EZ Math Movie, Examples, Draw a fractal

What fractals are

Very simply put, fractals are shapes that somehow repeat themselves as one examines them in finer and finer detail, like squares at the corners of squares at the corners of squares and so on. Programing computers to draw these shapes often involves using recursive function, functions that call themselves. This animation example demonstrates this way of drawing fractals. During the animation the parameters of the fractal are varied using trigonometric functions oscillating at simple interger ratios.

This is not beginners level. This example is meant to demonstrate that EZ Math Movie can do some interesting, advanced drawings. Click the 'Go' button, looks like: , to see the fractal.

sizeAmplitude = 10.0;
factorAmplitude = 0.3;
minimumAmplitude = 3.0;

angle = 0.0;
deltaAngle = 0.5;

square0 = function(size, factor, min)
{
  if(size > min)
  {
    forward(size);
    square0(size * factor, factor, min);
    right(90);
    forward(size);
    square0(size * factor, factor, min);
    right(90);
    forward(size);
    square0(size * factor, factor, min);
    right(90);
    forward(size);
    square0(size * factor, factor, min);
    right(90);
  }
  else
  {
    for(side = 0; side < 4; side++)
    {
      forward(size);
      right(90);
    }
  }
};

clearGraph();

setLineThickness(2);
setLineColor('blue');

setXY(-7.0, 0.0);
setH(45);

size = abs(sizeAmplitude * cosine(angle));
factor = 0.25 + abs(factorAmplitude * sine(0.5 * angle));
minimum = 0.5 + abs(minimumAmplitude * sine(0.33 * angle));

set1stOutputValue(size);
set2ndOutputValue(factor);
set3rdOutputValue(minimum);

square0(size, factor, minimum);

angle = angle + deltaAngle;

if(angle > 360)
{
  angle -= 360;
}

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Like Math and Physics?

Zona Land Education offers explanations, diagrams, and animations on these topics.
And it is all presented in a clear and casual manner.

Here is the link: zonalandeducation.com

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Here is the link: ezprogramingdemos.com

EZ Math Movie, Examples, Draw a fractal

What fractals are

Nusic

And....

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