Thus an examination of the _whole_ of the material available, shows that the preceding half of the hieroglyph 2021 and its congeners is nothing but the _rebus_ for QUETZALCOATL, or rather for CUKULCAN, the Maya name for this god. BRASSEUR DE BOURBOURG, as quoted in BANCROFT'S _Native Races_, vol. ii, p. 699, foot note, says CUKULCAN, comes from _kuk_ or _kukul_, a bird, which appears to be the same as the _quetzal_, and from _can_, serpent; so that CUKULCAN in Maya is the same as QUETZALCOATL in Aztec. It is to be noticed how checks on the accuracy of any deciphering of hieroglyphs occur at every point, if we will only use them. The Maya equivalents of HUITZILOPOCHTLI and TLALOC are undoubtedly buried in the _chiffres_ already deciphered, but we have no means of getting their names in Maya from the rebus of the _chiffres_. In the cases of these two gods we got the _chiffre_, and the rebus is still to seek. In the case of _Quetzalcoatl_ or CUKULCAN, the rebus was the means of getting the name; and if the names of this divinity had not been equivalent in the two tongues, our results would have led us to the (almost absurd) conclusion that a god of certain attributes was called by his Aztec name in the Maya nations. Thus every correct conclusion confirms every former one and is a basis for subsequent progress. The results of this analysis are that the Maya god CUKULCAN is named in each one of the following _chiffres_, viz: Nos. 1009, 265, 2090, 2073, 2021, 3085, 2045, 3073, 3070, 3032, 1865, 265, 268?, 4291? 73?? I give the numbers in the order in which they are arranged in the card-catalogue. There is, of course, a reason for this order. BANCROFT, vol. iii, p. 268, says of QUETZALCOATL that "his symbols were the bird, the serpent, the cross, and the flint, representing the clouds, the lightning, the four winds, and the thunderbolt." We shall find all of his titles except one, the bird, in what follows. We must notice here that in the _chiffre_ 2021 and its congeners the bird appears directly over the head of CUKULCAN. It is plainly shown in the heliotype which accompanies Professor RAU'S work on the Palenque cross, though not so well in our Fig. 48. In what has gone before, we have seen that the characters 2021, 2045, 2073, 3073, 3085, 265, etc., present the portrait and the rebus of CUKULCAN. It will not be forgotten that in the examination of the question as to the order in which the stone inscriptions were read we found a number of _pairs_ in Plate LVI, Fig. 48; the characters 2021, etc., being one member of each. The other members of the pairs in the Plate LVI were 2020, 2044, 2072, 3072, 3084, etc. 264-265 is another example of the same pair elsewhere. I hoped to find that the name CUKULCAN, or 2021, was associated in these pairs with some adjective or verb, and therefore examined the other members of the pair.