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- /*************************************************************************
- * Compilation: javac Butterfly.java
- * Execution: java Butterfly
- * Dependencies: StdDraw.java
- *
- * Plots a butterfly-like curve.
- *
- * Reference: A. K. Dewdney's The Magic Machine. Credited to
- * Temple H. Fay of the University of Southern Mississippi.
- *
- *************************************************************************/
- public class Butterfly {
- public static void main(String[] args) {
- StdDraw.setXscale(-4, 4);
- StdDraw.setYscale(-4, 4);
- double x0 = 0, y0 = 0;
- for (double theta = 0.0; theta < 72; theta += 0.01) {
- double r = Math.exp(Math.cos(theta)) - 2*Math.cos(4*theta) + Math.pow(Math.sin(theta/12), 5);
- double x1 = r * Math.cos(theta);
- double y1 = r * Math.sin(theta);
- StdDraw.line(x0, y0, x1, y1);
- x0 = x1;
- y0 = y1;
- }
- }
- }
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