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  • Today, 27-28 August 2026
    • The 81018 Model of 202 Notations
    • Key Pages of this Model
    • • Notations 0-10: The Geometric Foundation
    • • New Foundations: An introduction
    • • Notations 0-24: From Planck Scale to Grand Unification
    • • Geometric Emergence of Gauge Symmetries
    • • The 7.356° Gap: Natural Path From Geometry to Physics
    • • The Breaking Cascade: Notations 24-67
    • • E8 and Maximum Symmetry at Notation-32
    • 202 Notations Map the Universe
    • • A Base-2 Map from the Planck Scale to the Observable Universe in 202.34 Steps
    • • Langlands Correspondences as Physical Mechanism
    • • Hubble Constant
    • •Testable-Predictions
    • • 202 Notations-Groups of 10
  • Home
    • Aug. 12: Constraint Classes
    • • Other pages:
      • • REVIEW
      • • PPC: Analysis
      • • 2025: Dec 19 Anniversary
      • • DeepSeek – Pre-space-time
      • • RI-MOM (Regularization Independent-Momentum)
    • July 4: New Freedom
    • June 1: Scale-dependencies
    • July 5: Landing Now
    • June 21: Model-Defined
    • May 24: Sphere-to-Universe
    • May 20: No Big Bang
    • May 18: First Sphere
    • May 14: Fingerprints
    • May 10: Quiet Revolution
    • April 30: Idea Evolution
    • Apr. 20: Paradigm Shift
    • April 15: Simplify
    • April 6: Breaking Through
      • 137 Anchor
      • Dark Matter
      • Fluctuations
    • April 3: 81018 Model
    • March 15: Eight AIs:
    • 2nd: No Arrogance-No Fear
    • April 1: April Fools
    • March 18: Universe Model
    • March 16: Sister’s Birthday
    • March 14: PI Day
    • March 2: Start Universe
    • March 10: Claude test
    • March 4: Six AIs Concur
    • March 1: Wrong Models
    • March
    • Feb.1: SOU First Draft
    • Feb. 18: State of Universe
    • February – SOU
    • Jan. 22: Geometry-Physics
    • Jan. 18: Pure perfection
    • Jan. 3: 0-10 Notations
    • Jan. 3: Doradus
    • Jan. 2: Sagittarius B2
    • 2016-2026
    • 2025
    • Dec. 19-31: Penultimates
    • December 3: Fundamentals
    • Nov 25: Core Toy
    • Nov. 20: Map Universe
    • Nov 10: Again-π-e-φ-√2
    • Nov 4: First Second
    • Oct. 28: First Moments
    • Oct. 26: DeepSeek
    • Oct. 21: Hubble Constant
    • October 6: Toy Models
    • Sept.22: Where to?
    • Sept.14: Original Concepts
    • September 7: Original Ideas
    • July 24: Qualitative Start
    • July 8: Hexagonals
    • June 17: Hyper-rational
    • May 27: π.e.√2.φ
    • May 14: Incommensurable
    • May 11: AI Open Letter
    • April 27: QEM
    • April 11: Symphony
    • April 1: April Fools
    • March 29: Big Ideas
    • March 15: Revolutionary
    • March 14: Pi Day
    • March 13: Breakthrough
    • Feb. 28: Consciousness
    • Feb. 14: What Is Love?
    • February 10: Essences
    • Jan. 30: Absurdities
    • 2025: January 11 – AI Intro
    • 2024
    • 2024: Dec. 30: – Grokked!
    • Dec. 14: Structures
    • December 3: Paradigms
    • November 15: Thought
    • October 16: First Instant
    • October 2: Infinitesimals
    • 9-11: Interdependencies
    • Sept. 3: Too Simple
    • August 15: First identity
    • July 14: Enigmatic Univ.
    • July 5: Mistaken
    • July 1: First Page
    • June 8: You, you, you
    • May 31: Integrity
    • April 1: Humpty Dumpty
    • May 21: Nobel Laureates
    • May 8: big bang on ice
    • April 22: Frank Wilczek
    • April 8: Study Mistakes
    • March 21: Number Theory
    • Mar. 13-14: Pi Day
    • March 10: Qualitative
    • March 5: Questions
    • Feb:20: Reformatting
    • Feb. 7: Big Bang Theory
    • Jan.18: Star formation
    • Jan. 9: 12 Key Concepts
    • Jan.8: What’s infinite?
    • Jan.5: What’s time?
