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<div class="section" id="create-3d-histogram-of-2d-data">
<span id="sphx-glr-gallery-mplot3d-hist3d-py"></span><h1>Create 3D histogram of 2D data<a class="headerlink" href="#create-3d-histogram-of-2d-data" title="Permalink to this headline">¶</a></h1>
<p>Demo of a histogram for 2 dimensional data as a bar graph in 3D.</p>
<img alt="../../_images/sphx_glr_hist3d_001.png" class="align-center" src="../../_images/sphx_glr_hist3d_001.png" />
<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="kn">from</span> <span class="nn">mpl_toolkits.mplot3d</span> <span class="kn">import</span> <span class="n">Axes3D</span>
<span class="kn">import</span> <span class="nn">matplotlib.pyplot</span> <span class="kn">as</span> <span class="nn">plt</span>
<span class="kn">import</span> <span class="nn">numpy</span> <span class="kn">as</span> <span class="nn">np</span>
<span class="c1"># Fixing random state for reproducibility</span>
<a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.random.seed.html#numpy.random.seed" title="View documentation for numpy.random.seed"><span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">seed</span></a><span class="p">(</span><span class="mi">19680801</span><span class="p">)</span>
<span class="n">fig</span> <span class="o">=</span> <a href="../../api/_as_gen/matplotlib.pyplot.figure.html#matplotlib.pyplot.figure" title="View documentation for matplotlib.pyplot.figure"><span class="n">plt</span><span class="o">.</span><span class="n">figure</span></a><span class="p">()</span>
<span class="n">ax</span> <span class="o">=</span> <span class="n">fig</span><span class="o">.</span><span class="n">add_subplot</span><span class="p">(</span><span class="mi">111</span><span class="p">,</span> <span class="n">projection</span><span class="o">=</span><span class="s1">'3d'</span><span class="p">)</span>
<span class="n">x</span><span class="p">,</span> <span class="n">y</span> <span class="o">=</span> <a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.random.rand.html#numpy.random.rand" title="View documentation for numpy.random.rand"><span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">rand</span></a><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="mi">100</span><span class="p">)</span> <span class="o">*</span> <span class="mi">4</span>
<span class="n">hist</span><span class="p">,</span> <span class="n">xedges</span><span class="p">,</span> <span class="n">yedges</span> <span class="o">=</span> <a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.histogram2d.html#numpy.histogram2d" title="View documentation for numpy.histogram2d"><span class="n">np</span><span class="o">.</span><span class="n">histogram2d</span></a><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">,</span> <span class="n">bins</span><span class="o">=</span><span class="mi">4</span><span class="p">,</span> <span class="nb">range</span><span class="o">=</span><span class="p">[[</span><span class="mi">0</span><span class="p">,</span> <span class="mi">4</span><span class="p">],</span> <span class="p">[</span><span class="mi">0</span><span class="p">,</span> <span class="mi">4</span><span class="p">]])</span>
<span class="c1"># Construct arrays for the anchor positions of the 16 bars.</span>
<span class="c1"># Note: np.meshgrid gives arrays in (ny, nx) so we use 'F' to flatten xpos,</span>
<span class="c1"># ypos in column-major order. For numpy >= 1.7, we could instead call meshgrid</span>
<span class="c1"># with indexing='ij'.</span>
<span class="n">xpos</span><span class="p">,</span> <span class="n">ypos</span> <span class="o">=</span> <a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.meshgrid.html#numpy.meshgrid" title="View documentation for numpy.meshgrid"><span class="n">np</span><span class="o">.</span><span class="n">meshgrid</span></a><span class="p">(</span><span class="n">xedges</span><span class="p">[:</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">+</span> <span class="mf">0.25</span><span class="p">,</span> <span class="n">yedges</span><span class="p">[:</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">+</span> <span class="mf">0.25</span><span class="p">)</span>
<span class="n">xpos</span> <span class="o">=</span> <span class="n">xpos</span><span class="o">.</span><span class="n">flatten</span><span class="p">(</span><span class="s1">'F'</span><span class="p">)</span>
<span class="n">ypos</span> <span class="o">=</span> <span class="n">ypos</span><span class="o">.</span><span class="n">flatten</span><span class="p">(</span><span class="s1">'F'</span><span class="p">)</span>
<span class="n">zpos</span> <span class="o">=</span> <a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.zeros_like.html#numpy.zeros_like" title="View documentation for numpy.zeros_like"><span class="n">np</span><span class="o">.</span><span class="n">zeros_like</span></a><span class="p">(</span><span class="n">xpos</span><span class="p">)</span>
<span class="c1"># Construct arrays with the dimensions for the 16 bars.</span>
<span class="n">dx</span> <span class="o">=</span> <span class="mf">0.5</span> <span class="o">*</span> <a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.ones_like.html#numpy.ones_like" title="View documentation for numpy.ones_like"><span class="n">np</span><span class="o">.</span><span class="n">ones_like</span></a><span class="p">(</span><span class="n">zpos</span><span class="p">)</span>
<span class="n">dy</span> <span class="o">=</span> <span class="n">dx</span><span class="o">.</span><span class="n">copy</span><span class="p">()</span>
<span class="n">dz</span> <span class="o">=</span> <span class="n">hist</span><span class="o">.</span><span class="n">flatten</span><span class="p">()</span>
<span class="n">ax</span><span class="o">.</span><span class="n">bar3d</span><span class="p">(</span><span class="n">xpos</span><span class="p">,</span> <span class="n">ypos</span><span class="p">,</span> <span class="n">zpos</span><span class="p">,</span> <span class="n">dx</span><span class="p">,</span> <span class="n">dy</span><span class="p">,</span> <span class="n">dz</span><span class="p">,</span> <span class="n">color</span><span class="o">=</span><span class="s1">'b'</span><span class="p">,</span> <span class="n">zsort</span><span class="o">=</span><span class="s1">'average'</span><span class="p">)</span>
<a href="../../api/_as_gen/matplotlib.pyplot.show.html#matplotlib.pyplot.show" title="View documentation for matplotlib.pyplot.show"><span class="n">plt</span><span class="o">.</span><span class="n">show</span></a><span class="p">()</span>
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