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Below is the free java source code of a recursive Koch Snow Flakes. Have fun with it by trying it in your java compiler and also I suggest that you study its algorithm and make other java applet applications using it as a reference. This recursive koch snow flakes program use the recursive Serpienski Gasket as its main reference as well as used the formula below in forming its source code.

Java Source Code: Recursive Koch Snow Flakes Formula:

Given the 2 Points (X1, Y1) and (X5, Y5)

——Let——

deltaX = X5 – X1,

deltaY = Y5 – Y1

X2 = x1 + deltaX / 3,

Y2 = Y1 + deltaY / 3

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X3 = 0.5 * (X1 + X5) + squareRootOf(3) * (Y1 – Y5) / 6,

Y3 = 0.5 * (Y1 + Y5) + squareRootOf(3) * (X5 – X1) / 6

X4= X1 + 2 * deltaX / 3,

Y4 = Y1 + 2 * deltaY / 3

Java Source Code For Recursive Koch Snow Flakes:

//java source code for a recursive koch snow flakes

import java.awt.*;

import javax.swing.*;

public class recursiveKochSnowFlakes extends JApplet{

int level = 0;

public void init(){

String levelStr = JOptionPane.showInputDialog(“Enter the depth of recursion”);

level = Integer.parseInt(levelStr);

}

public void paint(Graphics g){

drawSnow(g,level,20,280,280,280);

drawSnow(g,level,280,280,150,20);

drawSnow(g,level,150,20,20,280);

}

private void drawSnow (Graphics g, int lev, int x1, int y1, int x5, int y5){

int deltaX, deltaY, x2, y2, x3, y3, x4, y4;

if (lev == 0){

g.drawLine(x1, y1, x5, y5);

}

else{

deltaX = x5 – x1;

deltaY = y5 – y1;

x2 = x1 + deltaX / 3;

y2 = y1 + deltaY / 3;

x3 = (int) (0.5 * (x1+x5) + Math.sqrt(3) * (y1-y5)/6);

y3 = (int) (0.5 * (y1+y5) + Math.sqrt(3) * (x5-x1)/6);

x4 = x1 + 2 * deltaX /3;

y4 = y1 + 2 * deltaY /3;

drawSnow (g,lev-1, x1, y1, x2, y2);

drawSnow (g,lev-1, x2, y2, x3, y3);

drawSnow (g,lev-1, x3, y3, x4, y4);

drawSnow (g,lev-1, x4, y4, x5, y5);

}

}

}

Here are the Snapshots for the Sample Output of this Program.

## Enter the depth of recursion: 0

See all 4 photos

Recursive Koch Snowflake’s Snapshot 1

## Enter the depth of recursion: 1

See all 4 photos

Recursive Koch Snow Flake’s Snapshot 2

## Enter the depth of recursion: 3

See all 4 photos

Recursive Koch Snow Flake’s Snapshot 3

## Enter the depth of recursion: 5

See all 4 photos

Koch Snow Flake’s Snapshot 4

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