Kan. Chicchan. Cimi. Manik. Lamat. Muluc. Oc. Chuen. Eb. Been. Ix. Men. Cib. Caban. Ezanab. Cauac. Ahau. Ymix. Ik. Akbal. If we commence with any other day the groups will contain respectively the same days, as, for example, if we begin with Ymix as here shown (Table IV). As I am inclined to believe the author of the plate adopted this order I shall use and refer to this table in speaking of these groups. TABLE IV. 1. 2. 3. 4. Ymix. Ik. Akbal. Kan. Chicchan. Cimi. Manik. Lamat. Muluc. Oc. Chuen. Eb. Been. Ix. Men. Cib. Caban. Ezanab. Cauac. Ahau. Examining the five names in the third column we find they are the same as those in the bottom line of the quadrilateral of the plate, and also in the same order. Those of the second column are the same as those in the left column of the plate, though not precisely in the same order; those in the first column the same as those in the top line of the plate, except that in our column we have Caban in place of Eb; and those in the fourth column the same as those in the right column of the plate, except that in our column we have Eb instead of Caban. I am satisfied, therefore, that the artist who made the plate has transposed the characters Eb and Caban; that in place of Eb, the left-hand character of the upper line, there should be Caban, and in place of Caban, the middle character of the right column, there should be Eb, and have made this change in my scheme (Fig. 2) and in Plate II. This, I admit, has the appearance of making an arbitrary change to suit a theory; but besides the strong evidence in favor of this change shown by the arrangement of the days in four columns just given, I propose to present other testimony. That the characters here interpreted _Eb_ and _Caban_ are the same as those given by Landa, and in the Manuscript Troano we have positive evidence in the tortous[TN-6] line in the outer space, of which we have already given an explanation. Hence there is no escape from the difficulty by supposing the artist had reversed the characters in their reference to the names. Either he has reversed them as to place, or we are mistaken in our supposition as to how the four groups were obtained.