:orphan:

*******
Gallery
*******

This gallery presents a showcase of the possibilities of fractalshades.
The images are auto-generated from the examples source code, to keep both the
running time and the size of the documentation acceptable we limit the images
quality here. Download and run the file with higher quality !

(Click on an image to see the source code)





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    <div class="sphx-glr-thumbnails">


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    </div>

Batch mode gallery
==================




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    <div class="sphx-glr-thumbnails">


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    <div class="sphx-glr-thumbcontainer" tooltip="This basic example shows how to create a color layer, displaying the  &quot;continuous iteration num...">

.. only:: html

  .. image:: /examples/batch_mode/images/thumb/sphx_glr_01-full_basic_thumb.png
    :alt:

  :ref:`sphx_glr_examples_batch_mode_01-full_basic.py`

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      <div class="sphx-glr-thumbnail-title">01 - Full Mandelbrot basic example</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="This example shows one of the ways to plot fieldlines: here the fieldlines  values are used to ...">

.. only:: html

  .. image:: /examples/batch_mode/images/thumb/sphx_glr_02-bulb_fieldlines1_thumb.png
    :alt:

  :ref:`sphx_glr_examples_batch_mode_02-bulb_fieldlines1.py`

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      <div class="sphx-glr-thumbnail-title">02 - Bulb fieldlines example "tint_or_shade"</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="This example shows one of the ways to plot fieldlines: here the fieldlines  values are used to ...">

.. only:: html

  .. image:: /examples/batch_mode/images/thumb/sphx_glr_03-bulb_fieldlines2_thumb.png
    :alt:

  :ref:`sphx_glr_examples_batch_mode_03-bulb_fieldlines2.py`

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      <div class="sphx-glr-thumbnail-title">03 - Bulb fieldlines example "twinfield"</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="This example shows how to create a normal map layer, and link it to a base color layer to enabl...">

.. only:: html

  .. image:: /examples/batch_mode/images/thumb/sphx_glr_04-seahorse_shaded_thumb.png
    :alt:

  :ref:`sphx_glr_examples_batch_mode_04-seahorse_shaded.py`

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      <div class="sphx-glr-thumbnail-title">04 - Seahorse shaded example</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="This example shows how to create a normal map layer, and link it to a base color layer to enabl...">

.. only:: html

  .. image:: /examples/batch_mode/images/thumb/sphx_glr_05-seahorse_shaded_colored_thumb.png
    :alt:

  :ref:`sphx_glr_examples_batch_mode_05-seahorse_shaded_colored.py`

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      <div class="sphx-glr-thumbnail-title">05 - Seahorse shaded and colored example</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="This example shows how to use several layers to plot both the divergent and convergent part of ...">

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  .. image:: /examples/batch_mode/images/thumb/sphx_glr_06-seahorse_interior_thumb.png
    :alt:

  :ref:`sphx_glr_examples_batch_mode_06-seahorse_interior.py`

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      <div class="sphx-glr-thumbnail-title">06 - Seahorse interior example</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="This example shows how to create a color layer, displaying the  distance estimation for Mandelb...">

.. only:: html

  .. image:: /examples/batch_mode/images/thumb/sphx_glr_07-seahorse_DEM_thumb.png
    :alt:

  :ref:`sphx_glr_examples_batch_mode_07-seahorse_DEM.py`

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      <div class="sphx-glr-thumbnail-title">07 - Seahorse DEM example</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="This example shows how to create a color layer, displaying the  distance estimation for Mandelb...">

.. only:: html

  .. image:: /examples/batch_mode/images/thumb/sphx_glr_08-run_perturb_DEM_thumb.png
    :alt:

  :ref:`sphx_glr_examples_batch_mode_08-run_perturb_DEM.py`

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      <div class="sphx-glr-thumbnail-title">08 - DEM example with perturbation</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="This example shows how to create a color layer which displays a  distance estimation from the M...">

.. only:: html

  .. image:: /examples/batch_mode/images/thumb/sphx_glr_09-run_flake_DEM_thumb.png
    :alt:

  :ref:`sphx_glr_examples_batch_mode_09-run_flake_DEM.py`

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      <div class="sphx-glr-thumbnail-title">09 - A deeper DEM example</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Example plot a double-embedded Julia set in mandelbrot power-2">

.. only:: html

  .. image:: /examples/batch_mode/images/thumb/sphx_glr_10-double_embedded_julia_thumb.png
    :alt:

