Modeling and Unrolling Icosidodecahedron

by Tuğrul Yazar | December 14, 2024 11:09

An icosidodecahedron is a polyhedron[1] that is part of the family of Archimedean solids[2]. It has 32 faces, consisting of 12 regular pentagonal faces of a dodecahedron[3] and 20 regular triangular faces of an icosahedron[4]. It is highly symmetrical, with the same arrangement of faces around each vertex. In this short tutorial video, I am modeling and unrolling an icosidodecahedron. This polyhedron is very interesting and is mostly used as a basis for more sophisticated designs. Its dual polyhedron[5] is a rhombic triacontahedron, a Catalan solid[6]. I especially love this Catalan solid because of its rhombic appearance. This is why, the icosidodecahedon is a good starting point to create a model of that.

modeling and unrolling icosidodecahedron

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. So, today’s exercise is modeling and unrolling an icosidodecahedron.

The software used in this course is Rhinoceros 3d (www.rhino3d.com[7]). 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[8] and my blog at: www.designcoding.net/[9]. You can also check my Instagram page at www.instagram.com/designcodingnet/[10]. The music of this video is ‘This Too Shall Pass’ by Scott Buckley (CC-BY 4.0). www.scottbuckley.com.au[11]

Endnotes:
  1. polyhedron: https://www.designcoding.net/category/research/polyhedra/
  2. Archimedean solids: https://www.designcoding.net/tag/archimedean-solid/
  3. dodecahedron: https://www.designcoding.net/tag/dodecahedron/
  4. icosahedron: https://www.designcoding.net/tag/icosahedron/
  5. dual polyhedron: https://en.wikipedia.org/wiki/Dual_polyhedron
  6. Catalan solid: https://www.designcoding.net/tag/catalan-solid/
  7. www.rhino3d.com: http://www.rhino3d.com
  8. www.youtube.com/@designcodingnet: https://www.youtube.com/@designcodingnet
  9. www.designcoding.net/: https://www.designcoding.net/
  10. www.instagram.com/designcodingnet/: https://www.instagram.com/designcodingnet/
  11. www.scottbuckley.com.au: http://www.scottbuckley.com.au

Source URL: https://www.designcoding.net/modeling-and-unrolling-icosidodecahedron/