.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "auto_examples/plotting/plot_edges_3d.py"
.. LINE NUMBERS ARE GIVEN BELOW.

.. only:: html

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

        :ref:`Go to the end <sphx_glr_download_auto_examples_plotting_plot_edges_3d.py>`
        to download the full example code.

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

.. _sphx_glr_auto_examples_plotting_plot_edges_3d.py:


.. _edges_3d_gallery:

Edges in 3D
========================================

.. GENERATED FROM PYTHON SOURCE LINES 9-15

This tutorial show how to plot edges in 3D, using

- :func:`oat_python.plot.trace_3d_for_edge`, which generates a trace for a single edge, and 
- :func:`oat_python.plot.trace_3d_for_edges`, which generates a single trace for multiple edges.



.. GENERATED FROM PYTHON SOURCE LINES 18-20

Setup
------------------------------------------------------

.. GENERATED FROM PYTHON SOURCE LINES 22-27

.. code-block:: Python

    import oat_python as oat
    import plotly
    import plotly.graph_objects as go
    import numpy as np








.. GENERATED FROM PYTHON SOURCE LINES 28-30

We'll use a cycle graph on N vertices as an example. 
Here we generate N evenly spaced points on a circle, which will be the vertices of the graph.

.. GENERATED FROM PYTHON SOURCE LINES 30-43

.. code-block:: Python

    N               =   60

    # Generate N points in the xy-plane
    points          =   oat.point_cloud.circle( n_points=N, )

    # Add a z-coordinate to make the points 3D
    points          =   np.hstack( (
                            points, 
                            np.sin(np.linspace(0, 6*np.pi, N)).reshape(-1, 1))
                        )  
    points






