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Detailed Contents of the Sacred Geometry Modules
SG101 though SG108 / Introductory Cycle
and SG201, SG202, SG203A, SG203B, SG204 / Intermediate Cycle

 

SG101 - Sacred Geometry: Universal Order & Beauty

Introduction
1. Sacred Geometry: A Mystical Path
1.1 Words from Aya, the Spirit Pilgrim
1.2 SG: Art of Contemplation (1-3)
1.3 Source Wisdom
1.4 Why SG Now?
1.5 Words from Aya, the Artist (1-2)
1.6 The Big Secret (1-3)
1.7 A Golden Web of Light (1-3)
2. SG: Key to a New Paradigm
2.1 Universal Wholeness (1-3)
2.2 What is There for You? (1-2)
2.3 The Evidence for SG
2.4 Scientific Faces of SG (1,2)
2.5 SG on the Web
2.6 Clearing Misconceptions (1-2)
2.7 Knowledge & Mystery
2.8 Welcome!
3. SG: A Perennial Wisdom
3.1 SG: Definitions (1-3)
3.2 SG: Quotes (1-2)
3.3 An Ancient Canon of Harmony (1-3)
3.4 What is Harmony? (1-2)
3.5 The Universe as Music (1-3)
3.6 Mathematics: Universal or not? (1-3)
3.7 The Infinite Sphere
4. SG: A Yoga of Perception
4.1 Vision, Perception & Reality (1-3)
4.2 Background & Foreground (1-3)
4.3 Pattern Recognition (1-2)
4.4  Stereo Viewing (1-3)
4.5 The Ajna Chakra (1-2)
5. Sacred Geometry: Toys & Tools
5.1 The Square and the Compass
5.2 A Gallery of Compasses (1-3)
5.3 The Builder’s Square (1-2)
5.4 An Encompassing Art (1-2)
5.5 The Geometric Act of Creation (1-3)
5.6 The Union of Square & Circle (1-3)
5.7 The SG Protractor  (1-2)
5.8 13-Knots Cord  (1-2)
5.9 Phi Grids (1-3)
6. Basic Geometry: Definitions
6.1 Angles & Polygons (1-2)
6.2 About Triangles (1-3)
6.3 About Spirals (1-2)
6.4 3D Geometries
6.5 Hyper-Dimensional Geometries
Conclusion

 

SG102 - History & Traditions of Sacred Geometry

Introduction
1. Proto Sacred Geometry
1.1 Egyptian sites & artifacts (1-10)
1.2 Vedic Mathematics (1-3)
1.3 Megalithic sites (1-5)
1.4 Babylonian Mathematical Tablets
1.5 Neolithic Polyhedral Spheres (1-2)
2. School of Pythagoras
2.1 The Life of Pythagoras of Samos (1-3)
2.2 How Pythagoras Healed by Music & Words (1-2)
2.3 The Aphorisms of Pythagoras
2.4 The Pythagorean Heritage in the West (1-3)
2.5 The Holy Tetraktys
2.6 The Shape of Numbers (1-4)
2.7 The Father of Music Harmony
2.8 The Lambdoma & Pythagorean Table (1-2)
2.9 The Comma of Pythagoras
2.10 Cosmic Harmonia
3. Classical Period
3.1 Early Greek Mysticism
3.2 Phi in the Greek Statuary
3.3 Plato (1-5)
3.4 Greek Theater at Epidaurus
3.5 Euclid - The  Elements (1-2)
3.6 The Circle Geometries of Archimedes
3.7 Hellenistic Alexandria
3.8 Neo-Pythagoreans (1-2)
3.9 Neo-Platonicians
3.10 Vitruvius (1-2)  The Ten Books
3.11 Roman Dodecahedra
World Wide Sacred Geometry
4. Middle Ages in the West
4.1 Boethius
4.2 Islamic Golden Age (1-4)
4.3 Jewish Kabbalah & Gematria
4.4 Leonardo da Pisa (1-2)
4.5 Algorism & Abacism
4.6 The Seven Liberal Arts
4.7 The School of Chartres
4.8 The Age of the Cathedrals (1-5)
4.9 The Notebooks of Villard de Honnecourt
4.10 Ludus Philosophorum
5. Renaissance
5.1 European Renaissance (1-2)
5.2 Luca Pacioli (1-3)
5.3 Leonardo da Vinci (1-2)
5.4 Phi in the Renaissance Art
5.5 Albrecht Dürer (1-2)
5.6 Intarsia Art
5.7 Johannes Kepler (1-3)
5.8 Galileo
5.9 Robert Fludd (1-2)
5.10 Jacques Bernoulli
Conclusion
SG in Modern & Contemporary times
List of Sacred Geometry Landmarks
Credits & References
Readings

 

SG103 - Sacred Geometry: A Grand Tour

Introduction
1. Basic Principles
1.1 PHI, the Golden Ratio
1.2 The Fibonacci Numbers (1-4)
1.3 The Golden Rectangle & Spiral (1-3)
1.4 The Pentagon & Pentagram (1-8)
1.5 Golden Geometries (1-2)
1.6 Vesica Piscis (1-4)
1.7 Flower of Life (1-3)
1.8 Platonic Solids (1-8)
1.9 Archimedean Solids (1-4)
1.10 Kepler-Poinsot Solids
1.11 Hyper Platonics
1.12 The E-8
1.13 The Power of Numbers
1.14 Magic Squares
1.15 Languages & Gematrias
2. A Grand Tour: Nature & Cosmos
2.1 Atoms (1-2)
2.2 Molecules (1-4)
2.3 DNA (1-4)
2.4 Tetrahedral Biology
2.5 Minerals & Crystals (1-5)
2.6 Animals (1-5)
2.7 Plants & Phyllotaxy (1-5)
2.8 Harmonics of the Human Body (1-6)
2.9 The Grids of Gaia (1-2)
2.10 Celestial Harmonics (1-6)
2.11 Cosmic Harmonics
3. A Grand Tour: Culture & Civilizations
3.1 Music (1-3)
3.2 Cymatics (1-5)
3.3 Visual Music (1,2)
3.4 Sacred Geometry in Science (1-5)
3.5 Geodesics (1-5)
3.6 Art (1-8)
3.7 Vesicas in Ethnology
3.8 Green & Eco-Design (1-8)
3.9 Architecture & Sacred Sites (1-11)
3.10 Culture (1-4)
3.11 Crop Circles (1-5)
3.12 Mandalas & Yantras (1-3)
3.13 Universal Symbols
3.14 Pioneers of the 20th Century
3.15 Sacred Geometry in Healing (1-7)
3.16 Earth Paradise
Conclusion

