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Here are some physics simulations and artwork along with some Mathematica code. See also my Fluid Motion page. Magnetic Field of a Solenoid - new version: POV-Ray 3.6.1, 5/17/06 old version: calculated in Mathematica 4.2, rendered in TrueSpace 4.3, 1/19/03
2D Wave-Particle Simulations - Mathematica 4.2, 1/15/05; C++ version: 5/16/07
Special Relativity - C++, POV-Ray 3.6.1, Mathematica 4.2, 8/25/09
Simulation of Earth as a Black Hole - C++, 8/27/09
Pool Simulations - Mathematica version: 7/9/05, C# version: 10/27/10, rendered in POV-Ray 3.6.1
Pool Fractal: "1 Million Games of Pool" - calculated in C#, rendered in POV-Ray 3.6.1, 10/27/10
Magnetic Pool - calculated in C#, rendered in POV-Ray 3.6.1, 10/27/10
3D Collisions - calculated in Mathematica 4.2, rendered in POV-Ray 3.6.1, 7/9/05
Raindrop Light Refraction & Dispersion - Mathematica 4.2, 1/21/05; C++ version: 7/26/05
Diamond Light Refraction & Dispersion - Mathematica 4.2, 1/29/05
Photon Sphere - Mathematica 4.2, 8/21/09
Einstein Ring - Mathematica 4.2, 2/5/05
N-Linked Pendulum - Mathematica 4.2, POV-Ray 3.6.1, 11/3/08
Tree Simulation - Mathematica 4.2, POV-Ray 3.6.1, 6/23/10
Double and Triple Linked Pendulums - calculated in Mathematica 4.2, rendered in POV-Ray 3.6.1, 1/9/06
Galactic Gravity Simulations - C++, 11/13/07
Water Caustics - Mathematica 4.2, POV-Ray 3.1, 4/22/06
Rayleigh Surface Waves - adapted from Daniel Russell's Mathematica code, C++, 11/2/07
Horseshoe Magnets - new version: POV-Ray 3.6.1, 7/15/06 old version: calculated in Mathematica 4.2, rendered in TrueSpace 4.3, 3/9/03
Halo Orbit - calculated in Mathematica 4.2, rendered in POV-Ray 3.6.1, 12/1/05
Cross Section of the Quintic Calabi-Yau Manifold - Mathematica 4.2, POV-Ray 3.1, 8/25/08
Vibration Mode of a Spherical Membrane - Mathematica 4.2, MathGL3d, 9/28/04
Hydrogen Electron Orbital Probability Distribution Cross-Sections - Mathematica 4.2, 4/30/03 Here are some different shapes that a hydrogen atom can take. These plots are based on the same function as the vibrating balloon (shown above): P = 4 π r^{2}ψ_{r}^{2}ψ_{θ}^{2}, ψ_{r} = e^{-ρ}ρ^{l}L_{n-1-l}^{2l+1}(ρ), ψ_{θ} = Y_{l}^{m}(θ,φ), ρ = 2r/n
Hydrogen 4f Electron Orbital Probability Distribution C++ version: 8/10/09; Mathematica version: 8/22/04; animations: C++, POV-Ray 3.6.1, 11/27/05
Zoom Animation - Google Maps API, POV-Ray 3.6.1, 10/29/07
Fundamental Modes of Vibration for a Violin-Shaped Membrane - GeoStar 2.8, AutoCAD 2000, 4/21/04
31 ^{st} Fundamental Mode of Vibration of a Circular Membrane - Mathematica 4.2, MathGL3d, 11/10/03
Magnifying Glass - POV-Ray 3.6.1, 3/20/07
Spherical Pendulum - calculated in Mathematica 4.2, rendered in POV-Ray 3.6.1, 1/10/06
Cloth Simulation - Mathematica 4.2, MathGL3d, 7/11/05
Fraunhofer Diffraction of Light Through a Circular Aperature - Mathematica 4.2, 8/24/04
Vibrating String with Damping - calculated in Mathematica 4.2, rendered in POV-Ray 3.6.1, 1/27/06
Wave Interference - Mathematica 4.2, 8/24/04
Physics Theory Links First Time Machine - interesing Discovery video about making a time machine using lasers Physics Lectures - free videos by Walter Lewin at MIT HyperPhysics - Georgia State University See also my Physics Experiments links. |