.. rst-class:: sphx-glr-script-out

 .. code-block:: none


    array([[ 1.00000000e+00,  0.00000000e+00,  0.00000000e+00],
           [ 9.94521895e-01,  1.04528463e-01,  3.14076712e-01],
           [ 9.78147601e-01,  2.07911691e-01,  5.96367359e-01],
           [ 9.51056516e-01,  3.09016994e-01,  8.18302776e-01],
           [ 9.13545458e-01,  4.06736643e-01,  9.57422038e-01],
           [ 8.66025404e-01,  5.00000000e-01,  9.99645611e-01],
           [ 8.09016994e-01,  5.87785252e-01,  9.40700267e-01],
           [ 7.43144825e-01,  6.69130606e-01,  7.86551556e-01],
           [ 6.69130606e-01,  7.43144825e-01,  5.52800065e-01],
           [ 5.87785252e-01,  8.09016994e-01,  2.63102564e-01],
           [ 5.00000000e-01,  8.66025404e-01, -5.32221748e-02],
           [ 4.06736643e-01,  9.13545458e-01, -3.64160575e-01],
           [ 3.09016994e-01,  9.51056516e-01, -6.38244184e-01],
           [ 2.07911691e-01,  9.78147601e-01, -8.47734428e-01],
           [ 1.04528463e-01,  9.94521895e-01, -9.71429893e-01],
           [ 6.12323400e-17,  1.00000000e+00, -9.96812007e-01],
           [-1.04528463e-01,  9.94521895e-01, -9.21311978e-01],
           [-2.07911691e-01,  9.78147601e-01, -7.52570770e-01],
           [-3.09016994e-01,  9.51056516e-01, -5.07665800e-01],
           [-4.06736643e-01,  9.13545458e-01, -2.11382624e-01],
           [-5.00000000e-01,  8.66025404e-01,  1.06293486e-01],
           [-5.87785252e-01,  8.09016994e-01,  4.13212186e-01],
           [-6.69130606e-01,  7.43144825e-01,  6.78311836e-01],
           [-7.43144825e-01,  6.69130606e-01,  8.74763085e-01],
           [-8.09016994e-01,  5.87785252e-01,  9.82684125e-01],
           [-8.66025404e-01,  5.00000000e-01,  9.91152831e-01],
           [-9.13545458e-01,  4.06736643e-01,  8.99312130e-01],
           [-9.51056516e-01,  3.09016994e-01,  7.16456740e-01],
           [-9.78147601e-01,  2.07911691e-01,  4.61092501e-01],
           [-9.94521895e-01,  1.04528463e-01,  1.59063496e-01],
           [-1.00000000e+00,  1.22464680e-16, -1.59063496e-01],
           [-9.94521895e-01, -1.04528463e-01, -4.61092501e-01],
           [-9.78147601e-01, -2.07911691e-01, -7.16456740e-01],
           [-9.51056516e-01, -3.09016994e-01, -8.99312130e-01],
           [-9.13545458e-01, -4.06736643e-01, -9.91152831e-01],
           [-8.66025404e-01, -5.00000000e-01, -9.82684125e-01],
           [-8.09016994e-01, -5.87785252e-01, -8.74763085e-01],
           [-7.43144825e-01, -6.69130606e-01, -6.78311836e-01],
           [-6.69130606e-01, -7.43144825e-01, -4.13212186e-01],
           [-5.87785252e-01, -8.09016994e-01, -1.06293486e-01],
           [-5.00000000e-01, -8.66025404e-01,  2.11382624e-01],
           [-4.06736643e-01, -9.13545458e-01,  5.07665800e-01],
           [-3.09016994e-01, -9.51056516e-01,  7.52570770e-01],
           [-2.07911691e-01, -9.78147601e-01,  9.21311978e-01],
           [-1.04528463e-01, -9.94521895e-01,  9.96812007e-01],
           [-1.83697020e-16, -1.00000000e+00,  9.71429893e-01],
           [ 1.04528463e-01, -9.94521895e-01,  8.47734428e-01],
           [ 2.07911691e-01, -9.78147601e-01,  6.38244184e-01],
           [ 3.09016994e-01, -9.51056516e-01,  3.64160575e-01],
           [ 4.06736643e-01, -9.13545458e-01,  5.32221748e-02],
           [ 5.00000000e-01, -8.66025404e-01, -2.63102564e-01],
           [ 5.87785252e-01, -8.09016994e-01, -5.52800065e-01],
           [ 6.69130606e-01, -7.43144825e-01, -7.86551556e-01],
           [ 7.43144825e-01, -6.69130606e-01, -9.40700267e-01],
           [ 8.09016994e-01, -5.87785252e-01, -9.99645611e-01],
           [ 8.66025404e-01, -5.00000000e-01, -9.57422038e-01],
           [ 9.13545458e-01, -4.06736643e-01, -8.18302776e-01],
           [ 9.51056516e-01, -3.09016994e-01, -5.96367359e-01],
           [ 9.78147601e-01, -2.07911691e-01, -3.14076712e-01],
           [ 9.94521895e-01, -1.04528463e-01, -7.34788079e-16]])



.. GENERATED FROM PYTHON SOURCE LINES 44-52

Color scales 
------------------------------------------------------


Plotly has no native functionality to plot multiple edges on a colorscale in a single trace.
If you'd like to plot multiple edges on a colorscale, you can create a separate trace for each edge,
and assign a color to each edge individually. Here's an example.


.. GENERATED FROM PYTHON SOURCE LINES 55-59

Get a Plotly colorscale object, which maps values in [0,1] to RGB colors.

- For a full list of Plotly colorscales, see: https://plotly.com/python/builtin-colorscales/
- For another example of mapping scalar values to colors, see :ref:`color_mapping_gallery`.

.. GENERATED FROM PYTHON SOURCE LINES 59-62

.. code-block:: Python


    colorscale      =   plotly.colors.get_colorscale('Rainbow') 








.. GENERATED FROM PYTHON SOURCE LINES 63-64

Convert N evenly spaced values in [0,1] to colors using the colorscale. We'll use these colors for the edges of a cycle graph.

