Unit 1, Lesson 9
Speedy Delivery
Geometry
9.1
Warm-up
A company has two store locations. They offer delivery services for their product. Divide the map into two regions so the computer system knows which store to direct a delivery order to.
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A company has two store locations. They offer delivery services for their product. Divide the map into two regions so the computer system knows which store to direct a delivery order to.
Here is a map of a square city with 3 locations of the same store.
Now a fourth store opens. Partition the city again.
A tessellation is an arrangement of figures that covers the entire plane without gaps or overlaps. A simple example is a square grid. So that means graph paper is a tessellation. Here is another tessellation made of quadrilaterals. Can you see how repeating this pattern could cover the entire plane?
One way to draw a new tessellation is to decompose the plane into regions that are closest to each vertex. This method uses perpendicular bisectors and is called a Voronoi diagram. It is also a tessellation. What would this pattern look like when it is extended to cover the entire plane?