#9439: hyperbolic geometry
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Reporter: vdelecroix |
Owner: vdelecroix
Type: enhancement |
Status: new
Priority: major |
Milestone: sage-5.4
Component: geometry |
Resolution:
Keywords: hyperbolic geometry, Poincare disc, upper half plane, sd35 |
Work issues:
Report Upstream: N/A |
Reviewers: Johan Bosman
Authors: Vincent Delecroix, Martin Raum |
Merged in:
Dependencies: |
Stopgaps:
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Comment (by glaun):
I have a working implementation of hyperbolic two-space in sage that
includes the upper half plane, Poincare disk, Klein disk, and hyperboloid
model. For each model, geodesics, points, and isometry groups are
implemented.
Conversion between each model to another is implemented*, as are a number
of useful calculation routines. For example, geodesics can compute the
corresponding reflection, two geodesics can compute their common
perpendiculars, isometries can factor themselves into products of
reflections.
The code originated as a series of Mathematica notebooks from Bill
Goldman's lab at UMD. We had some students port it to a sage script,
which was then fleshed out. I have refrained from publishing it here
because I'm completely refactoring into something resembling readable
code. It's taken me a few month longer than I thought it would to
refactor, so I wanted to write a note here so that efforts aren't
redoubled.
Is there a best course of action as far as posting code goes? I think
that merging the patches posted here and my code won't be too bad. Should
I finish refactoring my code first, and then post it? Should I post the
original script? In the original code, there are lots of test and all
tests pass, so it's usable. Should I post the bit of refactoring I've
done so far?
*Actually, not quite. I don't have a great way to go from SO(2,1) to
SL(2,R). So this makes converting from the hyperboloid model to the other
models somewhat tricky.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9439#comment:12>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
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