.. GENERATED FROM PYTHON SOURCE LINES 64-70

.. code-block:: Python

    colors          =   plotly.colors.sample_colorscale(
                            colorscale, 
                            np.linspace(0, 1, N) 
                        )
    colors





.. rst-class:: sphx-glr-script-out

 .. code-block:: none


    ['rgb(150, 0, 90)', 'rgb(130, 0, 105)', 'rgb(109, 0, 120)', 'rgb(89, 0, 135)', 'rgb(69, 0, 150)', 'rgb(48, 0, 165)', 'rgb(28, 0, 179)', 'rgb(8, 0, 194)', 'rgb(0, 2, 205)', 'rgb(0, 6, 212)', 'rgb(0, 9, 220)', 'rgb(0, 12, 227)', 'rgb(0, 16, 234)', 'rgb(0, 19, 242)', 'rgb(0, 22, 249)', 'rgb(0, 29, 255)', 'rgb(0, 47, 255)', 'rgb(0, 64, 255)', 'rgb(0, 81, 255)', 'rgb(0, 98, 255)', 'rgb(0, 115, 255)', 'rgb(0, 133, 255)', 'rgb(0, 150, 255)', 'rgb(5, 164, 243)', 'rgb(11, 178, 228)', 'rgb(17, 192, 214)', 'rgb(23, 206, 200)', 'rgb(29, 220, 186)', 'rgb(35, 234, 171)', 'rgb(41, 248, 157)', 'rgb(51, 255, 140)', 'rgb(66, 255, 119)', 'rgb(80, 255, 99)', 'rgb(95, 255, 79)', 'rgb(109, 255, 58)', 'rgb(124, 255, 38)', 'rgb(138, 255, 18)', 'rgb(153, 255, 0)', 'rgb(167, 252, 0)', 'rgb(181, 249, 0)', 'rgb(195, 246, 0)', 'rgb(209, 243, 0)', 'rgb(223, 240, 0)', 'rgb(237, 238, 0)', 'rgb(251, 235, 0)', 'rgb(255, 221, 0)', 'rgb(255, 205, 0)', 'rgb(255, 188, 0)', 'rgb(255, 171, 0)', 'rgb(255, 155, 0)', 'rgb(255, 138, 0)', 'rgb(255, 121, 0)', 'rgb(255, 105, 0)', 'rgb(255, 90, 0)', 'rgb(255, 75, 0)', 'rgb(255, 60, 0)', 'rgb(255, 45, 0)', 'rgb(255, 30, 0)', 'rgb(255, 15, 0)', 'rgb(255, 0, 0)']



.. GENERATED FROM PYTHON SOURCE LINES 71-72

Plot the edges of the graph, using :func:`oat_python.plot.trace_2d_for_edge`.

.. GENERATED FROM PYTHON SOURCE LINES 72-117

.. code-block:: Python


    # Initialize a list to hold the traces
    traces          =   []

    # Make a trace for the vertices, to help mark start and end points
    vertex_trace    =   oat.plot.trace_3d_for_vertices(
                           points          =   points,
                           marker          =   dict(
                                                   color       =   'white',
                                                   size        =   5,
                                               ),
                           showlegend      =   True,
                           name            =   "Vertex Trace",
                        )
    traces.append(vertex_trace)

    # Make one trace per edge, each with a different color. For an explanation of
    # the keyword arguments, see the docstring for :func:`oat_python.plot.trace_2d_for_edge`.
    for p in range(N):
        edge_trace  =   oat.plot.trace_3d_for_edge(
                           points          =   points,
                           edge            =   [p, (p+1) % N],
                           line            =   dict(
                                                   color       =   colors[p],
                                                   width       =   6,
                                               ),
                           name            =   f"Trace for edge {p}",
                        )

        traces.append(edge_trace)

