## dwitter.net | #math

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``` u(t) is called 60 times per second. t: Elapsed time in seconds. S: Shorthand for Math.sin. C: Shorthand for Math.cos. T: Shorthand for Math.tan. R: Function that generates rgba-strings, usage ex.: R(255, 255, 255, 0.5) c: A 1920x1080 canvas. x: A 2D context for that canvas. ```
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• Tourists visiting the Great Pyramid of Math

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• demonstration of basic fourier curves (square/saw)

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• Shorter version: c.width=512;b=136;h=60;for(a=b*b;a--;)m=a%b-h,y=a/b-h,e=0.7*y,x.fillRect(m+e+100,S(t)*b*Math.exp(-1e-3*(y*y+m*m))+e+150,1,1)

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• Lemniscate

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• Feigenbaum Flower. Homage to Mitchell Feigenbaum (1944-2019). He demonstrated the universal character of dynamical non-linear systems, which has made possible the systematic study of chaos. In 1975, using the small HP-65 calculator, he discovered that the ratio of successive distances between bifurcation events tends to a constant δ ≈ 4.66920... This "ratio of convergence" of period-doubling bifurcations is now known as the first Feigenbaum constant. #bifurcation #attractor #fractal #chaos #math

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• Electric circuit diagram - Advanced Generative Fourier Inductive-Reactance Alternate Current with labels (sketch version) #math #fourier

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remix of d/1755 by u/SpecialAgent

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• This shows the pattern traced by a line directly between the Earth and Venus as they orbit the sun. This pattern is pretty ancient, for example discussed in the book Quadrivum about the old academic relationships between art and science. This type of pattern may be helpful to appreciate the concept of Orbital Resonance in a planetary system.

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