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Finite or discrete collections of geometric objects. Packings, tilings, polyhedra, polytopes, intersection, arrangements, rigidity.

2 votes

Diameter of random segment intersection graph?

Here is a way of thinking. It may turn out to be misleading, but it may also suggest a way to think properly about this problem. Lets take a random instance of a matching and reconstruct it edge by …
The Masked Avenger's user avatar
2 votes

Inside-out polygonal dissections

Riffing off the tiling comment to another answer, imagine a square penny packing of circles, and then translate the tiling so that a circle is in the center of four other circles. Now replace each of …
The Masked Avenger's user avatar
3 votes

Wait time to grid network disconnection with failing edges

Instead of answering the question, I will suggest some modifications that should make the model easier to analyze. I will denote the number of vertices as v, and the number of edges as dv for the d-d …
The Masked Avenger's user avatar