  :ref:`sphx_glr_examples_batch_mode_10-double_embedded_julia.py`

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      <div class="sphx-glr-thumbnail-title">10 - Double embedded Julia set</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="This example shows the kind of structure that occur very deep in the Mandelbrot set [#f2]_. The...">

.. only:: html

  .. image:: /examples/batch_mode/images/thumb/sphx_glr_11-run_perturbdeep_thumb.png
    :alt:

  :ref:`sphx_glr_examples_batch_mode_11-run_perturbdeep.py`

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      <div class="sphx-glr-thumbnail-title">11- Ultra-deep embedded Julia set</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Example plot of a deep-zoom inside the Burning Ship set (power-2).">

.. only:: html

  .. image:: /examples/batch_mode/images/thumb/sphx_glr_12-burning_ship_deep_thumb.png
    :alt:

  :ref:`sphx_glr_examples_batch_mode_12-burning_ship_deep.py`

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      <div class="sphx-glr-thumbnail-title">12 - Burning Ship deep zoom</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Plotting of a distance estimation for the Burning ship (power-2). This zoom is on the structure...">

.. only:: html

  .. image:: /examples/batch_mode/images/thumb/sphx_glr_13-burning_ship_thumb.png
    :alt:

  :ref:`sphx_glr_examples_batch_mode_13-burning_ship.py`

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      <div class="sphx-glr-thumbnail-title">13 - Burning ship DEM</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Plotting of a distance estimation for the Burning ship (power-2). This zoom is deeper, featurin...">

.. only:: html

  .. image:: /examples/batch_mode/images/thumb/sphx_glr_14-burning_ship-deeper_DEM_thumb.png
    :alt:

  :ref:`sphx_glr_examples_batch_mode_14-burning_ship-deeper_DEM.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">14 - Burning ship deeper DEM</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="A quite deep structure (embedded Julia set) in the Burning Ship fractal, the total width of thi...">

.. only:: html

  .. image:: /examples/batch_mode/images/thumb/sphx_glr_15-burning_ship-deepJulia_DEM_thumb.png
    :alt:

  :ref:`sphx_glr_examples_batch_mode_15-burning_ship-deepJulia_DEM.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">15 - Burning Ship ultra-deep embedded Julia set</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Coloring based on attracting cycle order and attractivity. This zoom is quite shallow however a...">

.. only:: html

  .. image:: /examples/batch_mode/images/thumb/sphx_glr_16-tetration_spring_thumb.png
    :alt:

  :ref:`sphx_glr_examples_batch_mode_16-tetration_spring.py`

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      <div class="sphx-glr-thumbnail-title">16 - Tetration (power tower) zoom: "Spring"</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="This variant of the Burning Ship is interesting for the variety of its shapes. Here some decora...">

.. only:: html

  .. image:: /examples/batch_mode/images/thumb/sphx_glr_17-perpendicular_burning_ship_DEM_thumb.png
    :alt:

  :ref:`sphx_glr_examples_batch_mode_17-perpendicular_burning_ship_DEM.py`

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      <div class="sphx-glr-thumbnail-title">17 - "Perpendicular" Burning Ship</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="An example of hidden feature in this fractal: a Glynn spiral in a very skewed area at a depth o...">

.. only:: html

  .. image:: /examples/batch_mode/images/thumb/sphx_glr_18-perpendicular_burning_ship_glynn_thumb.png
    :alt:

  :ref:`sphx_glr_examples_batch_mode_18-perpendicular_burning_ship_glynn.py`

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      <div class="sphx-glr-thumbnail-title">18 - "Perpendicular" Burning Ship: hidden Glynn spiral</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Another hidden feature in this fractal: here, a reminiscence of Koch snowflakes close to a mini...">

.. only:: html

  .. image:: /examples/batch_mode/images/thumb/sphx_glr_19-perpendicular_burning_ship_Koch_thumb.png
    :alt:

  :ref:`sphx_glr_examples_batch_mode_19-perpendicular_burning_ship_Koch.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">19 - "Perpendicular" Burning Ship: hidden Koch snowflakes</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Another hidden feature in this fractal: here, Sierpinski triangular carpets at a depth of 7.e-5...">

.. only:: html

  .. image:: /examples/batch_mode/images/thumb/sphx_glr_20-perpendicular_burning_ship_Sierpinski_thumb.png
    :alt:

