Sierpinski Carpet

Generates a visual representation of the Sierpinski Carpet, a classic example of a fractal structure. This online utility allows users to explore the geometric patterns that emerge through iterative removal of central squares from an initial solid shape. By applying recursive rules—specifically dividing a square into nine smaller squares and removing the center one—the tool demonstrates how complex, self-similar patterns can be constructed across various scales. Users input parameters to control the level of detail and iteration count, observing the fractal's characteristic diminishing area while maintaining structural complexity. Students and mathematics enthusiasts utilize this resource for visualizing concepts in set theory, chaos theory, and dimensional geometry. It provides an interactive way to understand how mathematical definitions translate into intricate visual forms.