Slightly incoherent though this text may be, it furnishes a most valuable supplement to the descriptions of the same festival by other authorities. As this is exhaustively treated in my forthcoming text to the “Life of the Indians ” in which all available authorities are quoted and collated, I shall confine myself here to some facts which bear a special relation to the subject of this paper. In Mexico another name for the festival period Izcalli, was Xilomaniztli=the birth or sprouting of the young maize. According to Duran, izcalli signified “the creating or bringing up” and in order to make the growth of children coincide with that of the young maize, parents, during this period, stretched the limbs and every part of the bodies of all infants of tender age.

Another observance which was held at this time was in anticipation of the New Year and consisted in the raising and planting of high poles or wands with branches, in the courtyards of the temples and in the streets. These typified the new life; “the budding and rejoicing of the trees.” Another New Year custom was that of carrying budding branches or young shoots of maize in the hand, on a particular day named Xiuh-Tzitzquilo, literally, “the taking of the year in one's hands.” The explanation of this metaphor is given by Duran who states that “the natives consider that the year, with its months and days, is like a branch with its twigs and leaves.”

Briefly summarizing the foregoing data, we find it proven that, deeply impressed with the wonderful renewal of life in nature, the ancient Mexicans rendered periodical thanksgiving for this in its various forms. The budding tree, the young shoots of the maize, all seedlings, the broken egg-shells from which the young chickens had emerged, were adopted as emblems of the renewal of life. The child was likewise looked upon as the renewal of the human race and every four years a thanksgiving festival “of renovation” was solemnized in which children took a special part. In my work on the Calendar system I shall show how far this festival “of new birth” coincided with astronomical phenomena. From Landa we learn that in the Maya months “Chen or Yax,” on a day designated by the priest, a festival was celebrated named Ocna: “the renovation of the temple in honour of the Chacs, the gods of the maize-fields.” This was held each year ... all idols and incense-burners were renewed and if necessary the building was rebuilt or renovated and, “in commemoration of this, an inscription in the native characters was fixed to the walls.”

Referring to other chapters of Landa's work we find that, as in Mexico, the Yucatec children received a “child's name” at birth which was changed when, having accomplished the third year, they were “reborn” and received a new name, i. e. the combined name of their father and mother. On attaining puberty they obtained an individual name which they preserved during life-time. A knowledge of the social organization of these people enables one to grasp the full importance and significance of these changes of name, which were accompanied by ritual observances and betokened the enrolment of the children into their respective classes and sub-classes and a consequent reorganization of certain departments of the State. It appears that in ancient times the ceremonial of the “new birth,” or re-naming of the children, took place every four years, simultaneously with the thanksgiving feast for the “continuation of the human race.”

We learn from Duran that so careful a record was kept of the population, by the Mexican priesthood, “that not even a newborn babe could escape detection.” The reason for this strict vigilance is clear, for the welfare of the community and the harmonious working of the complex machinery of state depended upon the constant renewal of vacancies caused by deaths in each department of industry and government.

After this excursion into the realm of native thought let us now return to the Palenque tablets, placed in detached temples which approximately face the four cardinal points. On the tablet of the “Temple of the Cross” we have a tribal tree with symbols of the Middle and of the Four Quarters and of duality. A priest with a flower on his head presents a diminutive human figure to the totemic bird perched on the tree. Another, with a leafy branch on his head-dress, holds a conventional sceptre simulating a young growing shoot of maize. Behind each figure are rows of glyphs and in the upper corner to the left of the spectator is the septenary series headed by the initial-sign.

In the face of this possibility as well as the probability that each glyph was painted and implied a year, it is interesting to note that, including the initial glyph, the “Tablet of the Cross” exhibits 108 glyphs on the side to the left and 124 on the side to the right of the spectator=a total of 232; the “Tablet of the Cross II” exhibits 76 to the left and 83 to the right=159; and that in the “Temple of the Sun,” 70 to the left, 159 to the right and 12 in the middle=241. The “Temple of Inscriptions” exhibits the initial series (see Maudslay, Biologia, pt. x, pl. 82) and entire walls covered with glyphs, some of which, as on the tablets enumerated above, are accompanied by numerals whilst others are not.

