I want to create uniformly distributed disks(dots) in a specific rectangular area.
- the disk radii should be uniformly between $a$ and $b$ ($0<a<b$); there is no interaction between any two disks;
- the cover ratio $r$ is defined as the ratio of total area of all dots to the area of the rectangle.
- $a$ and $b$ decreases(increases?) accordingly with the increase of $r$
How to establish a mathematical model and obtain the desired graphs?
There is basically no criterion except for the
visual effects of the example figures below; I have thought of using
VoronoiMesh function but the visual effects may be different.
So constructive proposals or codes which generates similar visual effects will be accepted.
Here are example figures: