Fractals, intricate and infinitely complex geometric shapes, represent a fascinating branch of mathematics and art. These self-repeating patterns, created through mathematical algorithms, exist in the realms of both theoretical mathematics and digital art. The beauty of fractals lies in their ability to produce intricate patterns at various scales, revealing hidden details as one zooms in or out. Fractals have applications in computer graphics, generating realistic landscapes and textures. The exploration of fractals transcends the boundaries between art and science, captivating the imagination of mathematicians, artists, and enthusiasts alike.