Nature is full of patterns that have fascinated humans for centuries. From the spirals of seashells to the branching of trees, mathematical structures underlie many aspects of the natural world. Understanding these patterns not only provides insight into the beauty and complexity of nature but also reveals fundamental principles that are applied in fields ranging from biology to computer science.…

The concept of similar triangles is one of the most fundamental ideas in geometry. Two triangles are considered similar if their angles are equal and their sides are proportional. Although this idea may seem simple at first glance, it forms the basis for many practical applications: measuring building heights, creating maps, and navigation. Similar triangles allow us to obtain accurate…