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In Sol$_3$ space there are three uniparametric groups of isometries. In thiswork we study constant mean curvature surfaces invariant by one of thesegroups. We analyze the geometric properties of these surfaces by means of theircomputer graphics. We construct explicit examples of minimal surfaces and weshall relate them with recent examples of spheres with constant mean curvature.

Invariant surfaces in Sol$_3$ with constant mean curvature and their computer graphics