Radical polymerization of dialkyl muconates (dialkyl 2,4-hexadienoates) was investigated in an isotropic (amorphous) state, that is, solution or bulk polymerization, and in a crystalline state. In the bulk polymerization at 120 °C in the presence of a radical initiator, high molecular weight polymers of more than 105 were obtained in high yields, compared with those in solution polymerization. Three kinds of isomers, cis,cis-, cis,trans-, and trans,trans-muconates, showed similar polymerization reactivities. The microstructure in the polymers was determined by 1H and 13C NMR spectroscopies to be 84−91%, 6−13%, and 2−4% for trans-1,4-, cis-1,4-, and 1,2-structures, respectively, which depended on the polymerization temperature. In contrast with the bulk (in the melt) and solution polymerizations, we discovered that diethyl cis,cis-muconate underwent highly stereospecific polymerization in a crystalline state under UV irradiation via a topochemical polymerization mechanism. The resulting polymer was of ultr...