  We study trisections of 4-manifolds obtained by spinning and twist-spinning
3-manifolds, and we show that, given a (suitable) Heegaard diagram for the
3-manifold, one can perform simple local modifications to obtain a trisection
diagram for the 4-manifold. We also show that this local modification can be
used to convert a (suitable) doubly-pointed Heegaard diagram for a
3-manifold/knot pair into a doubly-pointed trisection diagram for the
4-manifold/2-knot pair resulting from the twist-spinning operation.
  This technique offers a rich list of new manifolds that admit trisection
diagrams that are amenable to study. We formulate a conjecture about
4-manifolds with trisection genus three and provide some supporting evidence.
