Cartesian product of the Cantor set and the Von Koch Curve. Its fractal dimension is the sum of their fractal dimensions. <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 D_{H}=\ln {2}/\ln {3}+\ln {4}/\ln {3}=3\ln {2}/\ln {3}=1.8928}"><semantics><mrow class="MJX-TeXAtom-ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>D</mi><mrow class="MJX-TeXAtom-ORD"><mi>H</mi></mrow></msub><mo>=</mo><mi>ln</mi><mo>⁡<!-- ⁡ --></mo><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow><mrow class="MJX-TeXAtom-ORD"><mo>/</mo></mrow><mi>ln</mi><mo>⁡<!-- ⁡ --></mo><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow><mo>+</mo><mi>ln</mi><mo>⁡<!-- ⁡ --></mo><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow><mrow class="MJX-TeXAtom-ORD"><mo>/</mo></mrow><mi>ln</mi><mo>⁡<!-- ⁡ --></mo><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow><mo>=</mo><mn>3</mn><mi>ln</mi><mo>⁡<!-- ⁡ --></mo><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow><mrow class="MJX-TeXAtom-ORD"><mo>/</mo></mrow><mi>ln</mi><mo>⁡<!-- ⁡ --></mo><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow><mo>=</mo><mn>1.8928</mn></mstyle></mrow><annotation encoding="application/x-tex">{\displaystyle D_{H}=\ln {2}/\ln {3}+\ln {4}/\ln {3}=3\ln {2}/\ln {3}=1.8928}</annotation></semantics></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/56979890dcbb98142a79c7032355d89fb5c85781" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -0.838ex; width:49.342ex; height:2.843ex;" alt="{\displaystyle D_{H}=\ln {2}/\ln {3}+\ln {4}/\ln {3}=3\ln {2}/\ln {3}=1.8928}"></span>.
<a href="//commons.wikimedia.org/wiki/User:Prokofiev" title="User:Prokofiev">Prokofiev</a>
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