This disclosure describes various poly(acetal) polymers including processable, elastomeric poly(acetals). Various polymers described herein have a chemical structure containing cyclic acetal monomer units derived from diglycerol and a dialdehyde compound. The disclosure also relates to a method of preparing such polymers. The method can involve heating and/or adding acid to a mixture containing diglycerol and a dicarbonyl compound so as to obtain an elastomeric polymer.