It would be difficult to overestimate the importance of this fragment, for it proves to us that in Tiahuanaco, the swastika was a sacred symbol. Its association with the puma or ocelot, links it to the central figure on the monolithic doorway and, possibly, connects this with the Mexican identification of the ocelot with the Ursa Major, with “the lord who walks around,” or the lord of the underworld, Tezcatlipoca. The two forms of swastika seem to testify that, in Tiahuanaco also, the idea of the Above and Below prevailed and that the angular form symbolized the subdivision of the earth and the rounded one that of the heavens. The rows of personages sculptured on the doorway at each side of and facing the central figure seem to indicate that this commemorates an establishment of tribal organization. The distribution of the sculptured figures is as follows: 8 figures=2×4 } Central { 8 figures 8 figures=2×4 } 6×4 { 8 figures 8 figures=2×4 } figure. { 8 figures. The figures on the upper row to the right and left, making sixteen in all, are all alike—so are the sixteen figures on the second and the sixteen on the third rows. Without attempting to describe all the insignia which characterize the figures on each of the three rows, I refer the reader to the magnificent plates contained in Drs. Stübel and Uhle’s monumental work on the Ruins of Tiahuanaco, and merely note that each figure in the uppermost row exhibits a bird’s head in front of its head-dress. All figures in the second row are completely masked as condors. In the third row a tiger’s head decorates each head-dress. It is curious to find that whilst the birds’ and tigers’ heads designate their wearers as heads or chieftains, these emblems strikingly coincide with the classification of the highest Mexican warriors into two divisions, known as “the ocelots and the eagles.” If attention is bestowed upon the number of emblems or figures and their distribution it will be seen, in the first case, that the central figure exhibits on his person twelve tigers’ heads in all, _i. e._, six on his head, two on each arm and two on his breast-plate. Sixteen chieftains exhibit the same emblem and the carved fragment with the swastika appears to have originally exhibited sixteen tigers’ heads, distributed into homogeneous groups of four. It cannot be denied that the forty-eight figures on the doorway are first divided into two groups of twenty-four by being placed to the right and left of the central figure. Each division of twenty-four is grouped as 3×8, which is also 6×4, and yielding a total of 12×4 or 4×12 figures.