  :ref:`sphx_glr_examples_batch_mode_20-perpendicular_burning_ship_Sierpinski.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">20 - "Perpendicular" Burning Ship: hidden Sierpinski carpets</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Another hidden feature in this fractal: here, tree structures at a depth of 1.e-29.">

.. only:: html

  .. image:: /examples/batch_mode/images/thumb/sphx_glr_21-perpendicular_burning_ship_trees_thumb.png
    :alt:

  :ref:`sphx_glr_examples_batch_mode_21-perpendicular_burning_ship_trees.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">21 - "Perpendicular" Burning Ship: tree structures</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Shark Fin is yet another abs variant, which features characteristic swirly structures. Here, an...">

.. only:: html

  .. image:: /examples/batch_mode/images/thumb/sphx_glr_22-shark_fin_deep_thumb.png
    :alt:

  :ref:`sphx_glr_examples_batch_mode_22-shark_fin_deep.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">22 - "Shark Fin" escape-time fractal</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="This is a simple showcase to demonstrate the acceleration provided by interior detection option...">

.. only:: html

  .. image:: /examples/batch_mode/images/thumb/sphx_glr_23-deep_min_thumb.png
    :alt:

  :ref:`sphx_glr_examples_batch_mode_23-deep_min.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">23 - A deep mini</div>
    </div>


.. raw:: html

    </div>

Colormaps template gallery
==========================




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    <div class="sphx-glr-thumbnails">


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Colormaps can be created either:  - directly in batch mode,  - or in the GUI via the colormap t...">

.. only:: html

  .. image:: /examples/colormaps/images/thumb/sphx_glr_plot_cmaps_thumb.png
    :alt:

  :ref:`sphx_glr_examples_colormaps_plot_cmaps.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Colormaps: available templates</div>
    </div>


.. raw:: html

    </div>

GUI-mode: arbitrary precision implementations
=============================================

Below is a selection of scripts to start exploring fractals
with arbitrary precision, through a graphical user interface.



.. raw:: html

    <div class="sphx-glr-thumbnails">


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="This is a template to explore the Mandelbrot set with arbitrary precision through a GUI. It fea...">

.. only:: html

  .. image:: /examples/interactive_deepzoom/images/thumb/sphx_glr_D01_run_interactive_thumb.png
    :alt:

  :ref:`sphx_glr_examples_interactive_deepzoom_D01_run_interactive.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">D01 - Mandelbrot arbitrary-precision explorer</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="This is a template to explore the Burning Ship set with arbitrary precision through a GUI. It f...">

.. only:: html

  .. image:: /examples/interactive_deepzoom/images/thumb/sphx_glr_D02_run_BS_interactive_thumb.png
    :alt:

  :ref:`sphx_glr_examples_interactive_deepzoom_D02_run_BS_interactive.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">D02 - Burning Ship arbitrary-precision explorer</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="This is a template to explore the Mandelbrot set power n &gt;= 2 with arbitrary precision through ...">

.. only:: html

  .. image:: /examples/interactive_deepzoom/images/thumb/sphx_glr_D03_run_interactive_Mn_thumb.png
    :alt:

  :ref:`sphx_glr_examples_interactive_deepzoom_D03_run_interactive_Mn.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">D03 - Mandelbrot arbitrary-precision explorer</div>
    </div>


.. raw:: html

    </div>

GUI-mode: standard implementation examples
==========================================

Below is a selection of scripts to start exploring fractals
with a standard mode (zoom depth limited to precision of double,
around 1e-13)  with a graphical user interface.



.. raw:: html

    <div class="sphx-glr-thumbnails">


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="This is a simple &quot;toy&quot; template to start exploring the Mandelbrot set with the GUI. Resolution ...">

.. only:: html

  .. image:: /examples/interactive_standard/images/thumb/sphx_glr_S01_run_interactive_shallow_thumb.png
    :alt:

  :ref:`sphx_glr_examples_interactive_standard_S01_run_interactive_shallow.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">S01 - Mandelbrot explorer - Standard precision</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="This is a simple template to explore the Burning ship fractal Resolution limited to approx 1.e-...">

.. only:: html

  .. image:: /examples/interactive_standard/images/thumb/sphx_glr_S02_run_BS_shallow_thumb.png
    :alt:

  :ref:`sphx_glr_examples_interactive_standard_S02_run_BS_shallow.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">S02 - Burning ship explorer - Standard precision</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="This is a simple template to explore the power n &gt; 2 Mandelbrot set with the GUI. Resolution li...">

