The Dakotas reckon time by winters, and apply names to them instead of numbering them from an era. Each name refers to some notable occurrence of the winter or year to which it belongs, and has been agreed upon in council on the expiration of the winter. Separate bands have often fixed upon different events, and it thus happens that the names are not uniform throughout the nation. Ideographic records of these occurrences have been kept in several bands for many years, and they constitute the Dakota Winter-Counts (waníyetu wówapi) or Counts Back (hékta yawapi). They are used in computing time, and to aid the memory in recalling the names and events of the different years, their places in the count, and their order of succession. The enumeration of the winters is begun at the one last recorded and carried backward. Notches on sticks, war-shirts, pipes, arrows, and other devices also serve a mnemonic purpose. The Counts were formerly executed in colors on the hides of animals, but the present recorders make use of paper, books, pens, pencils, and paints obtained from the whites. The alignment of the ideographs depends to some extent upon the material on which they are depicted. On robes it is spiral from right to left and from the center outward, each year being added to the coil as the snail adds to its whorl. The spiral line, frequently seen in etchings on rocks, has been explained to me as indicating a snail shell. On paper they are sometimes carried from right to left, sometimes from left to right, and again the two methods are combined as in Battiste Good’s winter-count, which begins at the back of the book and is carried forward, _i. e._, from right to left, but in which the alignment on each page is from left to right. The direction from right to left is that followed in many of their ceremonies, as when tobacco is smoked as incense to the sun and the pipe is passed around, and when the devotees in the dance to the sun enter and leave the consecrated lodge in which they fulfill their vows. Among the Oglálas and the Brulés there are at least five of these counts kept by as many different men, each man seeming to be the recorder for his branch of the tribe. I obtained copies of three of them in 1879 and 1880, while stationed at Camp Sheridan, Nebraska, near the Pine Ridge Agency, Dakota. One winter count was made for me by Battiste Good, a Brulé Dakota, at the Rosebud Agency, Dakota, being a copy of the one of which he is the recorder. He explained the meaning of the pictographs to the Rev. William J. Cleveland, of the Rosebud Agency, to whom I am indebted for rendering his explanations into English. Several Indians and half-breeds had informed me that his count formerly embraced about the same number of years as the other two, but that Battiste Good gathered the names of many years from the old people and placed them in chronological order as far back as he was able to learn them.