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    • Home
    • Mathematics
      • Bézier Curves
      • Minimal Surfaces
      • Fibonacci
      • Fractal Patterns
      • Polyominoes
    • 3d Printing
      • Fuga Machina
      • RC Car 2000
      • Project Spark
      • Fire Pod
      • Apex Speaker
    • Computer Science
      • Teddie's Extras
      • Mechanics Learning Tool
      • Minesweeper AI
      • DAW Plugin
      • Games
      • Screen Control AI
    • Tuition
      • William
stevenlouw
  • Home
  • Mathematics
    • Bézier Curves
    • Minimal Surfaces
    • Fibonacci
    • Fractal Patterns
    • Polyominoes
  • 3d Printing
    • Fuga Machina
    • RC Car 2000
    • Project Spark
    • Fire Pod
    • Apex Speaker
  • Computer Science
    • Teddie's Extras
    • Mechanics Learning Tool
    • Minesweeper AI
    • DAW Plugin
    • Games
    • Screen Control AI
  • Tuition
    • William

Minimal Surfaces

    Equations USed

    Bubbles and 3d printing

    Examples

    Schwarz P 

    cos(𝑥) + cos(𝑦) + cos(𝑧) = 0


    Double Primitive 

    0.5[cos(𝑥) cos(𝑦) + cos(𝑦) cos(𝑧) + cos(𝑧) cos(𝑥)]+ 0.2[cos(2𝑥) + cos(2𝑦) + cos(2𝑧)] = 0


    Schwarz D 

    sin(𝑥) sin(𝑦) sin(𝑧) + sin(𝑥) cos(𝑦) cos(𝑧) + cos(𝑥) sin(𝑦) cos(𝑧) + cos(𝑥) cos(𝑦) sin(𝑧) = 0


    Complementary D 

    cos(3𝑥+𝑦)cos(𝑧) − sin(3𝑥−𝑦)sin(𝑧) + cos(𝑥+ 3𝑦)cos(𝑧) + sin(𝑥− 3𝑦)sin(𝑧) + cos(𝑥−𝑦)cos(3𝑧) − sin(𝑥+𝑦)sin(3𝑧) = 0

    Minimal Surfaces in architecture

    Check out this great video

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