In a future publication I shall submit illustrations of these monuments with the ripened results of my investigations concerning them. For my present purpose it suffices to have produced substantial proofs that the ancient dwellers in Palenque employed the same metaphors, the same cursive method of registration and held the same fundamental principles of organization that have been shown to underlie the civilizations of Peru, Guatemala, Yucatan, and Mexico and still survive amongst the Zuñis and more northern tribes. It is obvious that, at Palenque and the neighboring Menché and Ixkun, an integral civilization, based on these principles, had existed for an incalculable length of time. Strangely enough it seems to form so close a link between Maya and Mexican culture that it almost seems justifiable to surmise that both Maya and Nahuatl languages were spoken in these ancient ruined cities.

Reaching the ultimate stage of our mental exploration of the American Continent we now transport ourselves to the Valley of Mexico and, on the site of the ancient capital of Montezuma and his coadjutor, face the three great monolithic monuments which are popularly known as the Calendar Stone, the Stone of Tizoc and Huitzilopochtli. In 1886, at the Buffalo Meeting of the American Association for the Advancement of Science, I presented a “Preliminary Note of an Analysis of the Mexican Codices and Graven Inscriptions,” in which the opinion was advanced that the “Calendar Stone” was identical with the “circular elaborately carved tablets which, according to Padre Duran, were erected in each market-place in ancient Mexico, and were held in great veneration. They were frequently consulted and by them the market-days were regulated.”

“All writers concur in stating that the market was held on each fifth day, when all adults were obliged by law to resort to the appointed market-place. The entire produce and manufacture of the state were brought there, even from great distances, severe penalties being incurred by those who bartered the products of agriculture or manual labor on the highway or elsewhere. On the broad, straight, cemented roads which led from the four quarters to the heart of the capital, ‘resting places’ for the wayfarers and carriers were provided at fixed intervals. The enormous concourse of people, the variety of produce exhibited in the market-places of Montezuma's capital filled the conquerors with wonder and admiration. From Cortés, Bernal Diaz, Sahagun and others we learn that the market was a special charge of the supreme chief of Mexico; that appointed officers presided in state over it whilst others moved among the throng superintending the traffic. Standard measures were kept and rigorous punishment awaited those who sold by false measure or bartered stolen property.”

The monument represents the high-water mark reached in the evolution of a set of ideas, which were suggested to primitive man by long-continued observation of the phenomena of Nature and by the momentous recognition of the

The twenty familiar day and year signs of the native calendar are carved on a band which encircles the central figure on the stone. I am now in a position to prove satisfactorily that these signs were not merely calendaric and that they equally designated four principal and 4×4=16 minor groups of stars; four chiefs and 4×4=16 minor tribal groups or divisions of men.

As a synopsis of the whole, the following titles recorded in the chronicles would be applicable to the central ruler, celestial or terrestrial: the two lord, the divine twin; the two-lord and two lady; the quadruple lord, “He who looks in four directions;” the lord of the thirteen powers; the one lord, i. e. embodying a complete count=20; the lord of five (i. e. of the Middle and Four Quarters); of seven, i. e. of the Middle, Above, Below, and Four Quarters; of thirteen, i. e. of the duplication or male and female or celestial and terrestrial divisions of the Above, Below and Four Quarters plus the Middle.

Surrounding the central head are four square divisions arranged in two separate parts, each of which includes what appears to be in one case the right, and in the other the left, conventionalized claw (forepaw?) of an animal armed with hooked nails, such as Mictlantecuhtli, the lord of the North, is represented with.

One more point which will receive due attention in my monograph remains to be briefly noticed. As the symbol for air=east is situated to the right of the symbol for north, and the earth=west is to its left, it is clear that the central face is conceived as looking down from above upon the spectator. It is only when the stone is considered as placed face downward that the symbols assume their proper positions as regards the cardinal points. This reversal, which is the natural result of the association of the east and south with the right hand of the middle personage, suggests that the monolith may have been originally designed to be let into the flat or slanting ceiling of a building. As a parallel instance I will state that, some years ago, Señor Troncoso pointed out to me a fact he had noticed, namely, that the relative positions of the cardinal points on the Féjérvary chart were reversed and that it must have been intended to be looked at from underneath.

Each of the element symbols is accompanied by four numerals placed in the angles of the squares, with one exception, where one numeral was obviously dislodged from its proper position by an encroaching emblematic ornament. The positions of these numerals and of their square enclosures are what recalled to my mind the opposite positions assumed by Ursa Major in its annual rotation around the axis of the heaven. Just as the central face primarily represented Polaris, so these squares figured the four contrapositions of the great constellation. The peculiar, almost cross-shaped figure resulting from the union and association of the symbols of the Centre, and of the Above, Below, Right, Left=Four Quarters, is a well-known conventional sign, generally known as a “nahui-ollin.” The accepted translation of this name is “four movements,” from olinia, verb=to move, and no name could be more appropriate for a symbol which, to my idea, like the swastika, actually represents the movement of the most conspicuous of septentrional constellations to four opposite places.

