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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 B Answers
Skills
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- (a) C, B, A, D
- (b) \(y=x+1\)
- (c) (1.5, 2.5), (4, 5), (4.5, 1), (7, 6)
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- (a) (5, 3.5): distance to E is 0.500, to A, B and C is 2.50
- (b) 3
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- (a) \(y=3\)
- (b) (9, 3) and (0, 7)
In context
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- (a) (0.5, 3.5), (2, 2), (3.5, 5), (4, 4)
- (b) 2.50 km (to (3.5, 5))
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- (a) D, E, C, B
- (b) A
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- (a) \((3, 2)\)
- (b) \((\frac{3}{2}, \frac{7}{2})\), \((3, \frac{1}{2})\), \((\frac{9}{2}, \frac{7}{2})\)
Stretch
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- (a) (4, 4.5), (4, 7), (5, 4), (9, 4), (9, 7)
- (b) (1, 3), (4, 6), (5, 3), (6, 4)
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B and D: the whole edge between them is inside the cell of E
jmaths.xyz · AI HL · 12.8.4 Adding a site: the incremental algorithm