ELI5: Explain Like I'm 5

Variation diminishing property of Bézier curves

Bezier curves are like special lines that are shaped like a curved line instead of just a straight line. They can be used to make shapes and patterns, like a road sign or a logo.

The variation diminishing property of Bezier curves means that if you move two points of the curve very close together, the curve won't change very much. It will stay the same shape and not get too different. It's like the bezier curve doesn't like drastic changes and wants to stay the same.