3D Diagrams of the Universe from ibiblio.org

Each link is a different mathematical concept or formula that is being visualized using WebGL; allowing us to see, interact with, and learn about the fundamental building blocks of our reality. The beauty of these diagrams is not just from their mesmerizing geometric art, but also the fact that they are direct representations of the underlying code that forms all that we Perceive.

 

Basics:

Intro: https://www.ibiblio.org/e-notes/webgl/gpu/intro.htm

*Polyhedrons: https://www.ibiblio.org/e-notes/webgl/polyhedra/polyhedra.htm  

Stimuli: http://www.ibiblio.org/e-notes/webgl/simul.htm

Incident (something happened, 1d): https://www.ibiblio.org/e-notes/webgl/gpu/incident.htm

Diffusion: https://www.ibiblio.org/e-notes/webgl/gpu/diff_impl.htm

Absorbortion: https://www.ibiblio.org/e-notes/webgl/gpu/em/boundary.htm

Reflection (interference): https://www.ibiblio.org/e-notes/webgl/waves/reflection.html

Loss: https://www.ibiblio.org/e-notes/webgl/gpu/em/lossy1d.htm

Spiral: https://www.ibiblio.org/e-notes/webgl/gpu/advect.htm

Pulse1: https://www.ibiblio.org/e-notes/webgl/gpu/em/pulse1d.htm

slit(lense, 1): https://www.ibiblio.org/e-notes/webgl/gpu/slit2abc0.htm

slit(lense, 2): https://www.ibiblio.org/e-notes/webgl/gpu/slit2abc2.htm

Slit(lense, 3): https://www.ibiblio.org/e-notes/webgl/gpu/slit2l.htm

 

Waves/Vibrations:

*Flat wave (1 dimension): https://www.ibiblio.org/e-notes/webgl/gpu/flat_wave.htm

Flat wave 2 (decays): https://www.ibiblio.org/e-notes/webgl/gpu/flat_wave2.htm

*Wave on plane (2 dimensions): https://www.ibiblio.org/e-notes/webgl/waves/wave.html

https://www.ibiblio.org/e-notes/webgl/gpu/big_wave.htm

Resonance wave (musical notes): https://www.ibiblio.org/e-notes/webgl/waves/resonance.html

Wave Eigenmodes: https://www.ibiblio.org/e-notes/webgl/waves/modes.html

Wave traveling: https://www.ibiblio.org/e-notes/webgl/waves/travel.html

Waves on a sphere: http://math.ucr.edu/~karl/WebGL/elasticsphereGPU.html

*Wave traveling in 3d space (3 dimensions within a cube) https://www.ibiblio.org/e-notes/webgl/gpu/waves/barkley3Dstr.html  Only highly excited points are shown to see vortex structure.

Wave in 3d (3 dimensions waves on surface of a cube) (ZOOM INTO THIS ONE) https://www.ibiblio.org/e-notes/webgl/gpu/waves/barkley3d.html

 

Water:

Diffraction of wave: https://www.ibiblio.org/e-notes/webgl/waves/diffraction.html

Fluid Dynamics: https://www.ibiblio.org/e-notes/webgl/gpu/fluid.htm

(more accurate version): https://www.ibiblio.org/e-notes/webgl/gpu/fluids16.htm

*Different Fluids Interacting (Ink Droplet in Water): https://www.ibiblio.org/e-notes/webgl/gpu/droplet.htm

(more accurate version) https://www.ibiblio.org/e-notes/webgl/gpu/droplet16.htm

Waves in water: https://www.ibiblio.org/e-notes/webgl/waves/water.html

Whirlpool: https://www.ibiblio.org/e-notes/webgl/waves/whirlpool.html

Stream: https://www.ibiblio.org/e-notes/webgl/gpu/stream.htm

Droplet: https://www.ibiblio.org/e-notes/webgl/gpu/droplet.htm

Frost: http://www.ibiblio.org/e-notes/webgl/snow/frost.htm

Perfect Snowflake: http://www.ibiblio.org/e-notes/webgl/snow/snowflake1k.htm

Snow: http://www.ibiblio.org/e-notes/webgl/snow/

3D Snowflakes: http://psoup.math.wisc.edu/3dMovies/3dMovies.htm

Flooding (waves under certain phase) http://www.ibiblio.org/e-notes/Perc/contour.htm

 

Thermal Dynamics:

Temperature (magnetic 2 color): http://www.ibiblio.org/e-notes/Perc/ising.htm

Temperature (magnetic, 3 color) http://www.ibiblio.org/e-notes/Perc/potts3.htm

Temperature (XY Model) (magnetic, color spectrum) http://www.ibiblio.org/e-notes/Perc/xy.htm

 

Light:

Light interference (2 points of interference, 3 colors): https://www.ibiblio.org/e-notes/webgl/waves/interference_rgb.html

