#12454: A draw_rauzy_fractal method for WordMorphism
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Reporter: tjolivet |
Owner: sage-combinat
Type: enhancement |
Status: needs_review
Priority: major |
Milestone: sage-5.1
Component: combinatorics |
Resolution:
Keywords: rauzy fractal, substitution, word morphism, lounge | Work
issues:
Report Upstream: N/A |
Reviewers: vdelecroix
Authors: tjolivet |
Merged in:
Dependencies: |
Stopgaps:
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Description changed by tjolivet:
Old description:
> '''New:'''
> - Now there are two distinct methods ``rauzy_fractal_plot`` and
> ``rauzy_fractal_points``.
> - Translated copies of the fractal and its pieces can be plotted,
> allowing all kinds of tiling plots.
> - Error message in the case where the eigenvalue is of degree one.
> - New patch for version 5.0.1 (but doesn't apply with the bot for some
> reason).
> - A few other things.
>
> From the docstring:
>
> Returns a plot of the Rauzy fractal associated with a substitution.
> The substitution does not have to be irreducible.
> The definition used can be found found for example in [1].
> The usual definition of a Rauzy fractal requires that
> its dominant eigenvalue is a Pisot number. The present method
> doesn't require this, allowing to plot some interesting pictures
> in the non-Pisot case (see the examples below).
>
> Plots with less than 100,000 points take a few seconds,
> and several millions of points can be plotted in reasonable time.
New description:
'''New:'''
- 2012-07-05: added basis projection plotting
- Now there are two distinct methods ``rauzy_fractal_plot`` and
``rauzy_fractal_points``.
- Translated copies of the fractal and its pieces can be plotted,
allowing all kinds of tiling plots.
- Error message in the case where the eigenvalue is of degree one.
- New patch for version 5.0.1 (but doesn't apply with the bot for some
reason).
- A few other things.
From the docstring:
Returns a plot of the Rauzy fractal associated with a substitution.
The substitution does not have to be irreducible.
The definition used can be found found for example in [1].
The usual definition of a Rauzy fractal requires that
its dominant eigenvalue is a Pisot number. The present method
doesn't require this, allowing to plot some interesting pictures
in the non-Pisot case (see the examples below).
Plots with less than 100,000 points take a few seconds,
and several millions of points can be plotted in reasonable time.
--
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12454#comment:17>
Sage <http://www.sagemath.org>
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and MATLAB
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