Annotating the Wall

The following list contains the names of all equations, formulas, and illustrations that are shown on the Wall. The goal is to create a helpful explanation for each element of the list.

• I. Jones polynomial for right trefoil knot; Witten’s path-integral formulation for Jones polynomial using Chern-Simons action
• II. Feynmann Diagram illustrating Associativity equation in Quantum Field Theory
• III. Yang-Baxter equation
• IV. Lorenz Attractor: Lorenz equations with orbit
• V. Diagram of a black hole with Schwarzschild radius
• VI. The five regular polyhedra
• VII. Equiangular spiral drawn in "golden" rectangle (side ratio = golden mean g), ratio of consecutive Fibonacci numbers approaches g, represented by its continued fraction expansion.
• VIII.Babylonian computation of the square root of 2
• IX. Visual proof of the Pythagorean Theorem
• X. Cell decomposition of torus; Euler characteristic; Gauss-Bonnet formula.
• XI. Archimedes: On the Sphere and Cylinder.
• XII. Aharanov-Bohm effect
• XIII.Supergravity Langangian; root diagramm for Lie group E8
• XIV. Navier-Stokes equation with flow around cylinder.

• 0. In Ellipse: (Kepler's 1st law represented by star, ellipse, planet)
• 1. Kepler's 2nd law
• 2. Newton's force-acceleration equation
• 3. Kepler's 3rd law
• 4. Newton's gravitational law
• 5. Einstein's General Relativity equation
• 6. Schrödinger's equation
• 7. Dirac equation
• 8. Atiyah-Singer Theorem
• 9. Yang-Mills equations
• 10. Defining relation of Supersymmetry

• A. Einstein’s mass-energy equation
• B. Maxwell's Equations
• C. Stoke's Theorem
• D. The boundary of a boundary is zero
• E. Heisenberg's indeterminacy relation
• F. Euler's formula for Zeta-function
• G. Interaction between two string; Feynman diagram shows corresponding interaction of particles, here the Compton scattering of a photon off an electron.

Further Resources

• Youtube playlist with helpful videos
• List of elements on the Wall at Stony Brook