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Results tagged with discrete-geometry
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user 70313
Finite or discrete collections of geometric objects. Packings, tilings, polyhedra, polytopes, intersection, arrangements, rigidity.
1
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Blowing up spheres in a face centered cubic (fcc) packing geometry just enough to cover the ...
Although not directly answering the question, the discussion here highlights connections between the question of $R_v$ and the Voronoi cell of this lattice. In short, it turns out that $R_v$ is the m …
- 553
1
vote
Diameter of random segment intersection graph?
I don't have sufficient privileges to add a comment, but I wanted to ask if your evidence is consistent with the conclusion that the diameter of $G$ increases logarithmically with $n$. That would hav …
- 553
10
votes
0
answers
413
views
Determining convexity of a polygon from its Fourier coefficients
Consider an $n$-sided polygonal curve in the plane, represented by an ordered set of points $(x_0, x_1, \ldots, x_{n-1})$; line segments connect consecutive points and also $x_{n-1}$ to $x_0$. It is …
- 553