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

Screen Shot 2019-09-28 at 2.11.35 PMScreen Shot 2019-09-28 at 2.03.32 PMScreen Shot 2019-09-28 at 2.06.47 PM

Anatomy of the Pythagoras’ tree

Screen Shot 2019-09-28 at 5.41.36 PM

 

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

 

Author: Mayank Chaturvedi

You can contact me using this email mchatur at the rate of AOL.COM. My professional profile is on Linkedin.com.

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