.. only:: html

  .. image:: /examples/interactive_standard/images/thumb/sphx_glr_S03_run_interactive_Mn_shallow_thumb.png
    :alt:

  :ref:`sphx_glr_examples_interactive_standard_S03_run_interactive_Mn_shallow.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">S03 - Mandelbrot power n explorer - Standard precision</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="This is a simple template to explore the Collatz set with a GUI (example of &quot;low-level API&quot; for...">

.. only:: html

  .. image:: /examples/interactive_standard/images/thumb/sphx_glr_S04_run_collatz_thumb.png
    :alt:

  :ref:`sphx_glr_examples_interactive_standard_S04_run_collatz.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">S04 - Collatz explorer - Standard precision</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="A template to explore the tetration fractal set (aka power-tower) with the GUI (example of &quot;low...">

.. only:: html

  .. image:: /examples/interactive_standard/images/thumb/sphx_glr_S05_run_power_tower_shallow_thumb.png
    :alt:

  :ref:`sphx_glr_examples_interactive_standard_S05_run_power_tower_shallow.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">S05 - Tetration fractal explorer - Standard precision</div>
    </div>


.. raw:: html

    </div>

Lighting examples gallery
==========================

This section presents a selection of the lightings effects which
can be obtained with the `fractalshades.colors.layers.Blinn_lighting` class
and its associated GUI editor. 



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    <div class="sphx-glr-thumbnails">


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="A selection of the lightings effects which can be obtained with the fractalshades.colors.layers...">

.. only:: html

  .. image:: /examples/lighting/images/thumb/sphx_glr_plot_lighting_thumb.png
    :alt:

  :ref:`sphx_glr_examples_lighting_plot_lighting.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Ligthings: available effects</div>
    </div>


.. raw:: html

    </div>

Projections
===========

Below is a selection of scripts which use projections.



.. raw:: html

    <div class="sphx-glr-thumbnails">


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="The Feigenbaum point (in the context of Mandelbrot set) lies a the limit of the successive quas...">

.. only:: html

  .. image:: /examples/projections/images/thumb/sphx_glr_P01-feigenbaum_expmap_thumb.png
    :alt:

  :ref:`sphx_glr_examples_projections_P01-feigenbaum_expmap.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">P01 - Exponential mapping: Feigenbaum point</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="This example demonstrates a basic use of the class Generic_mapping. The following mapping is ap...">

.. only:: html

  .. image:: /examples/projections/images/thumb/sphx_glr_P02-inversion_thumb.png
    :alt:

  :ref:`sphx_glr_examples_projections_P02-inversion.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">P02 - Inversion of the Mandelbrot set</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="This example demonstrates a more complex use of the class Generic_mapping.">

.. only:: html

  .. image:: /examples/projections/images/thumb/sphx_glr_P03-Elephant_valley_moebius_thumb.png
    :alt:

  :ref:`sphx_glr_examples_projections_P03-Elephant_valley_moebius.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">P03 - Moebius mapping: Elephant and Seahorse valleys</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="This small example demonstrates the compatibility of fractalshades.projection.Expmap projection...">

.. only:: html

  .. image:: /examples/projections/images/thumb/sphx_glr_P04-deep_expmap_thumb.png
    :alt:

  :ref:`sphx_glr_examples_projections_P04-deep_expmap.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">P04 - Exponential mapping for deep zoom</div>
    </div>


.. raw:: html

    </div>


.. toctree::
   :hidden:
   :includehidden:


   /examples/batch_mode/index.rst
   /examples/colormaps/index.rst
   /examples/interactive_deepzoom/index.rst
   /examples/interactive_standard/index.rst
   /examples/lighting/index.rst
   /examples/projections/index.rst


.. only:: html

  .. container:: sphx-glr-footer sphx-glr-footer-gallery

    .. container:: sphx-glr-download sphx-glr-download-python

      :download:`Download all examples in Python source code: examples_python.zip </examples/examples_python.zip>`

    .. container:: sphx-glr-download sphx-glr-download-jupyter

      :download:`Download all examples in Jupyter notebooks: examples_jupyter.zip </examples/examples_jupyter.zip>`


.. only:: html

 .. rst-class:: sphx-glr-signature

    `Gallery generated by Sphinx-Gallery <https://sphinx-gallery.github.io>`_