It is shown that any graph G that is the Cartesian productof two cycles can be realized in four-dimensional Euclidean space in sucha way that every edge-preserving permutation of the vertices of G extendsto a symmetry of the Euclidean realization of G. As a corollary, thereexists an infinite series of regular toroidal two-dimensional polyhedrainscribed in the Clifford torus just like the five regular spherical polyhedraare inscribed in a sphere.
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