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Results tagged with mg.metric-geometry
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user 468
Euclidean, hyperbolic, discrete, convex, coarse geometry, metric spaces, comparisons in Riemannian geometry, symmetric spaces.
4
votes
Accepted
Hales's fan associated with a polyhedron
The fan Hales is using is called the "face fan" of the polytope.
In toric varieties, one mainly considers the outer normal fan of a polytope, which has a ray for each facet (perpendicular to it). …
- 6,327
1
vote
College (Euclidean) geometry textbook recommendations
I really like Isaacs' "Geometry for College Students", which I have taught from several times. It is proof-focussed but not pedantic. It's also pretty cheap ($62).
http://www.ams.org/bookstore-ge …
6
votes
Side-Angle-Side Congruence and the Parallel Postulate
You don't need the parallel postulate, but you are right to be a bit worried about triangle congruences following from Euclid's axioms. The link provided by Michael Lugo explains the issue: Euclid's …
- 6,327
8
votes
Accepted
Break polyhedron into tetrahedron
If I understand your question correctly, you're saying that the given information is the face structure of a 3-dimensional convex polytope, and you would like a subdivision of the polytope into tetrah …
- 6,327