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IB Mathematics: Applications and Interpretation HL · 12.8: Voronoi Diagrams · 12.8.4

Adding a site: the incremental algorithm Problem set A Answers

Skills

    1. (a) D, C, B, A
    2. (b) \(y=x+2\)
    3. (c) (1, 1), (2, 4), (4.5, 6.5), (6, 3.5)
    1. (a) (6.5, 2.5): distance to E is 0.707, to A, B and C is 2.12
    2. (b) 3
    1. (a) \(y=-x+9\)
    2. (b) (3.5, 0) and (9, 0)

In context

    1. (a) (0.5, 4.5), (2, 6), (3.5, 3), (4, 4)
    2. (b) 2.50 km (to (3.5, 3))
    1. (a) A, E, B, C
    2. (b) D
    1. (a) \((\frac{9}{2}, \frac{9}{2})\)
    2. (b) \((\frac{3}{2}, \frac{3}{2})\), \((\frac{3}{2}, 6)\), \((\frac{15}{2}, 6)\)

Stretch

    1. (a) (6, 3.5), (6, 7), (7, 3), (9, 3), (9, 7)
    2. (b) (3, 2), (6, 5), (7, 2), (8, 3)
  1. B and C: the whole edge between them is inside the cell of E

jmaths.xyz · AI HL · 12.8.4 Adding a site: the incremental algorithm