#9664: Graphical representation of fans
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Reporter: vbraun | Owner: mhampton
Type: enhancement | Status: positive_review
Priority: major | Milestone: sage-4.6
Component: geometry | Keywords:
Author: Andrey Novoseltsev | Upstream: N/A
Reviewer: Volker Braun | Merged:
Work_issues: |
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Comment(by novoselt):
Looks pretty, but I cannot say that it really helps me to understand the
structure of the fan which seems to be not extremely complicated. I am
also more concerned about jmol plots since I didn't master Tachyon to any
extent.
For 3-d fans I think current plots will be quite clear if we add labels
for 3-d cones and hide names of their facets. Then "missing" 3-cones will
be easy to detect. Of course, one of the reasons I have not think of it
earlier is that mostly I work with complete fans and there is no confusion
anyway.
For 4-d I am more in favor of "orange peel" as Volker has suggested. As I
understand he means taking the intersection of a 4-d fan with a 3-d sphere
and then plotting some kind of a projection from this sphere to R^3^.
Another option is the dual graph, I wrote such code for a 3-d polyhedral
complex in 5-d and it was useful. For non-full dimensional cones one can
also just plot them in the basis of the subspace.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9664#comment:13>
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