Science in Ancient Artwor Series and Extracts: Earth/matrix

by
Charles William Johnson

Titles of essays and extracts published in the Earth/matriX series on the
mathematical and geometrical analyses of ancient artwork

Essays

1) The Integer (20) Calendar Reckoning and Astronomical Tables: Ancient Mexico.
2) The Aztec Calendar: The Pointer.
3) The Aztec Calendar: Patterns Within the Day-Glyp Ring.
4) The Aztec Calendar: Spatial Divisions.
5) The Aztec Calendar: Spatial Divisions of the 365c, 584c, and 780 Calendar Rounds.
6) Squaring the Circle: Methods of Calculation.
7) Encuentro entre Teotihuacan y Tenochtitlan.
8) The 260c Calendar: A Possible Origin.
9) The Temple of Quetzalcoatl: A 64/66 Count.

10) The Aztec Calendar: The Inner Rings ---A Possible Method of Calculation.
11) Cosmic Time: The 260c Calendar.
12) Numbers in Ancient Mesoamerica: Duplatio and Mediatio.
13) The Aztec Calendar: The Ring of Flames.
14) The Aztec Calendar: The Ring of Serpents.
15) The Legend of the Four Suns.
16) The Maya Long Count and the Sidereal Orbit of Venus.
17) The Reckoning Systems of Ancient Mesoamerica: The Synodic and the Sidereal Orbits of Venus
18) The Reckoning Systems of Ancient Mesoamerica Day-Count and Constant Numbers.
19) The Method of Calculation of the Reckoning System of Ancient Mesoamerica.

20) Time-Keeping in Ancient Mesoamerica.
21) The Logic of Numbers in Reckoning Systems of Ancient Mesoamerica.
22) The Precession of the Equinoxes and the Reckoning System of Ancient Mesoamerica.
23) The Ancient Reckoning System: Computation and Design.
24) The Reckoning System of Ancient Mesoamerica and the Sothic Cycle of Ancient Egypt.
25) The Maya Long Count and the Alautun Cycle.
26) Pakal, The Maya Astronaut: A Study of Ancient Space Travel.
27) Pakal: The Cosmic Principle of the Creation of the Universe.
28) Pakal: Ancient Galaxies and Nebulas.
29) The Hidden Numbers of K'awil.

30) K'awil: A Hidden Constant ?.
31) The Ancient Reckoning System and the Logic of Numbers: .625.
32) The Ancient Reckoning System and the Companion Number: 1366560.
33) Khufu (756c) and K'awil (819c).
34) The Mathematical Origin of the 360 Day-Count.
35) The 360c Square: A Design.
36) The Maya Long Count: Time Cycles in Terms of Distance.
37) The Numbers of the Universe and the Ancient Reckoning System of Mesoamerica.
38) The Maya Long Count and Spacetime/movement.
39) Measurement and the Coincidence of Numbers and Proportion in Reckoning Spacetime Events.

40) The Numbers of the Solar System and the Maya Long Count.
41) The Circle: Its System of Measurement.
42) The Circle: A Division of Five.
43) Numbers and Patterns.
44) The Maya Long Count: Some Calculations.
45) The Companion Numbers: The Ball Game.
46) The Maya Long Count: Mediato/Duplatio.
47) Fermats Last Theorem and the Maya Long Count.
48) Fractals and the Maya Long Count.
49) Algebraic Reasoning in the Maya Long Count: the Positional Level Numbers.

50) Geometrical Translations of the Ancient Reckoning System of Mesoamerica.
51) Fermats Conjecture: the Last Theorem.
52) Related Numbers of the Maya Long Count.
53) The Maya Long Count and the Right Triangle.
54) A Critical Commentary on Chaos Theory and Fractal Geometry: the Analysis of a Snowflake.
55) Fermat, Pythagoras, and the Maya Long Count.
56) The Maya Long Count: an Extension of the Pythagorean Theorem and an Emendation to Fermats Last Theorem.
57) The Pythagorean Theorem and Its Extension: the Progression of Numbers of the Right Triangle and the Maya Positional Level Numbers.
58) The Pythagorean Theorem: An Alternative Expression for Some Right Triangles.
59) A Possible System of Multiples and Powers in the Maya Long Count.

60) Computing Math and Geometry.
61) The Periodic Table.
62) The Periodic Table: The Numbers.
63) A Response to Fermat's Conjecture: x - y - z.
64) The 3-4-5 Perfect Right Triangle: 5-12-13 & 6-8-10.

65) Multiples and Additive Numbers in the Computation of Powers.
66) The Maya Long Count Fractals as a System of Conversion.
67) The Maya Long Count as Powers: 1.059463094.
68) Music and Numbers.
69) The Maya Long Count and Constant Numbers.

70) The Octave: Tuning at A432 or F432.
71) The Reciprocal of Seven: .142857.
72) Thirteen.
73) The Sothic Cycle: 693 (1649.457812).
74) Ancient Reckoning: A Single System.
75) The 360-Day Calendar: A Mathematical Choice.
76) The Maya Long Count: 1872000
77) The Great Pyramid.
78) The Maya-Kemi Time Reckoning System
79) Retranslating Math and Geometry of the Maya and the Kemi.

