String Art

By repeatedly drawing lines, we can make a curved looking shape. Consider the example below where we imagine dots evenly space along the bottom and the left of a canvas. If we connect the topmost dot on the left edge to the left most dot on the right edge, we would be a line like the picture of the far left. If we then connect the next 10 dots we get a picture in the middle and if we connect all dots we get the picture on the right.

Write a program that creates the "curve" in the above right image using straight lines.

Solution

public class StringArt extends GraphicsProgram {

	/** The size of the screen **/
	public static final int APPLICATION_WIDTH = 400;
	public static final int APPLICATION_HEIGHT = 400;
	
	/** The number of pixels between end points of the line **/
	public static final int LINE_SPACING = 20;
	
	/** The number of lines we will have to draw **/
	public static final int NUM_LINES = APPLICATION_WIDTH / LINE_SPACING;

	public void run() {
		for(int i = 0; i < NUM_LINES; i++) {
			int offset = i * LINE_SPACING;
			int startX = offset;
			int startY = getHeight();
			int endX = 0;
			int endY = offset;
			GLine line = new GLine(startX, startY, endX, endY);
			add(line);
		}
	}
}