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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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  • u/taupelink
    briefly: Y ranges from -2 to 2. Below the middle line, Y is positive and there's more green than average. In the large top and bottom areas, Y is between -1 and 1, and there is more blue than average.
  • u/taupelink
    Note the formula for the top of the rectangle, 540+k/Y. This breaks the window up into four horizontal bands. From top to bottom, they are: -2<Y<-1, -1<Y<0, 1<Y<2, and 0<Y<1 respectively.
  • u/taupelink
    Correction: -1<Y<0 is the top band, -2<Y<-1 the second from the top.
  • u/taupelink
    The green component formula is k+k*Y/2. This is greater than k when Y>0.
  • u/taupelink
    The blue formula is k+k*C(Y*1.57). This is greater than k when C(Y*1.57)>0, i.e., when -1<Y<1.

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remix of d/19550 by u/tomxor

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  • u/taupelink
    Varying alpha inversely with brightness can create interesting effects. Here, it varies with t as well. This contributes to the texture of the river. Again, I came across this formula by trial-and-error.
  • u/taupelink
    So that's how I ended up with a red bridge across a river. An inky shadowy red river bridge, if you will.
  • u/taupelink
    (sorry about the repeated comment above...if a moderator could delete those, and this request comment, that'd be great. Thank you!)
  • u/taupelink
    More about how the q**-t works: the taller, brighter blues are more transparent. The shorter, darker ones stand out more, appearing as dark horizontal lines.

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  • u/taupelink
    k*X,k*Y: the X- and Y-coordinates of the upper left-hand corner of the rectangle, scaled by a factor of k.
  • u/taupelink
    k/5**t: the width of the rectangle, which decreases exponentially over time. This can provide texture at different scales, including fine-grained detail.
  • u/taupelink
    i: the height of the rectangle, equal to the index variable. The height of each rectangle is proportional to the red component, indeed to every component; so, for the 120 rectangles that are drawn in any given frame, some are tall and bright, some short and dark.
  • u/taupelink
    A blog post on this dweet is up: https://medium.com/@taupelink/elements-of-a-…

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  • All the colors of a sunrise

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  • u/rep_movsd
    You need to write a blog about this particular technique
  • u/taupelink
    i'd like to, but it would take time (i'm a super slow writer) and it's honestly not a priority at the moment. I can at least say this: Part of how I get four vertical bands is having Y range from less than -1 to greater than 1 (in this case, -2 to 2). Multiplying or dividing by Y then has four effects: stretch or compress, do or do not reverse sign
  • u/rep_movsd
    A one page breakdown would be nice, or perhaps I'll write one
  • u/taupelink
    ah ok...like a line-by-line explanation? that's doable...i'll write something up next weekend!

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remix of d/23756 by u/tomxor

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