80) Ancient Floorplans and Artwork: A Basic Design.
81) Teotihuacan: Orbits and Cycles.
82) A Geometrical Abacus: 1·27·216·512·756
83) Pyramidal Design: 1³·3³·6³·8³·9³
84) The Aztec Hummingbird.
85) The 5·12·13·10 Basic Design
86) The Reciprocal of Seven: Squaring the Circle.
87) The Ancient Reckoning System: A 378-Degree Circle.
88) The Aztec Calendar: Math, Geometry and Design.

90) Lagrangian Points and the Aztec Calendar.
91) Quetzal, Coatl and the Sacred Fire.
92) The Five-Point Lagrangain Design on the Aztec Calendar.
93) The Tails of the Serpents in the Aztec Calendar.
94) The 13 Acatl Glyph in the Aztec Calendar.
95) Centering the Four Directions on the Aztec Calendar: 13689.

101) Trigono/metriX: the Trigonometric Table and Ancient Reckoning
102) The Concept of Pi and the Ancient Reckoning Numbers (Trigono/metriX)
103) The Reciprocal of Seven and Pi in the Ancient Reckoning System
104) The 7:8 Ratio Design of the Aztec Calendar.
119) Patterns of Time Cycles and Orbits: Ancient Mesoamerican Calendars.

120) The Radian and the Anti-Radian: A Method of Reckoning
122) The Binary System
122-b) Ancient Numbers in Differential Equations
123) Ancient Numbers: Some Computations
124) Ancient Encoded Numbers: The Speed of Light
126) The Solar System, The Great Pyramid and, Maya/Kemi Ancient Reckoning

Extracts

1) The Extension of the Pythagorean Theorem and the Maya Long Count.
2) Fermat's Last Theorem.
3) The Maya-Kemi System: 360c.
4) Powers and Roots the Ancient Reckoning System.
5) The Precession: 151840
6)The Maya-Kemi Baseline: 1-6-8-9.
7) Pyramids of Egypt: Precession Numbers and Degrees of Angles.
8) The Great Pyramid: the Basic Design.
9) Computers and the Ancient Reckoning System.
10) The Pyramids of Giza and Teotihuacan.

11) Giza and Teotihuacan: 5-12-13.
12) The Basic Design and Archaeological Finds: the Hall of Records.
13) Reflection in Teotihuacan.
14) Perfect Right Triangles and the Maya Long Count.
15) The Great Pyramid: Measurement and the Precession.
16) The Work of Carl P. Munck: The Code.
17) Maya and Kemi Numbers: Multiplication.
18) The Platonic Year & the Maya Long Count: Fractal.
19) A Mathematical Constant: 288
20) Symbolism in the Sothic Cycle Number 1649.457812

21) The Sothic Cycle and the Maya Venus Cycle.
22) The 9 baktuns of the 9.0.0.0.0 Baseline of maya History on the Aztec Calendar.
23) Four Movements on the Aztec Calendar.
24) The Legend of the Four Suns: Math, Geometry, and Design
26) Ancient Pi : Knowers of the Universe
27) The Platonic Year and The Nineveh Constant (25920:22680)
28) The Great Pyramid: Measurements.
35) Radioactive Decay: .693
36) 9 Factorial [9!]: The Ancient Reckoning System.
38) Fermat's Last Theorem: Powers and Last-Digit Patterns,
(Relations of Non-Equivalency and Approximate Equivalency)
39) Cosmic Microwave Background: The Temperature of the Universe (2.728)
40) The 1872 Number Series.

43) The Upsilon Andromedae System.
44) A Kemi-Mesoamerican Language.
46) Linguistic Correspondence: Nahuatl and Ancient Egyptian.
54) The Rotation of the Sun and Ancient Reckoning
55) The Common Denominator of the Ancient Reckoning System: 1.142857
57) The Speed of Light as of Ancient Reckoning.
58) Numerical Differences and Patterns in Maya Long-Count Dates
59) The Extension of the Pythagorean Theorem to the Cube: Perfect Right Triangles and the Isosceles Triangle

60) The Phases of Venus: 144:441.
61) The Maya / Nineveh / Kemi Connection: 576 : 195,955,200,000,000 : 756
62) The Distance of the Planets from the Sun And Their Atmospheric Composition.
63) The Venus Numbers.
64) Hubble's Constant and Planck's Constant: Ancient Reckoning.
65) The Astronomical Unit (AU): Mercury/Sun Distance.
66) Patterns of Symmetry among the Planets: Mercury/Sun as Astronomical Unit.
67) Escape Velocity: Planetary Reckoning.
68) The Solar System as Maya Long-Count.

71) Measuring Space-time/Movement
72) The Geodetic Foot: the 1296c Factor
73) The Precession of the Maya: 136656 + 9360000 = 9496656
76) The Geometry of Ancient Sites: A Geo-Grid
78) Was Wegener Wrong?. Tectonic Plates, Continental Drift and The Symmetry of the Continents
80) Fractal Values of Selected Fundamental Physical Constants: Ancient Reckoning and CODATA Reckoning
81) The Nineveh Number and The Fundamental Constant "Acceleration Due to Gravity" (979.776 : 979.732)

Notebook Series

Teotihuacan: Some Basic Designs (3·4·5·6 and 5·12·13·10).

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Titles of essays and extracts published in the Earth/matriX series on themathematical and geometrical analyses of ancient artwork

Essays

Extracts

Notebook Series

Titles of essays and extracts published in the Earth/matriX series on the
mathematical and geometrical analyses of ancient artwork