    • Jan. 4: Grasp it all
    • 2024: Jan. 2 – New year
    • 2023
    • 2023: Dec. 12, End-Of-Year
    • Nov. 26: Missing Keys
    • Nov. 13: ESG-DEI
    • Oct. 27: New Science
    • Oct. 20: Standard Model
    • Oct 14: Facts & Guesses
    • Oct. 14: Particle Physics
    • Sept. 28: UniverseView
    • Sept 23: Exquisite Grid
    • Sept.15: Eight-Minutes
    • Aug. 30: Third Way
    • Aug. 23: No Big Bang
    • August 17: Perfect Start
    • July 31: Start/Grow
    • July 20: Planck Scale
    • July 1: Revolutions
    • June 18: AI Ethics
    • May 31: Be creative
    • May 30: Jinping / Marx
    • May 20: The Firsts
    • May 3: Most Simple
    • Apr 20: The basics
    • April 4: Resolution
    • Mar. 21: Beyond pi (π)
    • March 4: Pi Day 2023
    • Feb. 3: New Inflaton
    • Jan 27: Pi, finite-infinite
    • 2023 Jan. 21: de facto de jure
    • 2022 Dec. 23: All Time Is Now
    • 19 December 2022
    • Dec. 6: All-Natural View
    • Dec 1: Paradigm Shifts
    • Nov 23: BB Versus QE
    • Nov. 6: Big Bang Silent
    • Oct. 8: Reason to believe
    • Sept. 25: JWST Smooth
    • Sep 9: Universe/Math
    • August 31: Conundrums
    • August 4: Simple Model
    • July 28: Eight Concepts
    • July 12: Starting Point
    • July 10: Basic Gaps
    • June 29: The Knowns
    • Apr 15: Questions
    • June 9: Editors
    • June 3: 202 Notations
    • May 30: New Way
    • May 17: Perfection-Gaps
    • May 14: Agreements
    • Apr 30: Hypostatics
    • Apr 8: Point Particle
    • Apr 5: Fourier Gravity
    • April 2: Checklist
    • April 2: Re-envision
    • April 2: Begin Here
    • March 17: STEM Tool
    • March 14: Pi Day
    • Mar 2: My Universe View
    • Feb.26: Vladimir Putin
    • Feb 16: Known Unknowns
    • Feb 1: Prove It To Me
    • Jan 8: The First Particle
    • Jan 2: Tredecillions
    • 2022 Jan. 2: Primordial
    • 2022
    • 2021 Nov. 18: Almost there
    • Nov. 10: Questions
    • Oct. 19: Extremes
    • October 6: Key Concepts
    • Sept. 10: Virtual Reality
    • June 10: Empower
    • June 5: Re-envision It All
    • June 1: Envision A Start
    • May 12: Universe Starts
    • April 12: Questions
    • Mar. 23: James Peebles
    • March 14: Pi Day
    • Jan. 25: Essentials
    • 2021 January 18: Precis
    • 2021
    • 2020 Dec. 26: Conscious
    • Dec. 14: The First Instant
    • November 16: Expansion
    • Oct. 29: Our history
    • October 16: Countdown
    • Sept. 23: Kinder, Gentler
    • Sept 18: Continuity
    • Sept. 15: Our Goals
    • Aug. 16: Just A Second!
    • Aug. 2: First Minutes
    • July 20: Concepts & Ideas
    • June 25: Integrate All
    • June 9: The Now
    • May 24: Biased
    • May 23: Infinite-Finite
    • April 23: Warm & Fuzzy
    • April 2: Indeterminancy
    • Mar. 24: Space-time
    • Mar. 8: Imperfections
    • Mar. 1: Claims
    • Feb 23: Perfection
    • Feb. 9: 12 Keys
    • Jan 24: Alternatives
    • Jan 10: Departures
    • 2020 January 1, 2020: The “I”
    • Dec. 20: Model Review
    • Dec. 18: Newton’s Curse
    • Dec. 10: Access it all
    • Nov. 28: Compilation
    • Nov. 11: Finite-Infinite
    • Oct. 12: Map the Universe
    • October 1: Simple Model
    • Sept 14: Bottom-up
    • Aug.14: Nobel Laureates
    • Aug. 1: Transformation
    • July 14: More questions
    • July 2: Nature of Time
    • June 17: Gell-Mann
    • June 11: From Lemaître
    • June 9: Hattie is right
    • May 2019: Structure II
    • April 28: Finite-Infinite
    • April 22: Structure I
    • April 20: New STEM
    • April 3: Pi-to-E8
    • Mar. 30: Maybe
    • Mar. 25: Key Pages/Chart
    • Mar. 24: Start-Begin
    • Mar. 23: The Sphere
    • Mar. 22: Looking Back
    • Mar. 11: Five Constructs
    • Mar. 10: Pi Day 2019
    • Mar. 6: Steps Redefine
    • Mar. 5: Foundations
    • Mar. 4: Universe Clock
    • March 1: Assumptions
    • Feb 28: Calculations
    • Feb 24: Open Questions
    • Jan. 31: Key Question
    • 2019 (January): Model
    • 2019
    • Dec 16: Buzz Lightyear
    • Dec. 11: Planck Scale
    • Dec 7: Reformulating
    • Nov. 12: “To Infinity”
    • November 6: No Elitism
    • Oct. 26: Overview
    • Oct. 23: Points
    • Oct. 22: Quantum Gravity
    • Oct: Weinberg-Wheeler
    • Oct. 20: Five Stories
    • Oct. 16: Dark Stuff
    • Oct. 12: What now?