 

SG104 - PHI: the Golden Ratio & the Fibonacci Series

Introduction
1. The Fibonacci Series
1.1 Leonardo da Pisa (1-3)
1.2 The “Rabbit Problem”
1.3 The Fibonacci Series (1-3)
1.4 History of the F Series (1-2)
1.5 The Binet Formula
1.6 Fibonacci Numbers & PHI (1-3)
2. The Golden Ratio PHI
2.1 PHI of Many Names
2.2 The Shape of PHI (1-3)
2.3 Ratios & Proportions
2.4 Meet the Golden ratio PHI (1-2)
2.5 Math of PHI (1-2)
2.6 PHI Major & PHI Minor
2.7 Figuring PHI (1-2)
2.8 A Fraction of Oneself (1-2)
2.9 PHI & Five
2.10 PHI in Trigonometry
2.11 Roots & Powers of PHI (1-2)
2.12 Holographic Nature of PHI
2.13 PHI Dating Among Waves
2.14 PHI in 3D
3. Basic PHI Constructions
3.1 Square (1-3)
3.2 Double Square (1-3)
3.3 Triangle (1-3)
3.4 Circle (1-2)
3.5 PHI Grids
3.6 PHI & Fibonacci Gauges
4. More PHI Constructions
4.1 Angle Bisection
4.2 Arbelos (1-2)
4.3 Three  Circles
4.4 Ellipse & Circle (1-2)
4.5 Little PHI House
4.6 Diameter Golden Rectangle (1-2)
4.7 Cross & Square
4.8 Penta
4.9 PHI in Kepler’s Triangle
5. The PHI-Fibonacci Flowering
5.1 Fibonacci Quarterly (1-2)
5.2 Special Properties of F Numbers
5.3 The Magic of 1/89 (1-2)
5.4 Deep Structure of F Series (1-5)
5.5 Pascal’s Triangle &F Nbs (1-5)
5.6 The Golden Ring
5.7 Other F Family Members
5.8 The Lucas Series (1-2)
5.9 Lusus Numerorum
6. Ubiquity of F Numbers
6.1 F Numbers in Atoms
6.2 PHI in Quarks & E-Infinity
6.3 F Numbers in Optics
6.4 F Numbers in Fractals
6.5 F Numbers in Nature
6.6 F Numbers in DNA
6.7 F Numbers in Culture (1-4)
6.8 PHI Aesthetic Preferences
6.9 The Modulor (1-3)
6.10 Golden Nuggets
6.11 Golden Rule
6.12 Golden Ratio Progressions
Conclusion

SG105 - The Golden Rectangle & Golden Spiral

Introduction
1. The Golden Rectangle
1.1 Golden Rectangle (1-2)
1.2 Golden Rect - Square (1-3)
1.3 Golden Rect - Diagonals (1-2)
1.4 Golden Rectangle - Pentagram
1.5 Golden Rectangle - Vesica
1.6 Golden Rectangle - Circle (1-2)
1.7 Rope Construction
1.8 Golden Rect Fractals (1-2)
2. Golden Grids
2.1 Golden Rect Preferences (1-2)
2.2  The Modulor (1-4)
2.3 Phi Golden Ruler
2.4 Phi Grid (1-2)
2.5 Orthogons
2.6 Phi Matrix Software
3. Golden Rectangle Gallery
3.1 Phi Formats (1-4)
3.2 The Golden Frame
3.3 Human faces
3.4 Nature (1-2)
3.5 Golden Rectangle in Art (1-2)
3.6 Golden Rectangle in Design
3.7 Architecture (1-3)
3.8 Cosmos
4. Golden Spiral
4.1 Golden Spiral (1-2)
4.2 GS Construction (1-4)
4.3 GS - Triangles (1-4)
4.4 Comparing (1-2)
4.5 GS & Pentagram (1-2)
4.6 Other Constructions
4.7 GS Modulations
4.8 J. Bernoulli
4.9 GS & Torus Vortex (1-2)
4.10 GS & Implosion (1-2)
5. Golden Spiral Gallery
5.1 Golden Spiral
5.2 GS in School (1-2)
5.3 GS Fractals
5.4 GS in Nature (1-6)
5.5 Water Spiral Flows (1-5)
5.6 Spirals in the Air (1-2)
5.7 Spirals in Plants (1-3)
5.8 Harmonics of Heart (1-2)
5.9 Heavens (1-2)
5.10 GS in Giza
5.11 Spiral Jewelry
5.12 Spirals in Crop Circles
5.13 Spirals of Cooperation
5.14. Spirals of Consciousness
6. Golden Ellipse
6.1 G Ell Constructions (1-2)
6.2 G Ellipse & Numbers
6.3 G Ellipse & Tree of Life
6.4 VW Bug
Conclusion
Cb A New Spiral Cosmology

