#8670: Provide projections methods for word paths
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Reporter: slabbe | Owner: slabbe
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-4.6.2
Component: combinatorics | Keywords:
Author: | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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Description changed by slabbe:
Old description:
> Nice mathematical objects can be obtained when projecting appropriately a
> discrete path (Rauzy fractals for instance).
>
> This patch introduces 3 projection functions for word path. It also adds
> 1 function to `WordMorphism` and 2 matrix rotation functions to
> `sage/plot/plot3d/transforms.pyx`.
>
> The first 1000 points of the Rauzy fractal :
>
> {{{
> sage: s = WordMorphism('1->12,2->13,3->1')
> sage: D = s.fixed_point('1')
> sage: v = s.pisot_vector()
> sage: P = WordPaths('123',[(1,0,0),(0,1,0),(0,0,1)])
> sage: w = P(D[:1000])
> sage: w.projected_plot(v)
> }}}
> See more examples in doctests.
New description:
Nice mathematical objects can be obtained when projecting appropriately a
discrete path (Rauzy fractals for instance).
This patch introduces 3 projection functions for word path. It also adds 2
functions to `WordMorphism` and 2 matrix rotation functions to
`sage/matrix/constructor.py`.
The first 1000 points of the Rauzy fractal :
{{{
sage: s = WordMorphism('1->12,2->13,3->1')
sage: D = s.fixed_point('1')
sage: v = s.pisot_vector()
sage: P = WordPaths('123',[(1,0,0),(0,1,0),(0,0,1)])
sage: w = P(D[:1000])
sage: w.projected_plot(v)
}}}
See more examples in doctests.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8670#comment:10>
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