#11302: Make it easier to construct a fan from a triangulation
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Reporter: vbraun | Owner: mhampton
Type: enhancement | Status: positive_review
Priority: major | Milestone: sage-4.7.1
Component: geometry | Keywords:
Work_issues: | Upstream: N/A
Reviewer: Andrey Novoseltsev | Author: Volker Braun
Merged: | Dependencies:
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Changes (by vbraun):
* status: needs_review => positive_review
Old description:
> A common step in toric geometry is to construct the fan from some
> triangulation. This patch adds a `fan()` method to the triangulation
> class, so you can write:
> {{{
> sage: pc = PointConfiguration([(0,0), (1,0), (0,1), (-1,-1)], star=0,
> fine=True)
> sage: triangulation = pc.triangulate()
> sage: fan = triangulation.fan(); fan
> Rational polyhedral fan in 2-d lattice N
> sage: fan.is_equivalent( toric_varieties.P2().fan() )
> True
> }}}
New description:
A common step in toric geometry is to construct the fan from some
triangulation. This patch adds a `fan()` method to the triangulation
class, so you can write:
{{{
sage: pc = PointConfiguration([(0,0), (1,0), (0,1), (-1,-1)], star=0,
fine=True)
sage: triangulation = pc.triangulate()
sage: fan = triangulation.fan(); fan
Rational polyhedral fan in 2-d lattice N
sage: fan.is_equivalent( toric_varieties.P2().fan() )
True
}}}
Apply:
* [attachment:trac_11302_fan_of_a_triangulation.patch]
* [attachment:trac_11302_reviewer.patch]
--
Comment:
Oops I added the `p.set_engine('internal')` to the doctests at the end but
then forgot to check that they work. Thanks for catching it :-)
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11302#comment:5>
Sage <http://www.sagemath.org>
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