    • Oct. 1: 64 Notations
    • October: Everything…
    • Sept. 28: Open Letter II
    • Sept. 20: Gravity
    • Sept. 19: A Simple Way
    • Sept. 17: Open Letter
    • Sept. 14: Your Review
    • Sept. 12: Questions
    • Sept 5: Commonsense
    • Aug. 26: Problems
    • August 3: Functions
    • July 27: Attitudes
    • July 23: Options
    • July 16: Standard Models
    • July 8: Compilations
    • July 4: Revolutions
    • June 21: Emergence
    • June 10: Measurements
    • May 18: Alternative
    • April 30: Growth
    • April 21: Imagination
    • April 16: Einstein
    • March 30: Concepts
    • March 15: Redefine
    • March 14: Pi Day
    • March 5: Our Goals
    • March 1: Cosmology III
    • Feb. 17: Finite-infinte
    • Feb. 10: Cosmology II
    • Feb. 3: Cosmology I
    • Jan. 27: What if
    • 2018
    • 2018, Jan. 24: Team
    • Dec 22, 2017: Lucasians
    • Dec 19: Anniversary
    • Dec 3: Little Index
    • Nov 15: Simple First
    • Nov 27: Fabric d’Universe
    • Nov 18: Pi to Forms
    • Nov 12: Seven Reasons
    • Nov 11: Veterans’ Day
    • Nov 9: Overview
    • Nov 6: Exascale
    • Nov 8: Expo-Universe
    • Nov 5: The Infinite
    • Nov 4: Dusty roads
    • Nov 3: Open Dialogue
    • Oct 28: Who What When
    • Oct 20: Simple Concepts
    • Oct 7: In Search Of
    • Oct 5: Faces of Spacetime
    • Oct 2: Foundations
    • Sept 30: Hypostatics
    • Sept 27: Belief Systems
    • Sept 25: Scholars’ Emails
    • Sept: Big Bang Is Wrong
    • Sept 17: Harmony
    • Sept 9: Symmetry
    • Sept 2: Continuity
    • August 29: Thrust
    • August 28: Eclipse
    • August 12: Limits
    • Aug 2: Measurement
    • July 24: Time
    • July 23: Genesis 1.1
    • July 8: Everything-Time
    • July 3: Dystopia
    • June 27: Turok-Hawking
    • June 25: Solipsism…
    • June 11: Big Bang On Ice
    • June 3: Emergent Model
    • May 10: Report #3 NASA
    • May 8: Report #2 NASA
    • May 2: Report #1 NASA
    • April 27: NASA
    • April 19: Hypostatic Way
    • March 11: Dissonance
    • March 20: Universe Opens
    • Feb. 26: Limitations
    • Feb.17: Mistakes
    • Feb. 11: Pi & Value
    • Feb. 3: The universe
    • Feb. 1: In the beginning…
    • Jan. 28: Mistakes…
    • Jan. 24: Great Divide
    • Jan. 19: Transformations
    • 2017
    • 2017 (January): Big Bang
    • Dec. 25, 2016: Light Light
    • Dec. 22: Yes, light!
    • Dec 18: Kings & Queens
    • Dec. 11: Integration
    • Dec. 1: Universe View
    • July 5: Table of Contents
    • 2016, July 4: Space & Time
    • 2016
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"One Sphere to the Standard Model to the universe: How Base-2 Geometry Generates Gauge Symmetries"

About the word, Philomorphs

This image is of an introduction to the article at JSTOR.

  1. Click here or just above to see how Philomorphs has been used within this site.
  2. Click here to go to correspondence to Denis Weaire.
  3. Click here to go to the American Philosophical Society. And, here to Volume 145, No. 4.

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