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Figure 15
Composition table [(O_i^{m},O_j^{n}\to O_i^{m-1}O_j^{n})] corresponding to Fig. 14[link]. The objects (x or y) are the positions of the ball. The position 0 is used as a reference position. The arrows (0▹x) are in columns and they are reassembled into operators. The arrows (0▹y) are in lines and they are reassembled into operators. The composition of arrows is performed by determining (0▹x)−1 (0▹y) = (xy). The different resulting arrows are expressed by their operators. For more simplicity, the inverse of a polar operator is denoted Oim-1 = Oi-m. The composition is multivalued.

ISSN: 2053-2733
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