Interconnected Pythagorean Triples using Central Squares Theory

Interconnected Pythagorean Triples using Central Squares Theory

 

 

Triples are connected through Squares.

 

 

Key Terms

• Pythagorean Theorem
• Pythagorean Triples
• Pythagorean Family of Triples
• Plato family of Triples
• 3D Pythagorean Theorem
• Octahedron in 3D
• Square in 2D
• Square and Triangles
• Pythagorean Tree
• Geometrical Gear
• 3D Geometrical Gear
• Interconnected Triples
• Tripartite Universe
• Tri-loka
• Great Pyramids
• Set, Osiris, Isis
• IS RA EL
• Herma-polis and Helio-polis
• Set/Thoth and RA/Atum
• Shadows and Pillers
• Saturn and Jupiter
• Moon and Sun
• Silver and Gold
• Tamas and Rajas
• Serpent and Eagle
• Set and Horus
• Fourth and Fifth
• Descent and Ascent
• Ganesh and Hanuman
• Mars Planet
• Sun, Earth, Moon
• Three Parts of the Soul
• Fundamental Triplicity
• Inverted Pipal Tree in Hindu Cosmology
• Vastu Purush Mandala
• Brahma in Vedic Physics
• Brahma, Vishnu, Mahesh/Shiv
• Ram, Lakshman, Sita
• Krishna, Baldev/Balram, Subhadra
• Surya Vanshi  and Chandra Vanshi – Solar and Lunar Dynasties
• Tripitaka in Buddhism
• Eightfold path in Buddhism
• Lotus and Diamond Sutra in Buddhism
• Vajra and Lotus
• Indra, Brahma, Buddha
• Three Gunas – Satva, Rajas, Tamas
• Three Sheaths – Gross, Subtle, Causal
• Three Nadis: Pingala(Sun), Ida(Moon), Sushumna(Fire)
• Three Doshas: Vata, Kapha, Pitta
• Three Gods: Brahma, Rudra, Vishnu
• Path: Ascending, Descending, Bidirectional
• Three inner layers of Sushumna Nadi: Chitrini, Vajra, Brahma
• Plimpton 322

 

Pythagorean Family of Triples

• 3 4 5
• 5 12 13
• 7 24 25
• 9 40 41

 

Plato Family of Triples

• 3 4 5
• 8 15 17
• 12 35 37
• 16 63 65

 

Pythagoras triples explained via central squares

Anatomy of the Pythagoras’ tree

 

Key sources of Research

Pythagoras triples explained via central squares

Luis Teia Gomes

 

Click to access EJ1093370.pdf

 

 

Anatomy of the Pythagoras’ tree

Luis Teia

The University of Lund, Sweden

luistheya@gmail.com

 

Click to access EJ1121416.pdf

Click to access Anatomy-of-the-Pythagoras-Tree.pdf

 

 

 

Fermat’s Theorem – a Geometrical View

 

Article · March 2017

 

Click to access Fermats-Theorem-a-Geometrical-View.pdf

 

The Pythagorean geometric gear

 

Luis Teia

University of Lund, Sweden

luistheya@gmail.com

 

Click to access The-Pythagorean-Geometric-Gear.pdf

 

 

Geometry of the 3 D Pythagoras ’ Theorem

• Luis Teia
• Published 2016

https://www.semanticscholar.org/paper/Geometry-of-the-3-D-Pythagoras-’-Theorem-Teia/87f4e288ef79ed7df384956ab5b6238d99301865

http://www.ccsenet.org/journal/index.php/jmr/article/download/64646/34833

 

 

 

Special Case of the Three-Dimensional Pythagorean Gear

(Australian Senior Mathematics Journal)

Article in Journal of the Australian Mathematical Society ·

December 2018

 

Click to access Special-Case-of-the-Three-Dimensional-Pythagorean-Gear-Australian-Senior-Mathematics-Journal.pdf

 

Geometry of 3D Pythagorean Theorem

 

 

 

 

 

The Pythagorean Tree: A New Species

H. Lee Price

September, 2008

 

Click to access 0809.4324.pdf

 

 

 

Pythagoras’ garden, revisited

• Frank R. Bernhart, H. Lee Price
• Published 2012

https://www.semanticscholar.org/paper/Pythagoras%27-garden%2C-revisited-Bernhart-Price/96e1d0c6c41d17dc103d1eea7a078c8e640cb903