Skip to main content
Mathematica

You are not logged in. Your edit will be placed in a queue until it is peer reviewed.

We welcome edits that make the post easier to understand and more valuable for readers. Because community members review edits, please try to make the post substantially better than how you found it, for example, by fixing grammar or adding additional resources and hyperlinks.

Required fields*

3
  • 5
    $\begingroup$ There is this very nice answer by belisarius that answers your question. Since he's also active here, I'll wait for him to post that answer here, but do utilize that in the mean time for your work. $\endgroup$ Commented Apr 5, 2012 at 19:52
  • $\begingroup$ @R.M That answer of mine was for a more difficult requirement, because the OP there wanted a final result looking like a "natural" tissue. I think the current answers are ok for this question $\endgroup$ Commented Apr 6, 2012 at 1:06
  • 1
    $\begingroup$ Re the edit: There is a natural vector-based approach. It relies on the fact that each Voronoi cell "belongs" to a specific point. (This is not the case for higher-order Voronoi diagrams.) Therefore, intersecting the disk of radius $r$ around each point $i$ with that point's Voronoi cell produces the desired collection of (non-overlapping) polygons at stage $r$ in the animation. Mathematica is not well suited to computing and displaying intersections of disks and polygons. $\endgroup$ Commented Apr 6, 2012 at 16:05