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1.1 Non-directed relative positioning

In order to easily talk about the relations between constructions it’s necessary to define the non-directed relative positioning of a given place to its adjacent ones. Consider the place C, which has the coordinates (r,f,p), and its 8 adjacent places, as shown in the following figure.

mininim-figures/relative-coordinates-non-directed
TL (top left) T (top) TR (top right) L (left) C (center)
R (right) BL (bottom left), B (bottom) BR (bottom right)

Then we define the following mapping between names and coordinates:

NameCoordinates
TL(r,f - 1,p - 1)
T(r,f - 1,p)
TR(r,f - 1,p + 1)
L(r,f,p - 1)
C(r,f,p)
R(r,f,p + 1)
BL(r,f + 1,p - 1)
B(r,f + 1,p)
BR(r,f + 1,p + 1)