- Computing Math and Geometry. Science in Ancient Artwork Nš60,
New Orleans, 1996.
- The Periodic Table. Science in Ancient Artwork
Nš61, New Orleans, 17 June 1996, 16pp.
Extract: In this essay, we have attempted to visualize the periodic table of elements in a manner distinct from that which is generally presented in most textbooks on the subject. Such a distinctive view caused us to reconsider the extranuclear electron count, i.e., the number of electrons within each shell/sphere of each element. Then, the numbering system was subjected to considerations of multiplication, which once again produced fractals and numbers relevant to those of the ancient reckoning system of Mesoamerica. The positional level design of the maya long count, also suggests a similar conception of the positional level changes that are undergone by the elements in the values of their extranuclear electron count.
Finally, the visual images that are produced by the grid system of the extranuclear electron count numbers appear to be highly suggestive of pyramidal designs within ancient cultures.
- The Periodic Table: The Numbers. Science
in Ancient Artwork Nš62, New Orleans, 19 June 1996, 10pp.
Extract: The extranuclear electron count of the elements of the periodic table are analyzed as of their multiples and patterns. The numbers illustrate the two distinct multiple series (8, 16, 32, 64..., and 9, 18, 36, 72...) which are also representative of the system of the maya long count fractals/numbers. The patterns established by the elements of the periodic table reveal numbers that have not appeared on the table, being substituted by numbers which are historically significant for the ancient reckoning system of Mesoamerica and other parts of the world. It is difficult to accept the postulate that ancient maya may have known the infinitely large as well as the infinitely small of the Universe. Yet, what becomes obvious from this analysis of the extranuclear electron count of the elements is that the ancient maya long count and the historically significant numbers of the ancient reckoning system could have easily served in such computations.
- A Response to Fermat's Conjecture. Science in Ancient Artwork
Nš63, New Orleans, 10pp.
- The 3-4-5 Perfect Right Triangle: 5-12-13 & 6-8-10.
Science in Ancient Artwork Nš64, New Orleans, 7 July 1996, 12pp.
Extract: In this essay, we have attempted to understand the computation occurring within the Pythagorean Theorem's terms, as expressed in the algebraic expression x² + y² = 2. We have also seen that it is possible to express the series of numbers related to the 5 - 12 - 13 perfect right triangle numbers in progression as of an alternative expression for the Pythagorean Theorem:
x² = 12 + 13.
The two series of perfect right triangles (6-8-10 and 5-12-13 and their corresponding progressions) establish a series of numbers (fractals; multiples; divisors) that are themselves a feature of the two distinct reckoning systems of ancient Mesoamerica, based on a 360c and a 260c respectively. It is for this reason, that one might consider the possible design in terms of mathematical expression of the maya long count (the tun; 360c), and the tzolkin (260c) as being related to a knowledge of the percentile workings of the equation of the Pythagorean Theorem.
- Multiples and Additive Numbers in the Computation of Powers.
Science in Ancient Artwork Nš65, New Orleans, 1996, 11pp.
- The Maya Long Count Fractals as a System of Conversion. Science
in Ancient Artwork Nš66, New Orleans, 4 August 1996.
Extract: The reason for being of the maya positional level numbers/fractals continues to be a mystery of the ancient reckoning system of Mesoamerica. The fractals reflect a natural series of numbers, yet the very fact that these numbers were chosen by the maya for their system of reckoning implies a deeper knowledge about matter and energy than is often attributed to the maya. In the Earth/matriX series of essays, we have explored how the computations may have been derived for the historically significant numbers found in the ancient record. In this essay, we illustrate how the maya long count fractals serve as a system of conversion for numbers related to the Precession and, specifically, to the k'awil count (819c) The ancient reckoning system appears to be based on a system of prime divisors, which is explored regarding the system of conversion itself.
- The Maya Long Count as Powers: 1.059463094
.
Science in Ancient Artwork Nš67, New Orleans,
- Music and Numbers. Science in Ancient Artwork Nš68, New Orleans,
1996.
- The Maya Long Count and Constant Numbers. Science in Ancient
Artwork Nš69, New Orleans, 7 August 1996.
Extract: The maya long count, based on the 360c (tun) is shown to be relational to the 64c, 48c and 52c through the mediatio/duplatio method of computation and the procedure of addition and subtraction. These same series of numbers have been illustrated as related to the 3-4-5 perfect right triangle in previous essays. The manner in which the mathematical computations obtain reveals distinct ways in which numerical information may have been encoded into the different counts.