#15107: Projective Plane designs
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Reporter: ncohen | Owner:
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-5.12
Component: combinatorics | Resolution:
Keywords: | Merged in:
Authors: Nathann Cohen | Reviewers:
Report Upstream: N/A | Work issues:
Branch: u/ncohen/15107 | Commit:
Dependencies: | Stopgaps:
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Comment (by dimpase):
http://en.wikipedia.org/wiki/Desargues%27_theorem is a geometric criterion
satisfied by projective planes obtained from the 3-dimensional vector
spaces over division rings; every finite division ring is a field, so in
the finite case every such plane is Pappian, see
http://en.wikipedia.org/wiki/Pappus%27s_hexagon_theorem.
Keeping the current name sucks, as adding more examples would force you to
rename stuff.
So, please, call it, as you prefer: Classical, or Pappian, or
Desarguesian...
As far as `ProjectivePlanes` class would go, you can do `cardinality()` up
to n=10...
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Ticket URL: <http://trac.sagemath.org/ticket/15107#comment:8>
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