# Draw a skewed Sierpinski gasket with any number of corners in C#

The usual way to draw a Sierpinski gasket (as a strange attractor, anyway) is to start with 3 corners. To generate a point, randomly pick a corner and move halfway between the current position and the selected corner. See Draw a Sierpinski gasket in C# for more details.

This example lets you pick corners at run time. Left-click on the form to pick at least 2 points. Then right-click to start the program running. The program uses the following code to draw the modified gasket.

```// Draw 1,000 points.
private void tmrDraw_Tick(object sender, EventArgs e)
{
// Draw points.
Random rand = new Random();
using (Graphics gr = this.CreateGraphics())
{
// Draw the corners.
foreach (PointF pt in Corners)
{
}

// Draw 1000 points.
for (int i = 1; i <= 1000; i++)
{
int j = rand.Next(0, Corners.Count);
LastPoint = new Point(
(LastPoint.X + Corners[j].X) / 2,
(LastPoint.Y + Corners[j].Y) / 2);
gr.DrawLine(Pens.Blue, LastPoint.X, LastPoint.Y,
LastPoint.X + 1, LastPoint.Y + 1);
}
}
}```

For some interesting results, try:

• Use four corners that make a rectangle.
• Use a scalene triangle.
• Use a triangle and add 4 or 5 “corners” in the same spot near the middle.
• Try other arrangements with duplicate corners.

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