SG106 - Pentagons, Pentagrams & the Penta-Modules

Introduction
1. The Pentad
1.1 Pentad- Archetype of Harmony
1.2 The Pentagram Sacred Symbol (1-4))
1.3 About “Pentas” (1-2)
1.4 On the Pentacle (1-3)
2. The Two Penta-Modules
2.1 The Penta-Modules
2.2 The Penta-Modules Spirals (1-2)
2.3 The Golden Triangle (1-3)
2.4 The Golden Gnomon (1-2)
2.5 Golden Gnomon & 3-4-5 Triangle (1-2)
2.6 Phi Progressions
2.7 The Golden Decagon (1-2)
2.8 Penta Puzzles (1-4)
3. Penta Constructions
3.1 Ptolemy’s Method
3.2 Dürer’s construction
3.3 The Mystical Wedding Penta-Hexa
3.4 Yin-Yang Construction
3.5 Constructions  with Circles
3.6 Constructions with Golden Rectangle (1-3)
3.7 Constructions with Vesicas (1-2)
3.8 Spirals in the Pentagram
3.9 The Cosmic Egg in the Pentagon
3.10 The Quine (1-2)
3.11 Penta Plays & Games (1-2)
3.12 The Penta Knot
3.13 Zometool Models
3.14 Self-replication of Pentagrams
3.15 Pentagon Summary Design
4. Penta-Symmetries
4.1 Penta Fractals (1-3)
4.2 Penrose Tiling (1-4)
4.3 Quasi Crystals - The Story (1-3)
4.4 QC - Diffusion Patterns
4.5 QC - R and D (1-2)
4.6 QC - Do it Yourself
4.7 QC - Design (1-2)
4.8 QC - Islamic Patterns
4.9 Penta Starfields (1-2)
5. Penta Gallery
5.1 Nature (1-5)
5.2 Culture (1-6)
5.3 Penta Crop Circles (1-4)
5.4 Architecture (1-2)
5.5 Astro Harmonics
5.6 Traditions (1-4)
5.7 5-Fold Symmetry in Japan
Conclusion

SG107 - The 5 Platonic & 13 Archimedean Solids

Introduction
1. The 5 Platonic Solids
1.1 Why Platonics?
1.2 The 5 Platonic Solids (1-4)
1.3 Two Duals and one Self-Dual
1.4 Platonics & Tiling
1.5 Fold-Out Nets
1.6 Symmetry & Nesting (1-5)
1.7 The Jitterbug (1-3)
1.8 Metatron’s Cube (1-3)
1.9 The Sphere
1.10 Platonics in Nature (1.2)
1.11 Platonics in Cultures(1-5)
1.12 Platonic Models (1,2)
1.13 Platonic Origami (1-4
2. The Tetrahedron
2.1 The Primordial Tetra
2.2 tetrahedral Packing
2.3 Tetra & Sphere
2.4 tetrahedral Physics
2.5 TetrahedraL Chemistry
2.6 Tetrahedral Biology
2.7 The Tetrahelix (1,2)
2.8 The Star-Tetrahedron (1-3)
2.9 Star-Tetra & Merkaba (1-3)
2.10 Tetrahedron & Alphabets
3. The Cube & Octahedron
3.1 The Cube
3.2 Cubes in Culture (1,2)
3.3 The Octahedron (1,2)
3.4 The Cube & Octa in Nature
3.5 Octahedral Molecular Geometry
3.6 Octahedral Music (1,2)
3.7 Octahedron Fractal
3.8 Octahedron Crop Circle
3.9 Galactic Octahedra
4. The Dodeca & Icosahedron
4.1 The Dual Dodeca-Icosa
4.2 The Dodecahedron (1-3)
4.3 Construction of the Icosa
4.4 The Golden Frame
4.5 PHI Harmonics (1-3)
4.6 The Icosa-Dodeca genesis (1,2)
4.7 The Icosa-Dodeca Grids (1-3)
5. The 13 Archimedean Solids               
5.1 The 13 Archimedeans (1-3)
5.2 The Truncated Tetra
5.3 The Cuboctahedron (1-3)
5.4 The Rhombicubocta
5.5 The Snub Cube
5.6 Geodesics (1-10)
6. Other Polyhedra
6.1 Kepler-Poinsot Solids (1-3)
6.2 Stellation (1-3)
6.3 The 13 Catalan Solids (1-4)
6.4 All 80 Uniform Poly
6.5 Zonohedra
6.6 Non-Convex Polyhedra
6.7 Other Polyhedra in Art (1,2)
6.8 Polyhedral Dice
6.9 Polyhedral Origami
7. Higher-Dimensional Polyhedra
7.1 Hyper Platonics (1-5)
7.2 The 5-Cell
7.3 The 8-Cell (1,2)
7.4 The 16-Cell
7.5 The 24-Cell
7.6 The 120-Cell
7.7 The 600-Cell
7.8 Hyper Platonics in Art (1,2)
7.9 Hyper Platonics in Second Life
7.10 Other Hi-D Polytopes (1-4)
7.11 The 8D E8
7.12 Hypercubes
7.13 The Hendecatope
7.14 Mystical Note
 
 

