Drawing Koch Pentagon

by Tuğrul Yazar | December 11, 2024 00:21

The Koch pentagon is a fractal[1] shape that starts with a regular pentagon. Here, we divide each side of the pentagon into three equal parts. Then, we replace the middle with two sides of an outward-pointing equilateral triangle. We repeat this process for every new side in each iteration, creating a self-similar pattern. Helge von Koch (1870–1924) was a Swedish mathematician known for his analysis and number theory work. He is most famous for introducing the Koch snowflake, one of the earliest described fractals, in 1904. In this exercise, you are going to be drawing the Koch Pentagon, using the basic drawing commands and geometric constructions[2]. Thus, I believe that it is a good exercise to develop both technical skills and reasoning at the same time.

In this video series, I demonstrate in-class exercises from the Architectural Geometry[3] course I teach to first-year students. Using Rhinoceros software, we explore Euclidean constructions, basic drawing and transformation commands, introductory fractals, regular and semi-regular tessellations, patterns, modeling, and unrolling polyhedra. Therefore, these short drawing exercises are beneficial for junior architects, interior designers, industrial designers, and others interested in related disciplines. I’ll be posting exercises weekly on my blog and other platforms. So, below is today’s exercise: Drawing Koch Pentagon.

The software used in this course is Rhinoceros 3d (www.rhino3d.com[4]). However, if you want to find out more and see the whole list of this video series, you can check my YouTube channel at www.youtube.com/@designcodingnet[5] and my blog at: www.designcoding.net/[6]. You can also check my Instagram page at www.instagram.com/designcodingnet/[7]. The music of this video is ‘Reawakening’ by Scott Buckley (CC-BY 4.0). www.scottbuckley.com.au[8]

Source URL: https://www.designcoding.net/drawing-koch-pentagon/

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