This "D"-like trapezoid symbol had been assumed to be an identification mark for Duro, an assumption that was confirmed by an illustration in a 1939 Duro catalog. The catalog shows an illustration on page 40 of a "Special Carbon Manganese Steel Socket", with the two trapezoid symbols clearly visible on either side of the size marking. We'll refer to this symbol in the text as the D-Trapezoid logo for ease of reference.
Apart from the markings, another difference from the (likely earlier) Indestro sockets is that the knurling on the Duro sockets is now a very fine cross-hatch, giving them a more refined appearance. The coarse knurling on early sockets was probably intended as a functional feature, to allow the socket to be turned easily by hand, but later evolved to a more decorative role.
Although these sockets are marked only with the D-Trapezoid and size, the 1939 catalog shows the model numbers that were used for the series. The numbers have the form "99xx" where "**" is the size in 32nds, so for example model 9924 indicates a 3/4 size. The square and double-square broachings are identified with an appended "S", e.g. model 9920S for the 5/8 size.