    # Create a figure with all traces
    fig = plotly.graph_objects.Figure(traces)

    # Set the title, and make the aspect ratio equal
    fig.update_layout(
        title="Using a colorscale by placing edges in separate traces",  
        scene = dict(
            aspectratio=go.layout.scene.Aspectratio(x=1, y=1, z=1), 
        )
    )

    # Show the figure
    fig






.. raw:: html

    <div class="output_subarea output_html rendered_html output_result">
    <div>                        <script type="text/javascript">window.PlotlyConfig = {MathJaxConfig: 'local'};</script>
            <script charset="utf-8" src="https://cdn.plot.ly/plotly-3.1.0.min.js" integrity="sha256-Ei4740bWZhaUTQuD6q9yQlgVCMPBz6CZWhevDYPv93A=" crossorigin="anonymous"></script>                <div id="f9f6a280-5233-4736-adec-a063f15d4064" class="plotly-graph-div" style="height:100%; width:100%;"></div>            <script type="text/javascript">                window.PLOTLYENV=window.PLOTLYENV || {};                                if (document.getElementById("f9f6a280-5233-4736-adec-a063f15d4064")) {                    Plotly.newPlot(                        "f9f6a280-5233-4736-adec-a063f15d4064",                        [{"marker":{"color":"white","size":5},"mode":"markers","name":"Vertex 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    <br />
    <br />

.. GENERATED FROM PYTHON SOURCE LINES 126-136

Grouping legend entries
------------------------------------------------------

Each trace appears separately in the legend by default. However,

- You can group multiple traces together in the legend using keyword arguments.
  See the `Legend` section of :ref:`triangles_3d_gallery` for examples.
- If you do not need to assign different colors to different edges, then
  you can plot multiple edges in a single trace using :func:`oat_python.plot.trace_2d_for_edges`.
  See the next section for an example.

.. GENERATED FROM PYTHON SOURCE LINES 139-146

Grouping multiple edges in a single trace (may improve performance)
----------------------------------------------------------------------


If you do not need to assign different colors to different edges, then
you can plot multiple edges in a single trace using :func:`oat_python.plot.trace_2d_for_edges`.
Here's an example.

.. GENERATED FROM PYTHON SOURCE LINES 146-158

.. code-block:: Python


    # Make a trace for the vertices, to help mark start and end points
    vertex_trace    =   oat.plot.trace_3d_for_vertices(
                           points          =   points,
                           marker          =   dict(
                                                   color       =   'white',
                                                   size        =   5,
                                               ),
                           showlegend      =   True,
                           name            =   "Vertex Trace",
                        )








.. GENERATED FROM PYTHON SOURCE LINES 159-161

Make a single trace for all edges, with the same color for all edges.
For an explanation of the keyword arguments, see the docstring for :func:`oat_python.plot.trace_2d_for_edges`.

.. GENERATED FROM PYTHON SOURCE LINES 161-187

.. code-block:: Python


    edge_trace       =   oat.plot.trace_3d_for_edges(
                        points          =   points,
                        edges           =   [ [p, (p+1) % N] for p in range(N) ],
                        line            =   dict(
                                                color       =   "white",
                                                width       =   3,
                                            ),
                        showlegend      =   True,
                        name            =   f"Edge Trace",
                    )

    # Create a figure with the trace
    fig = plotly.graph_objects.Figure([ edge_trace, vertex_trace ])

    # Set the title, make the aspect ratio equal, and apply a dark template
    fig.update_layout(
        title="Multiple edges in a single trace",    
        template="plotly_dark",
        scene = dict(
            aspectratio=go.layout.scene.Aspectratio(x=1, y=1, z=1), 
        )
    )

    # Show the figure
    fig





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   **Total running time of the script:** (0 minutes 0.089 seconds)


.. _sphx_glr_download_auto_examples_plotting_plot_edges_3d.py:

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

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    .. container:: sphx-glr-download sphx-glr-download-zip

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