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Mike Tate Mathematics

Index

📐 Geometry Topics Index

🔶 Symmetry & Transformation

  • Ψ — Symmetry Groups & Lie Flows
    Continuous transformation groups, orbits, and algebraic motion.
  • Φ — Modular Morphic Geometry
    Root permutations and deformation-driven geometric transitions.
  • 🔁 Explore Galois Groups

🧊 Topological & Algebraic

  • 🕸️ Sheaves & Covering Spaces
    Local-to-global structure via layered coverings.
  • 🌀 Homotopy & Deformation Fields
    Continuous equivalence, loops, and shape morphisms.
  • 📄 Faulhaber Braiding (PDF)

🌊 Analytic & Harmonic

  • 🎵 Spectral Lattice Geometry
    Chebyshev harmonics layered over prime-weighted spectra.
  • 🚶 Arithmetic Flow & Geodesics
    Prime-driven motion across curved arithmetic spaces.
  • 🧮 Polynomials & Primes

🔄 Continuity & Curvature

🎲 Modular Game Tools

Symbolic simulations designed for playful exploration of harmonic, probabilistic, and geometric systems — modular, recursive, and visually engaging.

Explore All Apps & Simulations →

🧠 MTM Interactive Modules

Tap into symbolic, visual, and gamified engines for exploring structure, resonance, pattern, and depth across logic and math.

📚 Explore the Modular Index

🔬 Advanced Math Systems

Recursive symbolic structures and keystone problems — from orbital harmonics to quaternionic logic and knot topologies.

🧩 Recursive Learning & Expansion