A dual polyhedron is a concept in geometry where two polyhedra are related in such a way that the vertices of one polyhedron correspond to the faces of the other, and the faces of the first polyhedron correspond to the vertices of the second. The process of creating a dual polyhedron is called duality, and it applies to many regular, semi-regular, and some irregular polyhedra. In the case of Platonic solids, the cube and octahedron are duals of each other. Moreover, the icosahedron and the dodecahedron are also duals. In this short tutorial video, I am modeling the dual of a dodecahedron, which is an icosahedron.

I have been conducting a series of in-class exercises in the freshmen year architectural geometry course. I focus on Euclidean constructions, basic drawing, and transformation commands. In addition, I study 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. So, today’s exercise is modeling the dual of the dodecahedron. I studied this topic earlier here.

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