The molecule (2E, 4Z, 6E)-2,4,6-octatriene [2 comma 4 comma 6 -ok-tuh-TRY-een] can isomerize to cis-5,6-dimethyl-1,3-cyclohexadiene [cis-5 comma 6-dy-METH-uhl-1 comma 3-sy-kloh-HEK-suh-deen]. Identify: 1) The family of pericyclic reactions for this particular isomerization; 2) The mode of activation; and 3) The direction of stereochemical rotation.