An icosahedron is a three-dimensional polyhedron with twenty triangular faces, twelve vertices, and thirty edges. It is one of the five Platonic solids and is highly symmetrical, with all faces being equilateral triangles. A regular icosahedron has equal edge lengths and angles between its faces, making it one of the most symmetrical shapes in three-dimensional space. In this short tutorial video, I am modeling and unrolling an icosahedron. I studied this beautiful solid here, here, and here before. The Icosahedron is also the base for many other solids and the famous geodesic spheres. So, it is an important polyhedron for the whole field of study.

This video series showcases various in-class exercises I conducted in a freshman-year Architectural Geometry course. Using Rhinoceros software, we explore Euclidean constructions, basic drawing and transformation commands, fundamental fractals, regular and semi-regular tessellations, patterns, and modeling techniques, including unrolling polyhedra. These short drawing exercises are also beneficial for junior-level architects, interior designers, industrial designers, and enthusiasts from other disciplines. I will be publishing exercises each week on my blog and other platforms. So, here is the exercise of modeling and unrolling an icosahedron.

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 ‘Affirmations’ by Scott Buckley (CC-BY 4.0). www.scottbuckley.com.au