SG108 - The Vesica Piscis: Cosmic Womb of Creation

Introduction
1. The Vesica Piscis
1.1 The Vesica (1-3)
1.2 Vesica Experiment
1.3 Home-made Vesicas (1-3)
1.4 Vesica Cosmo-Genesis (1-2)
1.5 Vesica Orientation (1-3)
1.6 Width
1.7 Length
1.8 Vesica in Gematria
1.9 Diagonals (1-2)
1.10 The 3 Roots (1-3)
1.11 Polygon Generatrix (1-4)
2. Geometries of the Vesica
2.1 The Rhombus (1-2)
2.2 Vesica & PHI (1-3)
2.3 The Golden Vesica (1-2)
2.4 Vesica Progressions (1-2)
2.5 Penta-Symmetry (1-2)
2.6 The Hexagon
2.7 The Pyramid
2.8 Tri-Rhombus Vesica
2.9 The Tri-Vesica
2.10 Vesica Ladders (1-3)
3. Flower of Life Geometries
3.1 Vesicas in the FOL (1-2)
3.2 FOL Progressions (1-3)
3.3 The Vesicula
3.4 The Concave Rhombus
3.5 An Ancient Sun Ball
3.6 FOL Examples (1-5)
3.7 Tree of Life
3.8 FOL Grids (1-2)
3.9 Higher-Dimensional FOL
4. Medieval Vesicas
4.1 Vesicas in Medieval Times
4.2 Vesicas in Christian Art (1-4)
4.3 Cathedrals & Churches (1-7)
4.5 Medieval Seals (1-3)
5. The Symbolism of the Vesica               
5.1 Definitions (1-2)
5.2 Vesica Symbolism Map
5.3 Vesica Symbolism Intro
5.4 Fish Symbolism (1-4)
5.5 Almond Symbolism (1-3)
5.6 Doorway Symbolism (1-6)
5.7 Eye Symbolism (1-2)
5.8 Spirit Light Symbolism (1-6)
5.9 Mother Goddess Symb. (1-8)
6. Vesicas in Today’s world
6.1 Contemporary Vesicas
6.2 Vesicas in Physics
6.3 Vesicas in Biology (1-2)
6.4 Vesicas in Cognitive Sciences
6.5 Vesicas in Ethnology (1-2)
6.6 Music
6.7 Archeology (1-2)
6.8 Vesicas in Astronomy
6.9 Vesicas in Glastonbury
6.10 Vesicas in Crop Circles (1-2)
6.11 The Vesica Labyrinth
6.12 Vesicas in Art (1-2)
6.13 Vesicas in Corporate Logos
6.14 Architecture (1-3)
6.15 Vesicas in Earth Grid
Conclusion

 

Detailed Contents of the Sacred Geometry Modules
SG201 though SG208 / Intermediate Cycle
(The contents are updated as the modules are created)

SG201 - The monochord, Music & Cymatics

 

Introduction
1. Ancient Music
1.1 Musica Speculativa
1.2 Chinese Music (1-3)
1.3 Indian Music (1-4)
1.4 Egyptian Music (1-2)
1.5 Pythagoras (1-4)
1.6 The Lambdoma (1-2)
1.7 The Holy Tetraktys
1.8 The Comma of Pythagoras
1.9 Cosmic Harmonia
1.10 The Seven Vowels (1-2)
2. The Monochord & Overtones
2.1 Sacred Geometry and Music
2.2 Standing Waves
2.3 Harmonic Series (1-2)
2.4 The Polychord
2.5 The Holy Tetraktys
2.6 Harmonics of Music (1-2)
2.7 The Scale of Overtones (1-5)
2.8 New Culture of Overtones (1-4)
2.9 The Monochord and Science
3. The Universe as Music
3.1 Universe as  Monochord (1-2)
3.2 A Human Monochord
3.3 Entrainment & Resonance
3.4 The Harmonic Finality
3.5 Nada Brahma (1-6)
3.6 The Music of the Spheres (1-4)
3.7 Sacred Geometry & Music (1-3)
3.8 The Vesica in Music (1-2)
3.9 Music in Mandalas (1-2)
3.10 The Divine Lyre
3.11 Phi Violins of Stradivari
3.12 New Harmonic Instruments
3.13 The Lambdoma Keyboard
4. Music Scales & Just Intonation
4.1 Physiology of Hearing (1-3)
4.2 Resonance & Dissonance (1-2)
4.3 About Scales & Tuning Systems
4.4 What is Just Intonation (1-3)
4.5 The A = 432 Scale (1-2)
4.6 The Rising of the Standard Pitch
4.7 The Solfeggio Scale (1-3)
4.8 Harmonics as Microtones
4.9 Table of intervals systems
4.10 Music Field: Infinite Harmonics
5. Cymatics, Yesterday & Today
5.1 Cymatics - Introduction
5.2 Cymatics - Early History (1-6)
5.3 Hans Jenny (1-2)
5.4 Cymatics - Examples (1-3)
5.5 Cymatics Dynamics (1-2)
5.6 Cymatics & Nature
5.7 Cymatics in 3D
5.8 The Tonoscope (1-2)
5.9 Water Cymatics (1-3)
5.10 The Cymascope (1-3)
5.11 Photosonics
6. Music, Colors & Healing
6.1 Music & Color (1-7)
6.2 Healing as Harmony
6.3 Music & Plants
6.4 Music  & Inspiration
6.5 Sound Healing (1-2)
6.6 Cyma-Therapy (1-2)
6.7 Phi-ratio Tuning Forks        
6.8 Toning (1-3)
6.9 Sound & Medical Science
6.10 Music in Architecture
6.11 The Law of Octave
6.12 The Tones of the Earth
6.13 The Musical Spine
6.14 Dance & Celebration (1-2)
Conclusion

SG202 - The Power of Archetypal Numbers

 