Like the nahui-ollin the pyramid was an image or embodiment of the fundamental all-pervading principle. Both therefore equally expressed further meanings which I shall proceed to enumerate.

5. Four stars and also four star-groups or planets which seem to have been associated with the cardinal points and are indicated by four discs exhibiting two concentric circles and four glyphs placed around them. Although at a disadvantage, not being able to substantiate my statement here, I shall mention that, amongst the above, the Pleiades and the planets Venus and Jupiter doubtlessly figure, the latter as two evening and two morning stars.

6. The human lords of the four regions who respectively governed the four divisions of the population, who were classified as the Fire, Air, Water and Earth people, the identical classification being applied in turn to each class and so on ad infinitum.

7. Rotation or a movement encircling the four quarters imagined as “quadruple motion.” This was not confined to the Septentriones, for the ancient Mexican astronomers had recognized what they termed the “four movements of the Sun”—namely, its apparent rising in the east and progress to the north; and setting in the west and progress to the south. According to Leon y Gama, the first to describe the stone in 1832, the central “nahui ollin” portrayed the “four movements of the sun” and recorded the solstices and equinoxes. His opinion has since been shared by other writers, amongst whom I cite Señor Troncoso. According to Sir Norman Lockyer, moreover, the symbol does correctly and appropriately figure the annual course of the sun. It must be admitted that the invention of a figurative symbol which not only records the annual rotation of the circumpolar star-groups but also the annual apparent course of the sun is an achievement which has never been surpassed in primitive astronomy and merits admiration and recognition. The record of the periodical movements of the heavenly bodies, constitutes, at the same time naturally a register of the four seasons.

9. According to the distinguished Mexican scholar Señor Alfredo Chavero, the symbols in the nahui-ollin commemorated the four epochs of the world's history and I readily accept this as one of the many significations of the quadruplicate figure.

Leaving the nahui-ollin for the present, let us next consider the band, with compartments, which encloses it and exhibits the twenty symbols hitherto only known as calendaric signs,—four of which were year- as well as day-signs, whilst sixteen were day-signs only. Their relative positions show that they were intended to be read from right to left.

A profusion of evidence, however, exists showing that individuals bore the day-names as personal appellations, not only in Mexico but also in Central America. Amongst the Quichés for instance, members of the “Royal house of Cavek” are designated in the Popol Vuh, as three deer, nine dog, etc.

It thus follows that the twenty signs were not merely names of years and days, but also designated the tribes and clans. The element-symbols which marked every fifth day and the years and constitute the major signs, likewise were the names of the four great divisions of the people, and of their respective chieftains. On the other hand the 4×4=16 minor signs, applied not only to days but to the 4×4=16 clans. At the same time the element names conveyed in a general way the occupation of each of the four divisions of people as well as their places of abode in reference to the capital. Accordingly, the earth people would specially attend to agriculture, mining, the manufacture of pottery, etc.; water people to irrigation, the furnishing of drinks, fishing, etc.; the fire people to all occupations which had to do with fire: the procuring of combustibles for fire and lighting, cooking, the working in metals, etc.

Without going further into details for the present, I merely point out that the identical division of the members of each community and association with the elements, etc., was carried out throughout the state. This method clearly established the relation and also determined the geographical position of each class of people in reference to the whole.

The carved band on the Calendar-stone, with its twenty signs, determined once and for all time the exact position to be taken up in all public assemblages, in councils, sacred dances, and likewise controlled the exposition of the products of the land in the great market-place. What is more: each division of the people, by reason of its indissoluble union to one element and one region, also had its own season during which it led in ceremonial observances. So skilfully was the lunar ceremonial or religious year devised that each sign, without any distinction, ruled a period of thirteen days. At the same time the period fell into four divisions headed by the four principal or element signs.

In the solar or civil year, each sign had its day, but as the computation of years passed by, each sign in due rotation ruled during one year. It was only when each sign had had an equal rule that the cycle completed itself, and, in turn, became a part of a greater cycle of time. To realize the marvellous ingenuity with which the rotation of days and consequently the working of the entire machinery of state was carried on, it is necessary to have before one's eyes, a series of reconstructive tables, such as I have prepared for my paper on the subject. For the present, however, I trust that some idea of the harmonious organization of the state may have been conveyed to the reader.

