Koch square fractal curve

thingiverse

Human: Koch fractal snowflakes are built upon an equilateral triangle foundation, with equilateral triangles branching out from the sides. The creation of these intricate patterns can be achieved using a 3D printing model found on Thingiverse, specifically design #3486462. A variant that functions well as a tile is to employ a square base, accompanied by right-angled triangles on its sides. In contrast to the snowflake curve, the resulting anti-curve produced by mirroring the sides is straightforward and simple. When paired with its corresponding curve (of the same order), both curves seamlessly tessellate, much like their snowflake counterparts. This script generates a tile featuring parameterized outer and inner boundaries, as well as an optional base for a container. The distinction between inner and outer boundaries can be either scaled or inset by a fixed thickness. While a fixed thickness often yields more visually appealing results at small values, it may lose its effectiveness when scaling is applied to higher values. Scaling preserves the shape of the fractal, whereas insetting does not. A pair of matching containers would indeed look aesthetically pleasing. Customizer functionality appears to be experiencing some issues with displaying designs - this is a common problem that many users face. For more information on Koch fractals and their applications in tiling, please refer to my blog at kitwallace.tumblr.com/post/183403292674/another-koch-fractal-tiling.