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Results tagged with mg.metric-geometry
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user 3493
Euclidean, hyperbolic, discrete, convex, coarse geometry, metric spaces, comparisons in Riemannian geometry, symmetric spaces.
2
votes
Smallest square to wrap a cylinder
Perhaps Joseph can fill in this description with a picture.
In square with vertices A, B, C, and D in clockwise order, draw a line
from A to a point P on BC. If the length of AP is longer than the
c …
- 924
0
votes
Does every ellipse inside a tetrahedron inside a ball fit in a triangle inside the ball?
I suspect the answer is yes. Let me paint a word picture, which won't be as beautiful as Joseph O'Rourke's contribution, but may be as useful.
Consider all planes passing through the tetrahedron whi …
- 924
5
votes
find the collision of a particle with a swept triangle.
Consider the (mostly nontrivial) tetrahedron formed by the three moving points and P. There is a determinantal formula for the volume of the tetrahedron, as well as one for the area of the triangle f …
- 924
0
votes
Three half circles on the plane may not meet nicely
This is off the top of my head; please take it skeptically and check all assumptions, visible and hidden.
Focus on the line segment and its end points which I call p and q for a sample H. I have con …
- 924