Introduction
1. Numbers in Ancient Traditions
1.1 Modulations on Unity
1.2 The Qualities of Numbers (1-2)
1.3 Historical Quotes (1-2)
1.4 Origins of Numbers (1-6)
1.5 Base-60 Sumer (1-3)
1.6 Vedic Numbers (1-3)
1.7 Egypt: Harmonic Reciprocity
1.8 Ancient Harmonic Reciprocity
1.9 Pythagorean Legacy (1-4)
1.10 History of Perfect Numbers
1.11 Greek Gematria (1-3)
1.12 Early Gnosticism
1.13 The Church Fathers
1.14 Medieval Number Mysticism
1.15 Dante’s Divine Comedy
1.16 Early Number Notations (1-3)
2. Modern History of Numbers
2.1 About Number Notation (1-2)
2.2 The Hindu-Arabic Numerals (1-2)
2.3 The New Numerals in Europe
2.4 Church Politics & New Numerals
2.5 Abacists versus Algorists
2.6 The Second Wave of New Numerals
2.7 The Garden of Cyrus
2.8 Renaissance Number Symbolism
2.9 Kabbalah Tradition
2.10 Modern Numerology
2.11 Dance Interlude
3. The Remarkable Zero
3.1 The Legend of Sessa
3.2 Zero as Shunya
3.3 Mystical Shunya
3.4 Zero and Infinity
3.5 The Family Tree of Zero
3.6 Zero as Naught
3.7 Zero as “Zero Point”
3.8 Zero as Doorway
3.9 Zero in Oriental Cultures
3.10 The “O” of Giotto
3.11 “O” as Shape & Sound
3.12 The Dance of Zero and One (1-2)
4. Archetypal Numbers 1-7
4.0 The Numbers 1-7
4.1 The Monad (1-4)
4.2. The Dyad (1-7)
4.3 The Triad (1-7)
4.4 The Tetrad (1-5)
4.5 The Pentad (1-5)
4.6 The Hexad (1-5)
4.7 The Heptad (1-4)
4.8 Summary Numbers 1-7
5. Archetypal Numbers 8-13
5.1 The Octad (1-5)
5.2 The Ennead (1-5)
5.3 The Decad (1-5)
5.4 The Endecad
5.5 The Dodecad (1-4)
5.6 The Tridecad (1-4)
5.7 Summary Numbers 8-13
5.8 The sacred Circle
6. Canonic Numbers
6.1 An ancient Canon of Harmony (1-2)
6.2 The New Jerusalem Matrix (1-2)
6.3 The Hindu Time Cycles (1-2)
6.4 Master Numbers & Repdigits
6.5 Numbers in Magic Squares
6.6 The “World Soul” Numbers
6.7 Canonic Numbers as Music
6.8 The Pulse of 3-6-9
6.9 The “72” Tribe (1-2)
6.10 Number 108
6.11 Number 144 (1-2)
6.12 Number 432
6.13 Number 666
6.14 Number 1080
6.15 Number of Fusion 174
6.16 Number 3168
6.17 Number 5040
6.18 The Number Field
Conclusion

SG203-A - Sacred Geometry Resurgence in Science - Part 1

PART A (SG203-A)
Introduction
Timeline
1. Fractals & Self-Similarity
1.1 Ancient Roots of Fractality (1-2)
1.2 Simple Iterative Fractals (1-2)
1.3 Proto-Fractals (1-3)
1.4 Sierpinski Triangle (1-3)
1.5 Fractals & B. Mandelbrot (1-3)
1.6 The Mandelbrot Set (1-2)
1.7 Faces of the M-Set (1-6)
1.8 M-Set and Phi (1-3)
1.9 Golden Fractals (1-6)
1.10 Phi: a Continued Fractal
1.11 Chaos Theory & Fractals (1-5)
1.12 Fractals in Human Body
1.13 Fractals in Nature
1.14 Fractal Models (1-2)
1.15 Fractals in Technology (1-2)
1.16 Fractals in Culture
1.17 Fractals in Art
1.18 A Golden Fractal Universe
2. Penta-Symmetries
2.1 Penrose Tiling (1-2)
2.2 The two Penta-Modules
2.3 Penrose Tiling 2D (1-2)
2.4 Penrose Tiling 3D (1-4)
2.5 Quasicrystals - The Story (1-3)
2.6 Quasicrystals - Diffusion Patterns
2.7 Quasicrystals - R & D (1-2)
2.8 Quasicrystals - Design (1-2)
2.9 Water Micro Clusters (1-3)
2.10 Fullerenes - Buckyball (1-3)
2.11 Fullerenes - Variations (1-2)
2.12 Fullerenes - Applications (1-2)
3. Platonic Models in Science
3.1 The Nesting of the Cosmic Figures
3.2 The All Five Puzzle
3.3 The Dodeca-Icosa Doctrine
3.4 Kepler's Cosmic Cup
3.5 Felix Klein and & the Icosahedron
3.6 New model Atom (1-4)
3.7 Platonic Wave Resonance
3.8 Oscillons & Solitons (1-2)
3.9 Rotating Platonics Atom Model
3.10 Atomic Nucleus Moon Model (1-3)
3.11 Tetrahedral Physics (1-2)
3.12 Platonic Chemistry (1-4)
3.13 Platonic Cosmology (1-2)

SG203-B - Sacred Geometry Resurgence in Science - Part 2

PART B (SG203-B)
4. Fibonacci/Lucas & PHI
4.1 Fibo/Lucas Reminder (1-3)
4.2 Fibo in Maths (1-3)
4.3 Golden Maths (1-4)
4.4 Pascal Triangle (1-4)
4.5 Fibo in Technology (1-2)
4.6 Fibo in Nature (1-5)
4.7 Fibo Reflections
5. Vortex Science
5.1 The Insights of V. Schauberger (1-2)
5.2 What is Implosion? (1-2)
5.3 Theodor Schwenk (1-2)
5.4 What is a Vortex? (1-2)
5.5 Walter Russell (1-2)
5.6 Lawrence Edwards (1-2)
5.7 Golden Vortex (1-5)
5.8 Solitonic Vortices
5.9 Vortex Gallery (1-3)
5.10 Vortex Water (1-5)5.11 Egg-Shape power (1-2)
5.12 Vortex Technology (1-2)
5.13 Vortex Sculptures
6. A Golden Matrix Universe
6.1 New Paradigm (1-4)
6.2 A Coherent Cosmos
6.3 A Non-Local Cosmos (1-2)
6.4 A Scale-Invariant Cosmos (1-4)
6.5 A Cosmos of In-Formation
6.6 The Field (1-3)
6.7 A Cosmos of Consciousness
6.8 Phi in Quantum (1-2)
6.9 E-Infinity / El Naschie (1-3)
6.10 Raji Heyrovska (1-4)
6.11 Golden Implosion / Dan Winter (1-5)
6.12 Spotlights on PHI
6.13 Mathematics of Harmony / Russia (1-4)
6.14 Cosmic Harmonics
Conclusion

