.. _layer_mandelbrot:

########################
    Mandelbrot Set Layer
########################
.. figure:: mandelbrot_dat/Layer_fractal_mandelbrot_icon.png
   :alt: Layer_fractal_mandelbrot_icon.png
   :width: 64px

 
.. _layer_mandelbrot  About Mandelbrot Set Layer:

About Mandelbrot Set Layer
--------------------------

 The `Mandelbrot set <https://en.wikipedia.org/wiki/Mandelbrot_set>`__ is a compact set, since it is closed and contained in the closed disk of radius 2 around the origin.

.. _layer_mandelbrot  Sample:

Sample
------

.. figure:: mandelbrot_dat/Mandelbrot-set.png
   :alt: Mandelbrot-set.png

 
.. _layer_mandelbrot  Parameters of the Mandelbrot Set Layers:

Parameters of the Mandelbrot Set Layers
---------------------------------------

|Parameter| of the Mandelbrot Set Layers are:

+------------------------------------------------------------------------------------+---------------------+--------------+
| Name                                                                               | Value               | Type         |
+------------------------------------------------------------------------------------+---------------------+--------------+
|     |Integer\_icon.png| Iterations_Parameter                                       |   256               |   integer    |
+------------------------------------------------------------------------------------+---------------------+--------------+
|     |Real\_icon.png| Bailout_ValueBase_Parameter                                   |   2.000000          |   real       |
+------------------------------------------------------------------------------------+---------------------+--------------+
|     |Bool\_icon.png| Break_Set_Parameter                                           | |p_checkbox_off.png||   bool       |
+------------------------------------------------------------------------------------+---------------------+--------------+
|     |Bool\_icon.png| Distort_Inside_Parameter                                      | |p_checkbox_off.png||   bool       |
+------------------------------------------------------------------------------------+---------------------+--------------+
|     |Bool\_icon.png| Shade_Inside_Parameter                                        | |p_checkbox_on.png| |   bool       |
+------------------------------------------------------------------------------------+---------------------+--------------+
|     |Bool\_icon.png| Solid_Inside_Parameter                                        | |p_checkbox_off.png||   bool       |
+------------------------------------------------------------------------------------+---------------------+--------------+
|     |Bool\_icon.png| Invert_Inside_Parameter                                       | |p_checkbox_on.png| |   bool       |
+------------------------------------------------------------------------------------+---------------------+--------------+
|     |Type\_gradient\_icon.png| Gradient_Inside_Parameter                           |  |p_gradient.png|   |   gradient   |
+------------------------------------------------------------------------------------+---------------------+--------------+
|     |Real\_icon.png| Offset_Inside_Parameter                                       |   0.000000          |   real       |
+------------------------------------------------------------------------------------+---------------------+--------------+
|     |Bool\_icon.png| Loop_Inside_Parameter                                         | |p_checkbox_on.png| |   bool       |
+------------------------------------------------------------------------------------+---------------------+--------------+
|     |Bool\_icon.png| Distort_Outside_Parameter                                     | |p_checkbox_off.png||   bool       |
+------------------------------------------------------------------------------------+---------------------+--------------+
|     |Bool\_icon.png| Shade_Outside_Parameter                                       | |p_checkbox_on.png| |   bool       |
+------------------------------------------------------------------------------------+---------------------+--------------+
|     |Bool\_icon.png| Solid_Outside_Parameter                                       | |p_checkbox_off.png||   bool       |
+------------------------------------------------------------------------------------+---------------------+--------------+
|     |Bool\_icon.png| Invert_Outside_Parameter                                      | |p_checkbox_on.png| |   bool       |
+------------------------------------------------------------------------------------+---------------------+--------------+
|     |Type\_gradient\_icon.png| Gradient_Outside_Parameter                          |  |p_gradient.png|   |   gradient   |
+------------------------------------------------------------------------------------+---------------------+--------------+
|     |Bool\_icon.png| Smooth_Outside_Parameter                                      | |p_checkbox_off.png||   bool       |
+------------------------------------------------------------------------------------+---------------------+--------------+
|     |Real\_icon.png| Offset_Outside_Parameter                                      |   0.000000          |   real       |
+------------------------------------------------------------------------------------+---------------------+--------------+
|     |Real\_icon.png| Scale_Outside_Parameter                                       |   0.000000          |   real       |
+------------------------------------------------------------------------------------+---------------------+--------------+

.. |Integer_icon.png| image:: images/Type_integer_icon.png
   :width: 16px
.. |Real_icon.png| image:: images/Type_real_icon.png
   :width: 16px
.. |Bool_icon.png| image:: images/Type_bool_icon.png
   :width: 16px
.. |Type_gradient_icon.png| image:: images/Type_gradient_icon.png
   :width: 16px
.. |p_gradient.png| image:: images/p_gradient.png
.. |p_checkbox_off.png| image:: images/p_checkbox_off.png
.. |p_checkbox_on.png| image:: images/p_checkbox_on.png
   
.. |Parameter| replace:: :ref:`Parameter <parameters>`