.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "examples/stereographic_projection/plot_symmetry_operations.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_plot_symmetry_operations.py>`
        to download the full example code

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

.. _sphx_glr_examples_stereographic_projection_plot_symmetry_operations.py:


========================
Plot symmetry operations
========================

This example shows how to draw proper symmetry operations :math:`s`
(no reflections or inversions).

.. GENERATED FROM PYTHON SOURCE LINES 9-54



.. image-sg:: /examples/stereographic_projection/images/sphx_glr_plot_symmetry_operations_001.png
   :alt: 432, 222
   :srcset: /examples/stereographic_projection/images/sphx_glr_plot_symmetry_operations_001.png
   :class: sphx-glr-single-img





.. code-block:: Python


    import matplotlib.pyplot as plt

    from orix import plot
    from orix.vector import Vector3d

    marker_size = 200
    fig, (ax0, ax1) = plt.subplots(
        ncols=2,
        subplot_kw={"projection": "stereographic"},
        layout="tight",
    )

    ax0.set_title("432", pad=20)
    # 4-fold (outer markers will be clipped a bit...)
    v4fold = Vector3d([[0, 0, 1], [1, 0, 0], [-1, 0, 0], [0, 1, 0], [0, -1, 0]])
    ax0.symmetry_marker(v4fold, fold=4, c="C4", s=marker_size)
    ax0.draw_circle(v4fold, color="C4")
    # 3-fold
    v3fold = Vector3d([[1, 1, 1], [1, -1, 1], [-1, -1, 1], [-1, 1, 1]])
    ax0.symmetry_marker(v3fold, fold=3, c="C3", s=marker_size)
    ax0.draw_circle(v3fold, color="C3")
    # 2-fold
    # fmt: off
    v2fold = Vector3d(
        [
            [ 1,  0, 1],
            [ 0,  1, 1],
            [-1,  0, 1],
            [ 0, -1, 1],
            [ 1,  1, 0],
            [-1, -1, 0],
            [-1,  1, 0],
            [ 1, -1, 0],
        ]
    )
    # fmt: on
    ax0.symmetry_marker(v2fold, fold=2, c="C2", s=marker_size)
    ax0.draw_circle(v2fold, color="C2")

    ax1.set_title("222", pad=20)
    # 2-fold
    v2fold = Vector3d([[0, 0, 1], [1, 0, 0], [-1, 0, 0], [0, 1, 0], [0, -1, 0]])
    ax1.symmetry_marker(v2fold, fold=2, c="C2", s=2 * marker_size)
    ax1.draw_circle(v2fold, color="C2")


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

   **Total running time of the script:** (0 minutes 0.707 seconds)

**Estimated memory usage:**  9 MB


.. _sphx_glr_download_examples_stereographic_projection_plot_symmetry_operations.py:

.. only:: html

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

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

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

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

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


.. only:: html

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

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