Voronoi Diagram

Last updated almost 5 years ago

3 questions

Note from the author:

Aligns with IB Applications and Interpretations

Suppose a city has 3 ballot drop-off locations, as shown by points A, B, and C. Many voters in this city do not have a car, so they will likely walk or use public transportation to get to the drop-off location closest to their home.

Draw a Voronoi diagram to model this. (Try to be precise when drawing the boundary lines by marking some clear points.) List the equation of each boundary line in the white bar below.

Voronoi Diagram

Last updated almost 5 years ago

3 questions

Note from the author:

Aligns with IB Applications and Interpretations

Suppose a city has 3 ballot drop-off locations, as shown by points A, B, and C. Many voters in this city do not have a car, so they will likely walk or use public transportation to get to the drop-off location closest to their home.

Draw a Voronoi diagram to model this. (Try to be precise when drawing the boundary lines by marking some clear points.) List the equation of each boundary line in the white bar below.

Suppose someone has never heard of Voronoi diagrams. Explain to them what your diagram is showing in the context of this prompt. Then consider the specific examples of where someone who lives at (3, 8) would drop off their ballot vs. someone who lives at (7, 5).

A political analyst claims that the drop-off locations were not placed fairly in this city, and that there was intent to deter the primarily lower-income Hispanic community that resides in the southern part of the city from voting. From a mathematical perspective, do you support or refute this claim? Why?