Using a compass and straightedge enables precise geometric constructions, allowing for the creation of complex tessellations. To begin these constructions, a single starting point is sufficient. Circles, which represent a collection of points at a specific distance from the center, and straight lines, which represent a collection of points in a particular direction, are utilized for geometric constructions. In this short tutorial, we move on with the beginner-level drawing exercises. This time, I am drawing an irregular tiling with triangles and quads. So, the key point of this exercise is to determine the vertices using compass and ruler operations. Below is the Constructing Irregular Tiling exercise video.

I have been conducting a series of in-class exercises in the freshmen year Architectural Geometry course, focusing on Euclidean constructions, basic drawing and transformation commands, introductory fractals, regular and semi-regular tessellations, patterns, modeling, and unrolling polyhedra using Rhinoceros software. Junior architects, interior designers, industrial designers, and enthusiasts from other disciplines can benefit from these concise drawing exercises. I will publish exercises every week on my blog and other platforms. Also, constructing an irregular tiling would be beneficial for constructing irregular polyhedra in future classes.

The software used in this course is Rhinoceros 3d (www.rhino3d.com). 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 and my blog at: www.designcoding.net/. You can also check my Instagram page at www.instagram.com/designcodingnet/. The music of this video is ‘Permafrost’ by Scott Buckley (CC-BY 4.0). www.scottbuckley.com.au