FuzzyCurves

For my 19th sketch of Mathober2024, FuzzyCurves is coded in Desmos with the equations for deltoids while the nine point circle is represented through multiple modifications with the aid of SonicPi.

NinePointCircle is the 6th Prompt and Deltoid is the 18th prompt for this year Mathober.

Poem

Rapidly Curving 
Lines are merging and swerving
Diverting their attention
As they intermingle decisions
As they are constantly Curving

Video

Code

Desmos Code

SonicPi Code

live_loop :circling do

  a = dice(5).to_f
  b = (dice(10) + 10).to_f
  c = ((dice(10) - 12).to_f).abs

  puts a,b,c

  use_random_seed Time.now.to_i

  #points of the triangle
  Points = [[a,a],[b,c],[a,c] ]

  # the nine point Circle comes from this circle
  Midpoints = [[((b-a)/2).abs,((c-a)/2).abs],[((b-a)/2).abs,c],[a,((c-a)/2).abs]]

  puts Midpoints[0]
  puts Midpoints[1]
  puts Midpoints[2]


  #bpm
  use_bpm [90,30,10,125].choose

  #synth and sound section
  use_synth [:piano,:hollow,:pretty_bell,:piano].choose

  with_fx :ping_pong, mix: 0.7 do
    with_fx :ixi_techno do
      play a * 15, decay: Midpoints[0][0], sustain: Midpoints[0][1]
      sleep [0.25,0.5,1].choose
      sample :elec_bell, rate: Midpoints[1][0], beat_stretch: Midpoints[2][1] + 0.0001
    end

    with_fx :whammy do
      play b * 5, attack: Midpoints[1][0], decay: Midpoints[1][1]
      sleep [0.25,0.5,1].choose
      sample :drum_bass_soft, rate: Midpoints[0][0], beat_stretch: Midpoints[1][1]
      play c * 3,sustain: Midpoints[2][0], attack: Midpoints[2][1]
      sleep [0.25,0.5,1].choose
    end

  end



  sleep [0.5,1,2].choose

end