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Results tagged with mg.metric-geometry
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user 17193
Euclidean, hyperbolic, discrete, convex, coarse geometry, metric spaces, comparisons in Riemannian geometry, symmetric spaces.
5
votes
2
answers
276
views
What is the smallest diameter ring a non-convex polyhedron can pass through in 3-space?
The question is mostly in the title:
What is the smallest diameter ring a non-convex polyhedron can pass through in 3-space?
Imagine I have some non-convex polyhedron $P$, and I would like to …
- 329
10
votes
2
answers
523
views
When does every point in a polytope lie along a chord between its edges?
Consider the 3-simplex, or tetrahedron, in 3-space. Regardless of the positions of the vertices, every point in the simplex lies on a chord between two non-adjacent edges of the simplex. Or, equival …
- 329