Quantum Gravity Research
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Golden Ratio/Packing of Tetrahedra

2017

Emergence of an aperiodic Dirichlet space from the tetrahedral units of an icosahedral internal space

Amrik Sen, Raymond Aschheim, Klee Irwin (2017)
Mathematics 5 (2), 29

Quantum Walk on a Spin Network and the Golden Ratio as the Fundamental Constant of Nature

Klee Irwin, Fang Fang, Marcelo Amaral, Raymond Aschheim (2017)
ResearchGate
General Relativity 1916-2016/Minkowski Institute 4th International Conference on the Nature and Ontology of Spacetime

2014

An Icosahedral Quasicrystal as a Packing of Regular Tetrahedra

Fang Fang, Julio Kovacs, Garrett Sadler, Klee Irwin (2014)
ACTA Physica Polonica A (2014) volume 126
/From the Proceedings of the 12th International Congress on Quasicrystals

2013

Periodic Modification of the Boerdijk-Coxeter Helix (Tetrahelix)

Garrett Sadler, Fang Fang, Julio Kovacs, Klee Irwin (2013)
Mathematics 2019, 7(10), 1001

Cabinet of Curiosities: the Interesting Geometry of the Angle β=arccos((3φ – 1)/4)

Fang Fang, Klee Irwin, Julio Kovacs, Garrett Sadler (2013)
Fractal Fract 2019, 3(4), 48

2012

Golden, Quasicrystalline, Chiral Packings of Tetrahedra

Fang Fang, Garrett Sadler, Julio Kovacs and Klee Irwin (2012)
ReasearchGate

THE BASICS

  • Emergence Theory Overview
  • Glossary
  • Emergence Theory Extras

Publications

Object Library

VIDEOS

  • Movies
  • QGR Lectures & Presentations
  • Guest Lectures & Presentations
  • Visualizations and Animations
  • For Fun

THE GROUP

  • Our Staff
  • Associate Scientists
  • Our Mission
  • Our Story
  • Support Us
  • Media Coverage
  • Job Openings
  • Store
  • Grants
  • Contact

  • The Theory
    • The Basics
      • Emergence Theory Overview
      • Glossary
      • Emergence Theory Extras
    • Publications
      • All Papers
      • Golden Ratio/Packing of Tetrahedra
      • Geometry
      • Geometric Topology
      • Quasicrystals
      • E8 Quasicrystals and the QSN
      • Spin Network
      • Number Theory
      • Unification
      • Cosmology
      • Quantum Computing
      • Conference Materials
    • Videos
      • All Videos
      • Movies
      • QGR Lectures and Presentations
      • Guest Lectures and Presentations
      • Visualizations and Animations
      • For Fun
      • Meet Our Scientists
      • QGR in Foreign Languages
    • Object Library
  • The Group
    • Our Staff
    • Associate Scientists
    • Our Mission
    • Our Story
    • Media Coverage
    • Job Openings
    • Teespring Store
    • Grants
    • Contact
  • Support Us