Task: Brownian tree
Java: import java.awt.Graphics;
import java.awt.image.BufferedImage;
import java.util.*;
import javax.swing.JFrame;

public class BrownianTree extends JFrame implements Runnable {

    BufferedImage I;
    private List<Particle> particles;
    static Random rand = new Random();

    public BrownianTree() {
        super("Brownian Tree");
        setBounds(100, 100, 400, 300);
        setDefaultCloseOperation(EXIT_ON_CLOSE);
        I = new BufferedImage(getWidth(), getHeight(), BufferedImage.TYPE_INT_RGB);
        I.setRGB(I.getWidth() / 2, I.getHeight() / 2, 0xff00);
        particles = new LinkedList<Particle>();
    }

    @Override
    public void paint(Graphics g) {
        g.drawImage(I, 0, 0, this);
    }

    public void run() {
        for (int i = 0; i < 20000; i++) {
            particles.add(new Particle());
        }
        while (!particles.isEmpty()) {
            for (Iterator<Particle> it = particles.iterator(); it.hasNext();) {
                if (it.next().move()) {
                    it.remove();
                }
            }
            repaint();
        }
    }

    public static void main(String[] args) {
        BrownianTree b = new BrownianTree();
        b.setVisible(true);
        new Thread(b).start();
    }

    private class Particle {

        private int x, y;

        private Particle() {
            x = rand.nextInt(I.getWidth());
            y = rand.nextInt(I.getHeight());
        }

        
        private boolean move() {
            int dx = rand.nextInt(3) - 1;
            int dy = rand.nextInt(3) - 1;
            if ((x + dx < 0) || (y + dy < 0)
                    || (y + dy >= I.getHeight()) || (x + dx >= I.getWidth())) {
                return true;
            }
            x += dx;
            y += dy;
            if ((I.getRGB(x, y) & 0xff00) == 0xff00) {
                I.setRGB(x - dx, y - dy, 0xff00);
                return true;
            }
            return false;
        }
    }
}

VB: Imports System.Drawing.Imaging

Public Class Form1

  ReadOnly iCanvasColor As Integer = Color.Black.ToArgb
  ReadOnly iSeedColor As Integer = Color.White.ToArgb

  Dim iCanvasWidth As Integer = 0
  Dim iCanvasHeight As Integer = 0

  Dim iPixels() As Integer = Nothing

  Private Sub BrownianTree()

    Dim oCanvas As Bitmap = Nothing
    Dim oRandom As New Random(Now.Millisecond)
    Dim oXY As Point = Nothing
    Dim iParticleCount As Integer = 0

    iCanvasWidth = ClientSize.Width
    iCanvasHeight = ClientSize.Height

    oCanvas = New Bitmap(iCanvasWidth, iCanvasHeight, Imaging.PixelFormat.Format24bppRgb)

    Graphics.FromImage(oCanvas).Clear(Color.FromArgb(iCanvasColor))

    iPixels = GetData(oCanvas)

    
    iParticleCount = CInt(iPixels.Length * 0.1)

    
    iPixels(oRandom.Next(iPixels.Length)) = iSeedColor

    
    For i As Integer = 0 To iParticleCount
      Do
        
        oXY = New Point(oRandom.Next(oCanvas.Width), oRandom.Next(oCanvas.Height))
      Loop While iPixels(oXY.Y * oCanvas.Width + oXY.X) = iSeedColor

      
      While Not CheckAdjacency(oXY)
        oXY.X += oRandom.Next(-1, 2)
        oXY.Y += oRandom.Next(-1, 2)

        
        If oXY.X < 0 Then oXY.X = 0 Else If oXY.X >= oCanvas.Width Then oXY.X = oCanvas.Width - 1
        If oXY.Y < 0 Then oXY.Y = 0 Else If oXY.Y >= oCanvas.Height Then oXY.Y = oCanvas.Height - 1
      End While

      iPixels(oXY.Y * oCanvas.Width + oXY.X) = iSeedColor

      
      
      
      
      
      
    Next

    oCanvas.Save("BrownianTree.bmp")
    BackgroundImage = oCanvas

  End Sub

  
  Private Function CheckAdjacency(ByVal XY As Point) As Boolean

    Dim n As Integer = 0

    For y As Integer = -1 To 1
      
      If (XY.Y + y < 0) OrElse (XY.Y + y >= iCanvasHeight) Then Continue For

      For x As Integer = -1 To 1
        
        If (XY.X + x < 0) OrElse (XY.X + x >= iCanvasWidth) Then Continue For

        
        If y <> 0 AndAlso x <> 0 Then
          n = (XY.Y + y) * iCanvasWidth + (XY.X + x)
          If iPixels(n) = iSeedColor Then Return True
        End If
      Next
    Next

    Return False

  End Function

  Private Function GetData(ByVal Map As Bitmap) As Integer()

    Dim oBMPData As BitmapData = Nothing
    Dim oData() As Integer = Nothing

    oBMPData = Map.LockBits(New Rectangle(0, 0, Map.Width, Map.Height), ImageLockMode.ReadOnly, PixelFormat.Format32bppArgb)

    Array.Resize(oData, Map.Width * Map.Height)

    Runtime.InteropServices.Marshal.Copy(oBMPData.Scan0, oData, 0, oData.Length)

    Map.UnlockBits(oBMPData)

    Return oData

  End Function

  Private Sub SetData(ByVal Map As Bitmap, ByVal Data As Integer())

    Dim oBMPData As BitmapData = Nothing

    oBMPData = Map.LockBits(New Rectangle(0, 0, Map.Width, Map.Height), ImageLockMode.WriteOnly, PixelFormat.Format32bppArgb)

    Runtime.InteropServices.Marshal.Copy(Data, 0, oBMPData.Scan0, Data.Length)

    Map.UnlockBits(oBMPData)

  End Sub

  Private Sub Form1_Load(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles MyBase.Load
    DoubleBuffered = True
    BackgroundImageLayout = ImageLayout.Center
    Show()
    Activate()
    Application.DoEvents()
    BrownianTree()
  End Sub
End Class