Voronoi diagrams
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Voronoi cell definition?
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All Flashcards in Topic 3.6
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3.6.14 cards
Voronoi cell definition?
Set of points closer to one site than any other site.
Nearest-site region.
How are Voronoi boundaries constructed?
Using perpendicular bisectors of neighbouring sites.
Edges are bisector segments.
What is a Voronoi vertex?
Point equidistant from 3 or more sites.
Intersection of boundaries.
How to decide point membership in Voronoi cells?
Compare distances from the point to each site.
Smallest distance wins.
3.6.24 cards
What changes when adding a new Voronoi site?
Only local neighbouring cells around insertion region change.
Not every cell is redrawn.
Largest empty circle center in Voronoi context?
Usually at a Voronoi vertex.
It maximizes minimum distance to sites.
Real-world use of Voronoi diagrams?
Service zones (hospitals, towers, warehouses).
Each zone served by nearest facility.
IB exam instruction for Voronoi updates?
State which zones change and justify using nearest-distance logic.
Show geometric reasoning, not only drawing.
Topic 3.6 study notes
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