I’ve tried to demonstrate it here. You end up with straight lines because it’s always a middle point so it doesn’t curve one way or another between the two points.
If the circles had a set radius then you’d have empty space and more circley-looking spots. But since they basically expand until there’s a middle point you’ll have these straight lines.
I think I’m too stupid to understand this. How are they straight lines and not at a diameter / in a circle from any given point? It seems… wrong.
Does this animation help?
https://upload.wikimedia.org/wikipedia/commons/thumb/d/d9/Voronoi_growth_euclidean.gif/440px-Voronoi_growth_euclidean.gif
What does the separating line between two circles look like?
More… circles?
I’ve tried to demonstrate it here. You end up with straight lines because it’s always a middle point so it doesn’t curve one way or another between the two points.
If the circles had a set radius then you’d have empty space and more circley-looking spots. But since they basically expand until there’s a middle point you’ll have these straight lines.