  

SG204 - Phi in the Human Body, Biology & DNA

Introduction
1. Traditions of the Human Canon
1.1 Note on Cosmic Anatomy
1.2 The Anthropocosm
1.3 The Vedic-Indian Tradition
1.4 The Zodiacal Human
1.5 Brief History of the Human Canon (1-2)
1.6 Egyptian Tradition - Canon (1-2)
1.7 Egypt - The Temple in Man (1-2)
1.8 Buddhist Tradition
1.9 Classical Greece (1-4)
1.10 Vitruvius (1-2)
1.11 Vitruvian Canon - Da Vinci Man (1-5)
1.12 Vitruvian Canon - Albrecht Dürer (1-2)
1.13 Renaissance (1-2)
1.14 Modern Times - Mystical Art
2. PHI Measurements in the Human Body
2.1 PHI Ratios in the Da Vinci Man
2.2 Meet Da Vinci Woman
2.3 Whole Body - Height & Width (1-2)
2.4 Body - Arms & Hands (1-4)
2.5 Body - Legs & Feet (1-5)
2.6 The Human Face (1-6)
2.7 PHI & Cosmetic Surgery (1-2)
2.8 PHI: Universal Face Standard
2.9 Human Teeth & Mouth (1-3)
2.10 The Human Ear (1-2)
2.11 The Human Eye
2.12 Anthropometric Data (1-2) 
2.13 Proportions & Ages of Life
2.14 Full Body Extension
2.15 Harmony in Diversity (1-2)
3. The New Biology
3.1 The Semmelweiss Reflex
3.2 The New Paradigm in Biology
3.3 Bio Photons (1-7)
3.4 The Universe of the Cell (1-4)
3.5 Fractal Evolution
3.6 Quantum Communication in Biology
3.7 Emergence of a Quantum Biology
3.8 Microtubules (1-4)
3.9 Clathrins as Buckyballs
3.10 Golden Fractal Biology: Quantum Harmony?
4. PHI Resonance in DNA
4.1 DNA Reminder (1-3)
4.2 Helix Geometry (1-4)
4.3 DNA Golden Code (1-5)
4.4 Codex Biogenesis (1-4)
4.5 DNA - Musical Genes
4.6 DNA - Fractal Supra-conductivity
4.7 DNA as Cosmic Phi Antenna
4.8 Double Helix Nebula
4.9 DNA - Transgenic Planet
4.10 DNA & I Ching (1-3)
4.11 Russian DNA Research - Wave Genetics (1-2)
5. PHI Harmonics in Heart & Brain
5.1 Traditions of the Heart
5.2 The Heart - New Data (1-2)
5.3 Heart Coherence & Love-Compasion (1-2)
5.4 New Heart Wave Research - HRV (1-2)
5.5 Making Heart
5.6 Making Waves - Irving Dardik
5.7 HRV - The More Harmonics (1-2)
5.8 Harmony in the 4 Brains
5.9 Phi in Brain Structures
5.10 Golden ratio & Coherence in Brain Waves
5.11 The Third Ventricle: Temples on the Lake
5.12 The Cerebro-Spinal Fluid: Heavenly Dew
5.13 The Quantum Holographic Brain
5.14 The Human Hologram (1-2)
Conclusion

 

SG205-A The Sacred Geometry of Nature - Part 1: Plants & Phyllotaxis

PART A (SG205-A)
Introduction
1. Phyllotaxis: Harmonic Patterns in Plants
1.1  What is Phyllotaxis?
1.2  Phyllotaxis - History
1.3  Phyllotaxis Patterns  (1-4)
1.4  Phyllotaxis - Relative Frequency
1.5  Spiral Phyllotaxis (1-2)
1.6  Parastichies (1-3)
1.7  The Phi-based Growth Angle (1-3)
1.8  Phi in the Meristem (1-3)
1.9  Harmonia Plantarum (1-3)
1.10  Harmonics in Plants (1-2)
1.11  Leaf Proportions (1-4)
1.12  Phyllotaxis of the Sunflower
1.13  Phyllotaxis of the Daisy (1-2)
1.14  Douady & Couder Experiment
1.15  Why is Phi the Best Ratio? (1-4)
1.16  Phyllotaxis Computer Models (1-2)
1.17  Phyllotaxis in Art & Science
1.18  Systemic Phyllotaxis (1-2)
2. A Gallery of Plants & Flowers
2.1  Fibonacci Numbers (1-2)
2.2  Fractals in Nature (1-4)
2.3  Fractals in Landscapes
2.4  Fractal Plant Simulations
2.5  Golden Reduction Factor (1-2)
2.6  The Sunflower (1-3)
2.7  The Beautiful Rose (1-2) 
2.8  The Passion Flower (1-2)
2.9  The Dandelion
2.10  Flower Beauties (1-5)
2.11  Fibo Vegetables (1-7)
2.12  Fibo Fruits (1-4)
2.13  Extraordinary Fruits
2.14  Geometries of the Pine Cone (1-2)
2.15  Palm & Coco Trees
2.16  The Cycads and their Cones
2.17  The Thistles
2.18  The Cacti
2.19  Plant Designs (1-2)
2.20  Zooming on Plants (1-3)
2.21  Reflections on SG in Plants
3. Geometries of Pollen
3.1  The Pollination Process (1-2)
3.2  The Science of Pollen (1-5)
3.3  Geometries of Dried Pollen
3.4  Pollen - Artist Oeggerli
3.5  Pollen Shapes (1-7)
3.6  Pollen & Flower (1-5)
3.7  Pollen, Plant & Tree (1-3)
3.8  Pollen by Location
4. Geometries of Seeds
4.1  The Seed - A Vortex of Life
4.2  The Seed - A Cycle of Growth
4.3  Seeds, Biodiversity & Biopiracy
4.4  Heirlooms & Seed Banks
4.5  Norway's Svalbard Seed Vault
4.6  The UK Millenium Seed Bank
4.7  The Seed Cathedral (1-3)
4.8  Seed Sizes (1-2)
4.9  Seed Shapes (1-3)
4.10  Geometries of Seed Pods
4.11  The Seed of Life (1-2)
4.12  Famous Seeds (1-2)
4.13  The Seed as Beauty & Harmony (1-9)
4.14  Seeds & Spirals (1-4)
4.15  Green Singing & Navoti 
4.16  PHI Technologies for Seeds (1-2)
4.17  Earthlings as Seedlings
4.18  The Same Flowering
4.19  The Earth as a Galactic Sprout
Conclusion

