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<div class="section" id="fill-spiral">
<span id="sphx-glr-gallery-misc-fill-spiral-py"></span><h1>Fill Spiral<a class="headerlink" href="#fill-spiral" title="Permalink to this headline">¶</a></h1>
<img alt="../../_images/sphx_glr_fill_spiral_001.png" class="align-center" src="../../_images/sphx_glr_fill_spiral_001.png" />
<div class="highlight-python notranslate"><div class="highlight"><pre><span></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="n">theta</span> <span class="o">=</span> <a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.arange.html#numpy.arange" title="View documentation for numpy.arange"><span class="n">np</span><span class="o">.</span><span class="n">arange</span></a><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">8</span><span class="o">*</span><span class="n">np</span><span class="o">.</span><span class="n">pi</span><span class="p">,</span> <span class="mf">0.1</span><span class="p">)</span>
<span class="n">a</span> <span class="o">=</span> <span class="mi">1</span>
<span class="n">b</span> <span class="o">=</span> <span class="o">.</span><span class="mi">2</span>
<span class="k">for</span> <span class="n">dt</span> <span class="ow">in</span> <a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.arange.html#numpy.arange" title="View documentation for numpy.arange"><span class="n">np</span><span class="o">.</span><span class="n">arange</span></a><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">2</span><span class="o">*</span><span class="n">np</span><span class="o">.</span><span class="n">pi</span><span class="p">,</span> <span class="n">np</span><span class="o">.</span><span class="n">pi</span><span class="o">/</span><span class="mf">2.0</span><span class="p">):</span>
<span class="n">x</span> <span class="o">=</span> <span class="n">a</span><span class="o">*</span><a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.cos.html#numpy.cos" title="View documentation for numpy.cos"><span class="n">np</span><span class="o">.</span><span class="n">cos</span></a><span class="p">(</span><span class="n">theta</span> <span class="o">+</span> <span class="n">dt</span><span class="p">)</span><span class="o">*</span><a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.exp.html#numpy.exp" title="View documentation for numpy.exp"><span class="n">np</span><span class="o">.</span><span class="n">exp</span></a><span class="p">(</span><span class="n">b</span><span class="o">*</span><span class="n">theta</span><span class="p">)</span>
<span class="n">y</span> <span class="o">=</span> <span class="n">a</span><span class="o">*</span><a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.sin.html#numpy.sin" title="View documentation for numpy.sin"><span class="n">np</span><span class="o">.</span><span class="n">sin</span></a><span class="p">(</span><span class="n">theta</span> <span class="o">+</span> <span class="n">dt</span><span class="p">)</span><span class="o">*</span><a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.exp.html#numpy.exp" title="View documentation for numpy.exp"><span class="n">np</span><span class="o">.</span><span class="n">exp</span></a><span class="p">(</span><span class="n">b</span><span class="o">*</span><span class="n">theta</span><span class="p">)</span>
<span class="n">dt</span> <span class="o">=</span> <span class="n">dt</span> <span class="o">+</span> <span class="n">np</span><span class="o">.</span><span class="n">pi</span><span class="o">/</span><span class="mf">4.0</span>
<span class="n">x2</span> <span class="o">=</span> <span class="n">a</span><span class="o">*</span><a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.cos.html#numpy.cos" title="View documentation for numpy.cos"><span class="n">np</span><span class="o">.</span><span class="n">cos</span></a><span class="p">(</span><span class="n">theta</span> <span class="o">+</span> <span class="n">dt</span><span class="p">)</span><span class="o">*</span><a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.exp.html#numpy.exp" title="View documentation for numpy.exp"><span class="n">np</span><span class="o">.</span><span class="n">exp</span></a><span class="p">(</span><span class="n">b</span><span class="o">*</span><span class="n">theta</span><span class="p">)</span>
<span class="n">y2</span> <span class="o">=</span> <span class="n">a</span><span class="o">*</span><a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.sin.html#numpy.sin" title="View documentation for numpy.sin"><span class="n">np</span><span class="o">.</span><span class="n">sin</span></a><span class="p">(</span><span class="n">theta</span> <span class="o">+</span> <span class="n">dt</span><span class="p">)</span><span class="o">*</span><a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.exp.html#numpy.exp" title="View documentation for numpy.exp"><span class="n">np</span><span class="o">.</span><span class="n">exp</span></a><span class="p">(</span><span class="n">b</span><span class="o">*</span><span class="n">theta</span><span class="p">)</span>
<span class="n">xf</span> <span class="o">=</span> <a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.concatenate.html#numpy.concatenate" title="View documentation for numpy.concatenate"><span class="n">np</span><span class="o">.</span><span class="n">concatenate</span></a><span class="p">((</span><span class="n">x</span><span class="p">,</span> <span class="n">x2</span><span class="p">[::</span><span class="o">-</span><span class="mi">1</span><span class="p">]))</span>
<span class="n">yf</span> <span class="o">=</span> <a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.concatenate.html#numpy.concatenate" title="View documentation for numpy.concatenate"><span class="n">np</span><span class="o">.</span><span class="n">concatenate</span></a><span class="p">((</span><span class="n">y</span><span class="p">,</span> <span class="n">y2</span><span class="p">[::</span><span class="o">-</span><span class="mi">1</span><span class="p">]))</span>
<span class="n">p1</span> <span class="o">=</span> <a href="../../api/_as_gen/matplotlib.pyplot.fill.html#matplotlib.pyplot.fill" title="View documentation for matplotlib.pyplot.fill"><span class="n">plt</span><span class="o">.</span><span class="n">fill</span></a><span class="p">(</span><span class="n">xf</span><span class="p">,</span> <span class="n">yf</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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