#14789: Implement hyperplane arrangements
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Reporter: kcrisman | Owner: sage-combinat
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-5.11
Component: combinatorics | Resolution:
Keywords: | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Dependencies:
Stopgaps: |
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Comment (by dimpase):
Replying to [comment:19 dperkinson]:
> A hyperplane arrangement is a *set* of hyperplanes.
This needs to be said in the docs then. Indeed, currently one sees:
{{{
String Form:<class
'sage.geometry.hyperplane_arrangement.HyperplaneArrangement'>
File: /usr/local/src/sage/sage-5.11.beta3/local/lib/python2.7/site-
packages/sage/geometry/hyperplane_arrangement.py
Docstring:
The argument "A" is normally a list of hyperplanes or a list of
lists representing hyperplanes...
}}}
> Could you be more precise about the other type of data that should
determine a hyperplane arrangement? The input would be a set of points.
From this set, how does one create a hyperplane arrangement?
Just take all the hyperplanes one obtains as affine spans of d-subsets of
these points in d-dimensional space.
I have also seen papers talking about the arrangement associated with a
triangulation (there one takes the facets of the
simplices in the triangulation as hyperplanes).
--
Ticket URL: <http://trac.sagemath.org/ticket/14789#comment:21>
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