Mike Tate Mathematics

Index

๐Ÿ“ Geometry Topics Index

๐Ÿ”ถ Symmetry & Transformation

  • ฮจ โ€” Symmetry Groups & Lie Flows
    Continuous transformation groups, orbits, and algebraic motion.
  • ฮฆ โ€” Modular Morphic Geometry
    Root permutations and deformation-driven geometric transitions.
  • ๐Ÿ” Explore Galois Groups

๐ŸงŠ Topological & Algebraic

  • ๐Ÿ•ธ๏ธ Sheaves & Covering Spaces
    Local-to-global structure via layered coverings.
  • ๐ŸŒ€ Homotopy & Deformation Fields
    Continuous equivalence, loops, and shape morphisms.
  • ๐Ÿ“„ Faulhaber Braiding (PDF)

๐ŸŒŠ Analytic & Harmonic

  • ๐ŸŽต Spectral Lattice Geometry
    Chebyshev harmonics layered over prime-weighted spectra.
  • ๐Ÿšถ Arithmetic Flow & Geodesics
    Prime-driven motion across curved arithmetic spaces.
  • ๐Ÿงฎ Polynomials & Primes

๐Ÿ”„ Continuity & Curvature

๐ŸŽฒ Modular Game Tools

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

Explore All Apps & Simulations โ†’

๐Ÿง  MTM Interactive Modules

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

๐Ÿ“š Explore the Modular Index

๐Ÿงฎ Functions & Algebra

๐Ÿ“ Geometry & Harmonics

๐Ÿ”ฌ Advanced Math Systems

Recursive symbolic structures and keystone problems โ€” from orbital harmonics to quaternionic logic and knot topologies.

๐Ÿงฉ Recursive Learning & Expansion