Deferring further discussion of the native zodiac I will but point out what an intimate relation was thus established and maintained between star-groups and human beings; and how the periodical rotation and stations of the celestial bodies actually guided or, at all events, coincided with the periods of human activity in various branches.

One point about the twin serpents is clear; they are represented as springing from a square enclosing the symbol Acatl accompanied by 13 which has been generally interpreted as a calendar date. It seems to me to be more deeply significant than a mere date, especially as it appears to designate the point of departure for the progressive movement of the two serpents whose open jaws enclose human heads in profile which together form one face. The upper jaws end in two recurved appendages, each exhibiting seven star symbols. As these obviously typify night or darkness and the open jaws seem to threaten to absorb or engulf the ray of the sun pointing downwards, it appears as though these typified a disappearance of light into the underworld of darkness and destruction.

The symbolical surroundings of the downward ray are in striking contrast to its opposite, the upward ray, which reaches to the 13 Acatl sign and points to what appears to be the place of origin or birth of the twin serpents. It certainly seems that this all-embracing and enfolding twin pair are designed to typify the dual forces of nature under a form which would also express quadruplication. By what must be termed a stroke of genius the designer of the monolith chose to represent the forms of two serpents, relying upon the fact that Nahuatl-speaking people would see in each serpent (=coatl) a twin (=coatl). Did he not also realize that to a Maya each serpent (=can) would mean 4 (=can) and that the pair would appear to embody or express the numerals 4 and also 8?

Under different aspects the same theme repeats itself again and again upon the stone, which proves that the master minds who planned and wrought it destined it to be the image of a plan based on the idea of a central and yet all-embracing, dual, yet quadruple force or power.

The preceding rapid sketch I have given of the wide-reaching significance of this remarkable monument will, I hope, be found to amply support and corroborate the view I advanced in 1886, when I pointed out that the “Calendar-stone” answered to the description given by Duran, of the “circular elaborately carved tablets which were kept in each market-place and were held in great veneration.” I trust that it is now clear why it should have been frequently consulted and why the market-days were regulated according to the carved indications upon the surface. Engraved upon it were the Great Plan and its laws of organization and rotation. It clearly determined, once and for all, the sequence of the days; the relation of all classes of the population to each other and to the whole, and set forth not only the place each group should occupy in the market-place, but also the product or industry with which it was associated and the periods when its contributions to the commonwealth should be forthcoming in regular rotation. The stone was therefore not only the tablet but the wheel of the law of the State and it can be conjectured that its full interpretation was more or less beyond the capacity of all but an initiated minority, consisting of the elders, chiefs and priests.

Thirteen years of painstaking research have only served to strengthen me in my interpretation of the “Sacrificial-stone.” The frieze around it exhibits sixteen groups, each consisting of the repeated representation of a warrior characterized by having one foot only. In each case he is figured as seizing by the hair a different individual, who bows his head and offers the weapon he holds in his right hand to his victor. Amongst the sixteen subjugated personages are two women and above each are hieroglyphs expressing the names of well-known localities, some of which are mentioned in native chronicles as having been conquered in historical times by Mexican rulers.

In my account of the Plan of the Ancient City of Mexico, I shall illustrate these hieroglyphs, locate the places to which they refer and further discuss this monument. Meanwhile I shall but state that it undoubtedly belongs to the same category of monuments as the tablets in the “Temple of the Sun” at Palenque; the bas-relief at Ixkun and that in the house of the “Tennis-court” at Chichen-Itza where warriors in a procession render homage to a seated personage, by presenting their spear-throwers to him in precisely the same manner as shown on the Mexican Tribute-Stone.

The upper surface of this exhibits the same division into eight parts, marked by four large and four smaller rays, pointing to the quarters and half-quarters. Observation shows that of the sixteen localities four were assigned to each quarter and it is evident that the monument determined the time and the order in which the tribute for each was paid and collected at the capital. The one-footed man again graphically symbolizes axial rotation and conveys the idea of a central ruler who in turn seizes and exerts control upon 4×4 tribal chiefs. The monument establishes, moreover, the interesting fact that amongst the subjugated communities were two gynocracies, represented by women who, instead of spear-throwers, present their weaving shuttle to the victor.

We shall next consider a monument whose uncouth and ugly form embodies a deep and nobly planned conception of the “divine twin,” or “divine Four,” that so completely dominated the minds of the native philosophers.