The Sierpinski Triangle activity illustrates the fundamental principles of fractals – how a pattern can repeat again and again at different scales and how this complex shape can be formed by simple …

To construct the Sierpinski Triangle, we begin with a solid triangle, then connect the midpoints of its sides and remove the middle triangle, leaving 3 solid triangles, each with 1/4 the area of the original.

Fractals are usually too irregular to be described using usual Eu-clidean geometry. Let us now give an example of a well known fractal called the Sierpinski Triangle. We construct the triangle as follows: …

They provide an introduction to fractals, and connections to computer graphics and animation. The activities also give practice in some geometric techniques and some tie-ins to geometric theorems. …

The table on the next page can be given to students to aid them in noticing patterns related to the stage by stage construction of the Sierpinksi Triangle. Deductive justi cations should be provided for all …

This particular fractal construction is called a Sierpinski Triangle (Gasket). It, like the other fractal curves, has its own unique characteristics and subsequent behavior as the number of iterations increases.

The Sierpinski triangle is a fractal named after the Polish mathematician Waclaw Sierpiński who described it in 1915. Fractals are self-similar patterns that repeat at different scales.