#14789: Implement hyperplane arrangements
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       Reporter:  kcrisman       |        Owner:  sage-combinat
           Type:  enhancement    |       Status:  needs_info
       Priority:  major          |    Milestone:  sage-5.13
      Component:  combinatorics  |   Resolution:
       Keywords:                 |    Merged in:
        Authors:                 |    Reviewers:
Report Upstream:  N/A            |  Work issues:
         Branch:                 |       Commit:
   Dependencies:                 |     Stopgaps:
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Comment (by vbraun):

 I'm working on making (d,a,b,c) mean a*x+b*y+c*z+d=0. So the sign is
 expected. And the order as well as the sign matches the notation used for
 polyhedra. If you want to avoid ambiguity then list/tuple plus scalar also
 define a hyperplane::
 {{{
 sage: H.<x,y> = HyperplaneArrangements(QQ)
 sage: H(x, y, x+y-1)
 Arrangement <y | x | x + y - 1>
 sage: H([0,1,0], [0,0,1], [-1,1,1])
 Arrangement <y | x | x + y - 1>
 sage: H([(1,1),0], [(2,3),-1], [(4,5),3])
 Arrangement <x + y | 2*x + 3*y - 1 | 4*x + 5*y + 3>
 }}}

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Ticket URL: <http://trac.sagemath.org/ticket/14789#comment:40>
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