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Results tagged with mg.metric-geometry
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user 51778
Euclidean, hyperbolic, discrete, convex, coarse geometry, metric spaces, comparisons in Riemannian geometry, symmetric spaces.
5
votes
2
answers
377
views
Light inside a polyhedron
I have two questions the same as Mostafa's Question:
Visibility of vertices in polyhedra
Suppose $P$ is a closed polyhedron in space (i.e. a union of polygons which is homeomorphic to $S^2$) and $X$ …
- 628
2
votes
2
answers
162
views
Maximum possible number of similar three-colored triangles
I want to maximize the number of similar triangles with vertices from three fixed sets, one vertex from each set. For example, if you fix two points $X$, $Y$ (i.e. two sets with only one member), then …
- 628
7
votes
Accepted
Dropping altitudes to achieve nonobtuse planar triangulations: finite or infinite?
There is an example for a triangulation with just one obtuse triangle in each step.
In the image, only triangle $A_1A_2O$ is obtuse. With your algorithm we draw altitudes and reach $H_1,H_2,H_3,...$ …
- 628