1.1. TROPICAL HYPERSURFACES 5 x1 1 (1, 1) x2 Figure 2. 1 (0 x1) (0 x2) 5 + 2x2 (−1, −1) 5 + 2x1 (−5, −1) x1 (0, 0) 0 x2 (−1, −5) 1 + x1 + x2 Figure 3. 0 (0 x1) (0 x2) (1 x1 x2) (5 x1 x1) (5 x2 x2) 9 + 2x1 3 + x1 + x2 (−9, −3) (−5, −3) x1 (0, 0) 0 x2 1 + 2x2 (−1, −1) Figure 4. 0 (0 x1) (0 x2) (3 x1 x2) (9 x1 x1) (1 x2 x2) we consider the Newton polytope of S, ΔS := Conv(S) NR,
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