SG205-B The Sacred Geometry of Nature - Part 2: Minerals & Animals

PART B (SG205-B)
Introduction
Interlude 1: Measuring Nature (1-2)
5. Geometries in Minerals
5.1 X-Ray Crystallography (1-2)
5.2 Atomic Symmetries (1-3)
5.3 Platonic Harmonics (1-2)
5.4 Traditional Mineral Diagrams  (1-2)
5.5 Crystal Classification (1-2)
5.6 Platonic Minerals - Tetrahedron (1-2)
5.7 Platonic Minerals - Cube (1-2)
5.8 Platonic Minerals - Octahedron (1-5)
5.9 Platonic Minerals - Icosa/Dodeca (1-2)
5.10 Quasicrystals (1-3)
5.11 Clathrates (1-3)
5.12 Zeolite Frameworks (1-3)
5.13 Snow Flakes (1-4)5.14 Snow Crystals - Physics
5.15 Snow Flakes & Phi (1-3)
5.16 Micro Geometries in Minerals (1-2)
5.17 Co-Evolution of Minerals
Interlude 2: 2a. Our Animal Friends 
2b. The Enchanted Web of Life
2c. Animalia - Classification
2d. Animalia - Relative Importance
6. Geometries in Land Animals
6.1 The Allosaurus (1-2)
6.2 The Elephant
6.3 The Horse (1-2)
6.4. The Lion
6.5. The Frog
6.6 The Spider's Web (1-2)
Interlude 3: Animal Yoga Poses (1-3)
7. Harmonies in Flying Animals
7.1 Bees (1-5)
7.2 Wasp Body Proportions
7.3 The Dragonfly (1-2)
7.4 Hummingbirds (1-3)
7.5 The Nest of the Weaverbird
7.6 Fireflies - Sync
7.7 The Peacock (1-5)
7.8 The Swan
7.9 Butterflies (1-3)
7.10 Moths
7.11 Insect Eyes 
7.12 Spiral Flight Paths (1-2)
Interlude 4: The Beauty of Insects Eggs (1-4)
8. Geometries in Water Animals
8.1 The Swimming Ones
8.2 Dolphins (1-6)
8.3 Swimming Phi (1-4)
8.4 Skates (1-3)
8.5 Lobsters & Crabs
8.6 Sea Stars
8.7 Sea Urchins
8.8 Corals
Interlude 5: Spirals in Animals (1-3)
9. Geometries in Shells
9.1 Shells & Living beings
9.2 Shell Cross-sections
9.3 Fossil Symmetries (1-2)
9.4 Samuel Colman (1-2)
9.5 The Triton Shell
9.6 The Whelk Shell (1-2)
9.7 The Sundial Shell
9.8 The Abalone Shell
9.9 The Scallop Shell
9.10 The Snail Shell (1-2)
9.11 The Nautilus (1-3)
9.12 Shell Gallery (1-6)
Interlude 6: Computer Modeling of Shells (1-3)
10. The Jewels of the Sea
10.1 Meet Ernst Haeckel (1-2)
10.2 Radiolarians 
10.3 Radiolarians by Haeckel (1-2)
10.4 More Radiolarians (1-2)
10.5 Radiolarian Art
10.6 Diatoms (1-2)
10.7 Diatom Geometries
10.8 Diatom Loir Gallery (1-4)
10.9 More Coscinodiscus
10.10 Diatom Encounters
Conclusion

 

SG207 Sacred Geometry in Architecture, Sacred Sites & Green Design.

Introduction
1. Traditions of Sacred Architecture
1.1 The Sacred Center (1-3)
1.2 Orientation - Cross Vesica
1.3 Hindu Temples - Vastu Purusha (1-3)
1.4 Pagodas & Stupas - Antennas (1-2)
1.5 The Stupa (1-3)
1.6 Feng Shui Tradition (1-3)
1.7 Egypt (1-3)
1.8 Geometric Hieroglyphs (1-2)
1.9 The Egyptian Cubit (1-2)
1.10 Sacred Geography Ancient Greece
1.11 Vitruvius
1.12 Ancient metrology (1-2)
1.13 Twelve Tribes Nations
1.14 Western Geomancy (1-3)
1.15 The Celtic Round Towers
1.16 Renaissance Architecture (1-2)
1.17 Vernacular Architecture (1-3)
1.18 African Fractals 
Interlude 1. Tallest Structures (1-2)
2. Sacred & Golden sites
2.1 Megalithic Sites (1-3)
2.2 Stonehenge (1-2)
2.3 Great Pyramid (1-6)
2.4 Egyptian Temples (1-5)
2.5 Khajuraho - Kandariya
2.6 Borobudur (1-3)
2.7 Japanese Pagodas (1-4)
2.8 Japan Geometries (1-4)
2.9 Beijing - Forbidden City (1-3)
2.10 Mosque of Kairouan
2.11 Parthenon: Phi or not?
2.12 Greek Theater of Epidaurus2.13 The Pantheon (1-2)
2.14 Teotihuacan (1-3)2.15 Tikal
2.16 Washington D.C. (1-4)
3. Geometries of the Cathedrals
3.1 The Age of the Cathedrals
3.2 The 7 Liberal Arts
3.3 The School of Chartres
3.4 The "Compagnon" Builders (1-3)
3.5 Medieval Geometric Tracings (1-2)
3.6 Medieval Vesica - Mandorla (1-3)
3.7 The Medieval Gothic Arch  (1-2)
3.8 Chartres Cathedral (1-6)
3.9 Reims Cathedral (1-2)
3.10 Rouen & Amiens Cathedrals
3.11 Notre Dame of Paris (1-2)
3.12 Cathedrals - Geometric Details
3.13 Cistercian Abbeys (1-2)
4. Architecture for Global Harmony
4.1 Prince Charles - Critique
4.2. Redefining Architecture
4.3 Meet Le Corbusier (1-4)
4.4 Buckminster Fuller (1-3)
4.5 Monolithic Domes
4.6 Michael Rice (1-2)
4.7 Architecture for the People (1-4)
4.8 Paolo Soleri (1-3)
4.9 Architecture & Bio-Energy (1-2)
4.10 Green & Living Systems Architecture
4.11 Ken Yeang (1-2)
5. Pioneer Architecture Projects
5.1 The Matrimandir (1-7)
5.2 The Nautilus House
5.3 Bali: the Green School
5.4 Energy Positive Buildings
5.5 Contemporary PHI (1-2)
5.6 Eco-Complexes (1-3)
5.7 Futuristic Projects (1-6)
5.8 Biodomes (1-2)
5.9 Floating Cities
5.10 Floating Homes5.11 Underwater Habitats
5.12 Growing Living Buildings
Conclusion

