One interesting problem is to find the area of a Sierpinski triangle. Clearly this changes with each iteration. Assuming the original square has area equal to 1, the area after the first iteration ...

He and his senior class made an eight-foot Sierpinski Triangle, a "a fractal and attractive fixed set named after the Polish mathematician Wacław Sierpiński" out of $75 worth of pennies.

image: Three iterations of simple electronic oscillators. The Sierpinski triangle is visible in the background. (Source: IFJ PAN) view more Credit: Source: IFJ PAN ...

Recall the decomposition of the triangle into 4 smaller triangles of size 1/2 the whole triangle (as when we discussed the Sierpinski triangle). Number the small triangles 1 (bottom left), 2 (bottom ...

The Sierpinski fractal is an equilateral-triangle-shaped fractal with intrinsic “self-similarity” – that is, its constituent triangles are repeated at smaller scales (or “orders”). Self-similarity in ...

Tortuosity for fluid flow in 2-dimensional pore fractal models of porous media. World Scientific. Journal Fractals Funder National Natural Science Foundation of China ...