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2.2 Directed relative positioning
The concept of directed relative positioning, necessary to easily describe the relations between constructions and the kid is analogous to the already defined concept of non-directed relative positioning, used to describe relations between constructions. Consider the kid’s place C, which has the coordinates (r,f,p), its 8 adjacent places and the direction the kid is facing, as shown in the following two figures.
TF (top front) T (top) TB (top back) F (front) C (center)BA (back) BF (bottom front), B (bottom) BB (bottom back)
Then we define the following mapping between names and coordinates:
| Left | Right | Coordinates |
|---|---|---|
| TF | TB | (r,f - 1,p - 1) |
| T | T | (r,f - 1,p) |
| TB | TF | (r,f - 1,p + 1) |
| F | BA | (r,f,p - 1) |
| C | C | (r,f,p) |
| BA | F | (r,f,p + 1) |
| BF | BB | (r,f + 1,p - 1) |
| B | B | (r,f + 1,p) |
| BB | BF | (r,f + 1,p + 1) |