The next SG Modules (Advanced Cycle) on the School Curriculum
are in the cosmic creative womb
and will be born
IN HARMONIC TIME!

Stay tuned!

Latest:

SG207 Sacred Geometry in Architecture, Sacred Sites & Green Design.

Introduction
1. Labyrinths: Types & Geometries
1.1 Labyrinths & other Patterns (1-4)
1.2 Typology of Labyrinths (1-2)
1.3 Roman Labyrinths Types (1-2)
1.4 The 3-rings Laby 
1.5 The Classical 7-rings Laby (1-3)
1.6 Tracing the 7-rings Laby (1-3)
1.7 The 7-rings Laby & Mercury's Orbit
1.8 Varieties of 7-rings Labys (1-2)
1.9 The 9-rings Laby
1.10 The 11-rings Laby
1.11 Labyrinths & Magic Squares
1.12 Shaped Labyrinths
Interlude 1. The Labyrinth Goddess 
2. History of Labyrinths
2.1 Origins of Labyrinths
2.2 Dances of the Labyrinth (1-2)
2.3 Cycles of History
2.4 Petroglyph Labyrinths (1-3)
2.5 Ancient Clay/Pottery Labyrinths
2.6 The Egyptian Labyrinth (1-2)
2.7 Greek Labyrinths (1-2)
2.8 Theseus & the Minotaur (1-2)
2.9 Roman Labyrinths (1-3)
2.10 Labyrinths in Ancient Manuscripts (1-4)
2.11 Labyrinths in India (1-5)
2.12 Labyrinths in Asia (1-2)
2.13 The Labyrinth of Nazca
2.14 American Indian Labyrinths (1-2)
2.15 Field Labyrinths in Europe
2.16 Stone Labyrinths (1-3)
2.17 Turf Labyrinths in England (1-4)
2.18 Turf Labyrinths in Germany
2.19 Love labyrinths
2.20 Labyrinths in Renaissance Art (1-2)
2.21 The Christian Soul Journey
2.22 Garden Labyrinths Designs (1-3)
2.23 The Craze of Garden Mazes
Interlude 2. Imitation Laby as Goddess
3. Medieval Church Labyrinths
3.1 Church Labyrinths
3.2 Circular Church Labys (1-5)
3.3 Square Church Labys
3.4 Octagonal Church Labys (1-4)
3.5 Tree-Like Church Labys
3.6 The Labyrinth of Chartres (1-2)
3.7 Chartres Labyrinth (1-2)
3.8 Chartres Design (1-2)
3.9 Chartres Laby & West Rose
3.10 Chartres Laby & Numbers
3.12 Chartres Laby & Cosmology
3.13 Tracing Chartres Labyrinth (1-2)
3.14 Chartres Laby: Current Re-opening
4. Labyrinths: A Renaissance
4.1 The Story of Grace Cathedral (1-2)
4.2. Labyrinth Facilitators & Resources
4.3 Contemporary Church Labyrinths
4.4 School Labyrinths (1-2)
4.5 University Labyrinths
4.6 Labys at Healing Centers
4.7 Labys in Public Parks
4.8 Community Labyrinths (1-3)
4.9 New Labyrinth Media
4.10 Ephemeral Labyrinths (1-2)
4.11 Canvas Labys
4.12 Lap-top Labys
4.13 Laby Disneylands (1-2)
4.14 New Labyrinth Shapes (1-2)
4.15 Sedona Labyrinths (1-3)
4.16 The StarWheel Labyrinth (1-2)
4.17 Labyrinth-like Contemporary Art
4.18 Digital Labyrinths
5. The Healing Ways of Labyrinths
5.1 Stepping into the Labyrinth
5.2 The Labyrinth as Initiation
5.3 Labyrinth as Self-Integration
5.4 Labyrinth as Protective Magic
5.5 Labyrinths: Music & Rhythm (1-2)
5.6 Labyrinths as Playgrounds 
5.7 Labyrinths as Gardens
5.8 Labyrinths as Community Builders (1-2)
5.9 Labyrinths as Educational Tools (1-2)
5.10 The Geomancy of Labyrinths
5.11 Labyrinths & Dowsing (1-2)
5.12 Labyrinths as Therapy (1-2)
5.13 Labyrinths & Chakras
5.14 Labyrinths as Mandala Vortices
5.15 Labyrinths & Body Coordination
5.16 Finger Walking Labyrinths (1-2)
Conclusion
The Promise & the Gift