#19383: Up-down Posets, and Dimenson Poset
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       Reporter:  kdilks             |        Owner:
           Type:  enhancement        |       Status:  new
       Priority:  major              |    Milestone:  sage-6.10
      Component:  combinatorics      |   Resolution:
       Keywords:                     |    Merged in:
        Authors:                     |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/kdilks/updowndimension19383      |  4248b4ce536dae263297152498707211867c85f1
   Dependencies:                     |     Stopgaps:
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Comment (by jmantysalo):

 Replying to [comment:7 kdilks]:

 > I don't think we should reject n=1,2 for the standard example. Just
 because they're simple and can more easily be described in other ways
 doesn't mean the definition doesn't make sense and should raise an error.

 Hmm... OK. How about `n=0`? I guess that usually the user has made a
 mistake if he or she ask for Standar example of '2*2' elements. But it is
 easily seen error.

 > The more I think about it, the more I realize the code should be a
 little more general to allow more cases. For example, we always start with
 an up step...but what if we want a fence starting with a down step? What
 if instead of wanting one down-step after every m up-steps, we want k
 down-steps after every m up-steps?

 Hmmm number two... Will interface be too complicated? There are tons of
 different posets that the user could want to get easily. Some of them are
 trivial to make by hand, like `DiamondPoset`, other not so easy like
 `TamariLattice`. But I wait to see the code.

 (I'll be mostly offline for some time. Looking reindeers from kitchen's
 window...)

--
Ticket URL: <http://trac.sagemath.org/ticket/19383#comment:8>
Sage <http://www.sagemath.org>
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