Thank you for asking! This is exactly what I need right now. Here is a Scratch version of my favorite Logo program from my childhood. scratch.mit.edu/projects/605658

I currently find a lot of these to be intriguing (click on "More...", too) forthsalon.appspot.com

For me that would be the formula for squircle - it's shape is just so pleasant to look at... (shadertoy.com/view/ll23DW)

Squircles are the bestircles!

vesicle is ~32 lines of World in Emoji, here's a fresh run

jazztap.github.io/research/vesicle

@Jasmine Otto Interesting! knee-jerk thoughts and neuron firings:

a. Game of Life with fuzzy logic

b. Brusselator en.wikipedia.org/wiki/Brusselator (ref'd by Dr. Paul LaViolette's Subquantum Kinetics)

Paul Tarvydas Ooh, I haven't revisited the Brusselator in five years, thanks. I believe Varela et al. took inspiration from them via Foerester's BCL. Particularly from that evocative idea of chemical clocks.

Back in undergrad, I spent some time chasing down models of Drosophila segmentation as an example of a reaction-diffusion system exquisitely governed by signal hormone expression. So I'm very glad someone got those plots for Wikipedia to turn out. lukaswittmann.com/work/bachelors-thesis-the-brusselator

@Jasmine Otto

When I think of The Game of Life, I don’t see “equations”, I see “algorithm”.

When I look at the 4 “rules” of a Brusselator, I see “algorithm”.

(some thoughts, currently inconsistent)

programmingsimplicity.substack.com/p/brusselator-pondring-aloud?r=1egdky

Here's my answer: 24 lines of LÖVE that simply rotate what you draw 48 times.

N = 48 -- numbers of axes of radial symmetry

Points = {}

Rotate = true

W, H = love.window.getMode()



function love.draw()

  local g = love.graphics

  g.setBackgroundColor(0.2,0.2,0.4)

  g.setColor(0.8,0.8,0.8)

  g.translate(W/2, H/2)

  g.circle('fill', 0,0, 50)

  for i=1,N do

    g.line(-W,0, W,0)

    if #Points >= 4 then

      g.line(Points)

    end

    g.rotate(2*math.pi/N)

    if not Rotate then break end

  end

end



function love.keypressed()

  Rotate = not Rotate

end



function love.mousemoved(x,y)

  if not love.mouse.isDown(1) then

    return

  end

  table.insert(Points, x-W/2)

  table.insert(Points, y-H/2)

end

I think of it as a mandala. The chicken scratches that yield it when seen without all the rotated copies.program. By using a computer you eliminate any possibility of meditation or transcendant peace 🙂 But on the other hand, it takes whatever my kids throw at it and makes it beautiful.

I'll be unoriginal and cite the classic Munching square. e.g. shadertoy.com/view/Mtsyz2 (I do love the grayscale variants, but the B&W shows the "munching" process best)

EDIT: and the / maze but now I see Kartik already mentioned it. [For more sophisticated maze algorithms, mazesforprogrammers.com is great fun.]

Love it. Probably the most exciting thing about coding agents as such is how they can help lower the bar for bespoke one-offs. For instance instead of just describing an orrery with text, I wanted an interactive one with both reasonable table-top scale for the earth, sun, and moon as well as a realistic scale so you could really see and feel how small the sun and moon are in the sky. Really cool, but without assistance not worth the effort.

I love the story about your son. my son is 8 and my daughter is 10.

And somehow my related it to this

sethpurcell.com/writing/screens-in-museums

via news.ycombinator.com/item?id=45199931