.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "examples/stereographic_projection/wulff_net.py"
.. LINE NUMBERS ARE GIVEN BELOW.

.. only:: html

    .. note::
        :class: sphx-glr-download-link-note

        :ref:`Go to the end <sphx_glr_download_examples_stereographic_projection_wulff_net.py>`
        to download the full example code

.. rst-class:: sphx-glr-example-title

.. _sphx_glr_examples_stereographic_projection_wulff_net.py:


=========
Wulff net
=========

This example shows how to draw a Wulff net in the stereographic projection with great
and small circles.

.. GENERATED FROM PYTHON SOURCE LINES 9-43



.. image-sg:: /examples/stereographic_projection/images/sphx_glr_wulff_net_001.png
   :alt: wulff net
   :srcset: /examples/stereographic_projection/images/sphx_glr_wulff_net_001.png
   :class: sphx-glr-single-img





.. code-block:: Python


    import matplotlib.pyplot as plt
    import numpy as np

    from orix import plot
    from orix.vector import Vector3d

    n = int(90 / 2)  # Degree / net resolution
    steps = 500
    kwargs = dict(linewidth=0.25, color="k")

    polar = np.linspace(0, 0.5 * np.pi, num=n)
    v_right = Vector3d.from_polar(azimuth=np.zeros(n), polar=polar)
    v_left = Vector3d.from_polar(azimuth=np.ones(n) * np.pi, polar=polar)
    v010 = Vector3d.zero(shape=(n,))
    v010.y = 1
    v010_opposite = -v010

    fig, ax = plt.subplots(
        figsize=(5, 5), subplot_kw=dict(projection="stereographic"), layout="tight"
    )
    ax.stereographic_grid(False)
    ax.draw_circle(v_right, steps=steps, **kwargs)
    ax.draw_circle(v_left, steps=steps, **kwargs)
    ax.draw_circle(v010, opening_angle=polar, steps=steps, **kwargs)
    ax.draw_circle(v010_opposite, opening_angle=polar, steps=steps, **kwargs)
    for label, azimuth, va, ha, offset in zip(
        ["B", "M''", "A", "M'"],
        np.array([0, 0.5, 1, 1.5]) * np.pi,
        ["center", "bottom", "center", "top"],
        ["left", "center", "right", "center"],
        [(0.02, 0), (0, 0.02), (-0.02, 0), (0, -0.02)],
    ):
        ax.text(azimuth, 0.5 * np.pi, s=label, offset=offset, c="r", va=va, ha=ha)


.. rst-class:: sphx-glr-timing

   **Total running time of the script:** (0 minutes 0.685 seconds)

**Estimated memory usage:**  9 MB


.. _sphx_glr_download_examples_stereographic_projection_wulff_net.py:

.. only:: html

  .. container:: sphx-glr-footer sphx-glr-footer-example

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

      :download:`Download Jupyter notebook: wulff_net.ipynb <wulff_net.ipynb>`

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

      :download:`Download Python source code: wulff_net.py <wulff_net.py>`


.. only:: html

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

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