a thermal insulation blanket for enclosing or draping a compound curved surface or a generally cylindrical pipe or conduit includes a first plurality of strips of insulation material comprised of an alternating pattern of blocks of flexible insulation material and blocks of rigid insulation material and a second plurality of strips of insulation material comprised of flexible insulation material is alternated with the first plurality of strips . the blocks of material are adhesively joined together to create the first plurality of strips and the two pluralities are adhesively joined together to create the blanket .