Koch Snowflake Vase

sketchfab

The Koch Snowflake is a geometric shape that exhibits self-similarity and fractal properties. It's created by iteratively adding triangles to an equilateral triangle, each new triangle being made up of smaller triangles with 4 times the area of the previous one. To create the Koch Snowflake, you start with an equilateral triangle. In the first iteration, you add a small equilateral triangle at the midpoint of each side of the original triangle. Then, in the second iteration, you repeat this process for each new triangle formed by adding the smaller triangles in the first step. This continues indefinitely. As the iterations progress, the perimeter of the snowflake increases exponentially with each new addition. The shape remains a continuous curve throughout its creation due to the way it is constructed from connected lines and angles. Each iteration adds more complexity while maintaining an overall symmetry that can be seen visually by rotating or reflecting parts of the figure. By continuing this process, you end up with a highly intricate pattern that exhibits fractal properties. The Koch Snowflake has numerous real-world applications in fields like architecture, engineering, and physics, as well as its significance in mathematics education for teaching concepts such as scaling, self-similarity, and geometric transformations.