Light interference (3 points of interference): https://www.ibiblio.org/e-notes/webgl/waves/interference3rgb.html

Schrodinger (color 2d): https://www.ibiblio.org/e-notes/webgl/gpu/schrodinger2d.htm

Schrodinger (color 3d): https://www.ibiblio.org/e-notes/webgl/gpu/schrodinger.htm

Annihilation: https://www.ibiblio.org/e-notes/webgl/waves/annihilation.html

Vortex (anti-annihilate): https://www.ibiblio.org/e-notes/webgl/waves/vortex.html

 

Chaos:

Rossler strange attractor (1 dimension of infinitely random possibilities): http://www.ibiblio.org/e-notes/webgl/rossler.html

Lorenz strange attractor aka Butterfly effect diagram (2 dimensions of infinitely  random possibilities): http://www.ibiblio.org/e-notes/webgl/lorenz_model.html

Formation of Lorenz strange attractor (Interactive, evolving Butterfly effect): http://www.ibiblio.org/e-notes/webgl/gpu/chaos/lorenz_gpu.html

Butterfly effect formation aka interactive Lorenz strange attractor with live error correction (makes diagram less organized, but more like the chaos of true reality) https://www.ibiblio.org/e-notes/webgl/gpu/chaos/lorenz_gpuRK2.html

 

Hamiltonian chaos:

ALL CHAOS: http://www.ibiblio.org/e-notes/Chaos/contents.htm

 

Quadratic Chaos: http://www.ibiblio.org/e-notes/Chaos/bifurcat.htm

Chaos resonance points: http://www.ibiblio.org/e-notes/Chaos/res.htm

Homoclinic structures in the standard map: http://www.ibiblio.org/e-notes/Chaos/homoc_std.htm

Henon Map: http://www.ibiblio.org/e-notes/Chaos/quad.htm

The Standard Map of Chaos: http://www.ibiblio.org/e-notes/Chaos/stdmap.htm

 

Celestial/Heavenly Manifestations:

A single instance of Karma: https://www.ibiblio.org/e-notes/webgl/gpu/waves/karma.html

 

Galaxy formation: https://www.ibiblio.org/e-notes/webgl/gpu/n-toy.html

 

The Game of Life:   https://www.ibiblio.org/e-notes/webgl/ca/

Conway’s Game of Life (Magnified): https://www.ibiblio.org/e-notes/webgl/ca/life_mag512.html

Conway’s Game of Life (3D): https://www.ibiblio.org/e-notes/webgl/ca/life3Drnd.html

Game of Life (Coral Reef Example): https://www.ibiblio.org/e-notes/webgl/ca/b3s45678.html

Game of Life (Immortality Example): https://www.ibiblio.org/e-notes/webgl/ca/b34s34.html

Game of Life (Maze of Consciousness Example): https://www.ibiblio.org/e-notes/webgl/ca/b3s12345.html

 

Cell growth: https://www.ibiblio.org/e-notes/webgl/ca/ca_rand800.html

Cell growth (magnified): https://www.ibiblio.org/e-notes/webgl/ca/ca_mag.html

 

Magnets:

Electromagnetism: https://www.ibiblio.org/virtualcell/textbook/phy/emwave.htm

Magnetics: http://www.ibiblio.org/e-notes/Perc/inst.htm

Wave excitation (2D): http://www.ibiblio.org/e-notes/Perc/xy.htm

Wave excitation (3D): http://www.ibiblio.org/e-notes/Perc/xy3D2.htm

 

Fractals:

All Fractals: http://www.ibiblio.org/e-notes/MSet/Contents.htm

 

 

Heart Rhythms:

Spiral flower: http://www.ibiblio.org/e-notes/html5/fhn2d_ti2.html

Traveling waves 1d http://www.ibiblio.org/e-notes/html5/karma1d.html

Traveling waves 2d http://www.ibiblio.org/e-notes/html5/karma2d.html

Traveling waves (3d) http://www.ibiblio.org/e-notes/html5/karma3d.html

Spiral tip dynamics: http://www.ibiblio.org/e-notes/html5/bcf2d_tip.html

http://www.ibiblio.org/e-notes/html5/n2Dtip.html

http://www.ibiblio.org/e-notes/html5/MBR2Dtip.html

http://www.ibiblio.org/e-notes/html5/mlr2Dtip.html

http://www.ibiblio.org/e-notes/html5/tnnp2dtip.html

http://www.ibiblio.org/e-notes/html5/ap2d_mg.html

 

Double Tip: http://www.ibiblio.org/e-notes/html5/fhn3d_ti2.html

 

Spiral space (tension): http://www.ibiblio.org/e-notes/html5/fhn3d_tens.html

Spiral wave instabilities: http://www.ibiblio.org/e-notes/html5/fhn3d_ti.html

 

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