# Sierpinski Triangle Worksheet

A Sierpinski triangle is an extremely common worksheet that you will find with many different students in any school or college. This worksheet is probably the most commonly used pattern for every class. It also looks very impressive in any style of art and composition. However, it can also be tricky to produce, as it involves counting and directions.

The Sierpinski triangle itself is a series of straight lines drawn within a square, which in turn is divided into four equal rectangles. The first two of these are the left and right sides of the square, while the last is centered in the middle. There are a few different ways to construct a Sierpinski triangle, but the most popular one is by starting at the top and moving clockwise around the outside of the square.

Each line you draw on your first turn must be the same length on the second turn, otherwise, you will have an ugly little hole at the bottom of the triangle. Also, as you make your next turn, you should extend one line from the center of the top of the Sierpinski triangle outward so that it passes through the same point that you started the first line at. As you move your pencil around the outside of the triangle, this last line will help you work your way around to the bottom.

To make a Sierpinski triangle from one square, first, you will need to place each square horizontally within the square. Then, fold one of the squares in half from the right. The square you will use as the top portion of the triangle is the one you should place in the middle.

To create a triangle, you will now draw one of the squares from the outside of the square toward the middle. You will repeat this action for the other three squares. Continue with this process until all the squares are in place and they all have three lines running through them.

From each square, you will now trace a line from the bottom of the square to the middle of the square and continue this process around the square until you reach the bottom. At this point, you will have to cross all the lines from the top portion of the triangle to the bottom one.