The main result of this paper is a proof of existence of a nontrivial knot on any embedded template, that was left as an open question to prove in [Ghrist et al., 1997] without using the Bennequin's inequality [Ghrist et al., 1997]. This result in the branched two-manifold case, which we prove by a sequence of lemmas showing our simple template (or ones with twists) containing nontrivial knots is (are) contained in every template as a subtemplate, enables us to generalize it later in this paper to certain forms of three-templates in four-dimensional dynamical systems by simply using the technique of "spinning" the knots in the lower dimensional templates to obtain the spun knotted surfaces.