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Results tagged with geometry
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user 63584
Questions on the application of Mathematica to geometric problems. You might also consider adding the [graphics] tag, if appropriate.
3
votes
Accepted
How to find the area of circle inside the rectangle?
Conversion of @kglr's and @cvgmt's comments into a community wiki answer (edited slightly for clarity):
@cvgmt:
rectangle = Rectangle[{1, 1}, {2, 2}];
circle = Disk[{0, 0}, 2];
Area[RegionIntersection …
2
votes
Accepted
Calculating distance between a set of random points in hyperbolic space
One can both solve the geodesic equations and integrate to find the length of the geodesic numerically. There are packages for working with tensors (notably xAct), but here's a quick-and-dirty hacked- …
- 9,080
1
vote
Plane embedded in Non-Euclidean spacetime
Here's the simple approach in case it helps (not a full answer), noting that we can phrase the constraint $u=x$ in terms of $t$ by substituting $x$ in for $u$ in $t = u + \int \frac{dz}{f(u,z)}$:
\[Ep …
- 9,080
8
votes
Accepted
How to combine several surfaces into a solid and compute its volume?
This is a little tricky, and I'm not sure why BoundaryMesh didn't work in the following. (We have to resort to BoundaryMeshRegion instead.) But here's what we do:
Discretize the spline with Discretiz …
- 9,080