Color image of the mandelbrot set. The color indicates the number of iterations before the absolute value of a complex number exceeds a certain value. The complex number <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle z_{0}}"><semantics><mrow class="MJX-TeXAtom-ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>0</mn></mrow></msub></mstyle></mrow><annotation encoding="application/x-tex">{\displaystyle z_{0}}</annotation></semantics></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9e72d1d86e86355892b39b8eb32b964834e113bf" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -0.671ex; width:2.135ex; height:2.009ex;" alt="{\displaystyle z_{0}}"></span> is taken from the pixels coordinates. Succeeding values are calculated as <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle z:=z^{2}+z_{0}}"><semantics><mrow class="MJX-TeXAtom-ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>z</mi><mo>:=</mo><msup><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msub><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>0</mn></mrow></msub></mstyle></mrow><annotation encoding="application/x-tex">{\displaystyle z:=z^{2}+z_{0}}</annotation></semantics></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6839ff8dfe9cfa1a7722114f2c07585f1b014871" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -0.671ex; width:11.954ex; height:3.009ex;" alt="{\displaystyle z:=z^{2}+z_{0}}"></span>.
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