Some of the features of the Mathematica-based program LinKnot written by the authors are used in visualizing symmetry properties of knots and links. By exporting images from LinKnot to KnotPlot, it is possible to produce animations illustrating amphicheirality or periodicity. The most symmetrical projections of knots and links, as well as torus knots and links, can be used as a basis of symmetrical knot-art works.