.. _sphx_glr_api_gallery_geometry_curves:

Curves and the Frenet-Serret frame
--------------------------------------

Curvature, arc length, and the moving frame along a parametric curve.


.. raw:: html

  <div id='sg-tag-list' class='sphx-glr-tag-list'></div>


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

.. thumbnail-parent-div-open

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    <div class="sphx-glr-thumbcontainer" tooltip="A helix has constant curvature and torsion -- both confirmed here against their closed forms -- and the moving tangent/normal/binormal frame is visualized in 2D projection alongside an ellipse (whose curvature varies).">

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  .. image:: /api/gallery/geometry/curves/images/thumb/sphx_glr_plot_01_helix_frenet_frame_thumb.png
    :alt:

  :doc:`/api/gallery/geometry/curves/plot_01_helix_frenet_frame`

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      <div class="sphx-glr-thumbnail-title">The Frenet-Serret frame of a circular helix</div>
    </div>


.. thumbnail-parent-div-close

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    </div>


.. toctree::
   :hidden:

   /api/gallery/geometry/curves/plot_01_helix_frenet_frame