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<p>task. Yet by fashioning the frame out of wire and dipping it in soap-solution, a locally minimal surface will appear in the resulting soap-film within seconds.</p>

<p>The reason for this is that the pressure difference across a fluid interface is proportional to the <a href="page.php?w=mean_curvature">mean curvature</a>, as seen in the <a href="page.php?w=Young-Laplace_equation">Young-Laplace equation</a>. For an open soap film, the pressure difference is zero, hence the mean curvature is zero, and minimal surfaces have the property of zero</p><p>
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