Science in Ancient Artwork Series

Charles William Johnson

Abstract Series Num. 30-39

  • K'awil: A Hidden Constant ?; Science in Ancient Artwork Nš30, New Orleans, 12 September 1995, 6pp.


    The author analyzes further the 819c associated to the K'awil glyph/figure. By applying the mediatio/duplatio method to the 819c, one may observe various numbers which may have acted as numerical constants in mathematical computations of whole cycles and their fractions in the ancient reckoning system of Mesoamerica. Efforts are made to explore further the internal logic of the relationships reflected in the historically significant numbers of ancient Mesoamerican calendrical systems.

  • The Ancient Reckoning System and the Logic of Numbers: .625; Science in Ancient Artwork Nš31, New Orleans, 5 October 1995, 9pp.


    The author analyzes the possible relationship of the .625 ratio regarding significant numbers from the reckoning system of ancient Mesoamerica. The .625 ratio has been identified as possibly reflecting the orbital times between Earth and the planet Venus (synodic and sidereal orbits). The different day-counts of 260, 360, 365 and 584 days would all appear to be related by way of the .625 ratio in this respect. The essay brings forth the idea that the .625 ratio may well have served as a basis for the logic of numbers found in the ancient reckoning system of Mesoamerica.

  • The Ancient Reckoning System and the Companion Number: 1366560; Science in Ancient Artwork Nš32, New Orleans, 6 October 1995, 10pp.


    The author explores the companion number, 1366560, which has been cited in the historical record of the ancient reckoning system of Mesoamerica. The 1366560 figure is examined in the light of the 260c, 360c, and 365c day-count systems. Two different sets of numbers appear in relation to the 360c and the 365c, which function as of the 260c cycle numbers and the maya long count numbers (360, 7200, 144000, etc.). The companion number 1366560 allows for a translation among the different systems, and examples of possible computational methods are illustrated in this essay. The mediatio/duplatio method is shown to be extremely relevant to comprehending the nature of the ancient reckoning system.

  • Khufu (756c) and K'awil (819c); Science in Ancient Artwork Nš33, New Orleans, 7 October 1995, 7pp.


    The author explores a possible relationship between the 756c of the measurement of the Great Pyramid of Khufu and the 819c of the glyph/sign of K'awil of the maya cultures (Palenque, Yaxchilan, Quirigua), with respect to the ancient reckoning system based on the 360c. Further remarks are made regarding a possible relationship with the Sothic cycle of ancient Egypt and the measurements of the site of Teotihuacan in Mexico.

  • The Mathematical Origin of the 360 Day-Count; Science in Ancient Artwork Nš34, New Orleans, 8 October 1995, 8pp.


    The author attempts to establish a possible origin for the 360c day-count that is found in distinct reckoning system throughout the ancient world. The analysis follows upon the procedures that have been identified, such as mediatio/duplatio, numerical progressions, and specific relations that are often related in geometry. The numbers of the ancient reckoning system appear to obey computations based on the idea of fractals and a floating decimal place, which allows for computations from days to years and other cycles with relative ease.

  • The 360c Square: A Design; Science in Ancient Artwork Nš35, New Orleans, 12 October 1995, 10pp.


    We have attempted to consider the different day-counts as of their fractals (260c and 36c) with respect to patterns of geometrical progression and their expression of annotation on a grid/square-like structure. Having done this has allowed us to perceive certain patterns that are not contradictory to those found in the historical record. It does not require much imagination to conceive of the ancient artists having developed such a grid system; in fact, examples of this kind of drawing aid have been observed in ancient Egypt; grid-like markings can still be found on some of the unfinished artwork. The square-like patterns are found throughout Mesoamerican cultures on buildings and pyramids.

  • The Maya Long Count: Time Cycles in Terms of Distance; Science in Ancient Artwork Nš36, New Orleans, 31 October 1995, 6pp.


    The author explores a possible relationship between the numbers of the maya long count and their expression in terms of spatial coordinates of distance travelled by the solar system and its planetary bodies. The maya long count refers to time reckoning and its numbers are generally cited as expressing day-counts and time-cycles. However, the same numbers represent fractals of distance expressed in miles and the velocities of the Earth and the Sun. Furthermore, those same numbers harbor a direct relationship to cycle-numbers (52c) and to the companion number 1366560, relationships which are fat too coincidental to be ignored; especially when one considers that the time-cycles reflect precisely the orbital times of those bodies.

  • The Numbers of the Universe and the Ancient Reckoning System of Mesoamerica; Science in Ancient Artwork Nš37, New Orleans, 1 November 1995, 8pp.


    The different calendrical day-counts of 260c and 360c appear to be easily and evenly related to numbers representing events within the Universe. The numbers that relate to and represent the velocities of the Earth and the Sun, alongwith the speed of light, relate to the maya long count through whole cycle computations. The data would seem to suggest that the ancient reckoning system of Mesoamerica could be employed to account for computations of these different astronomical events within the solar system and within the Universe.

  • The Maya Long Count and Spacetime/movement; Science in Ancient Artwork Nš38, New Orleans, 3 November 1995, 6pp.


    It has often been cited that the ancient cultures were concerned with counting whole cycles of time regarding the planetary bodies of the solar system. We have also pointed out in earlier writings that by counting time, one necessarily is counting space as well. For reality exists as spacetime. Furthermore, spacetime is movement. In the essay Earth/matriX 37, we pointed out how the maya long count, a 360 day-count may also be related to the numbers of the Universe that pertain to the velocity of the Earth, the Sun, and even that of light. That may be simply a feature of numbers in and as of themselves; that they are relational among themselves outside of the events being considered. However, there would be some relationships of coincidence among the numbers that might cause one to believe that the ancient maya system of the long count may have actually taken into account the speed of light, which has been clocked at 186,000 miles per second. The numbers of the maya, often cited by researchers are notoriously long.

  • Measurement and the Coincidence of Numbers and Proportion in Reckoning Spacetime Events; Science in Ancient Artwork Nš39, New Orleans, 5 November 1995, 7pp.


    The author considers the problems of researching the ancient reckoning system from the perspective of comparative numbers. As such, numbers have their own rules and behave accordingly. The simple drawing of coincidences of numbers has its pitfalls. However, one must distinguish between the behavior of numbers, mathematics, the laws geometry, etc., and numbers and measurements that have been singled out and assigned specific meanings in the ancient reckoning systems. Making such a distinction may allow us to better comprehend the very nature of the ancient reckoning system and determine whether such system as the 260c and the 360c were products of human error of human design.

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