What we have done so far is to lay the ground-work of the Process Grammar.
What the grammar will do is show the way each of these shapes deforms into
each other. It turns out that there are only six things that can happen as one
shape transforms into another: i.e., six phase-transitions . These will be the six
rules of the grammar. Let us now show what they are.