Modeling Stellated Icosahedron

by Tuğrul Yazar | December 14, 2024 11:07

Stellation[1] of polyhedra refers to the process of extending the faces (or edges) of a polyhedron outward to form new, more complex shapes. These new shapes, called stellations, are created by adding extra vertices, edges, and faces that “project” outward from the original polyhedron’s structure. You can create an infinite number of new polyhedral forms, depending on how you extend the faces and edges. In this short tutorial video, I am modeling a stellated icosahedron[2]. I use basic modeling commands of Rhinoceros[3]. Therefore, these exercises are for beginners and students. In this video, I utilized a 3D Euclidean construction using spherical intersections. I studied stellations earlier here[4] using Grasshopper[5].

modeling stellated icosahedron

In this video series, I present a variety of in-class exercises from my first-year architectural geometry course. Using Rhinoceros software, we delve into Euclidean constructions, basic drawing, and transformation commands. Moreover, I studied introductory fractals, regular and semi-regular tessellations, patterns, modeling, and unrolling polyhedra. These concise drawing exercises are beneficial for junior architects, interior designers, industrial designers, and enthusiasts from other disciplines. I’ll be sharing exercises each week on my blog and other platforms. So, today’s exercise is modeling stellated icosahedron.

The software used in this course is Rhinoceros 3d (www.rhino3d.com[6]). 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[7] and my blog at: www.designcoding.net/[8]. You can also check my Instagram page at www.instagram.com/designcodingnet/[9]. The music of this video is ‘Midsommar’ by Scott Buckley (CC-BY 4.0). www.scottbuckley.com.au[10]

Endnotes:
  1. Stellation: https://www.designcoding.net/tag/stellation/
  2. icosahedron: https://www.designcoding.net/tag/icosahedron/
  3. Rhinoceros: https://www.designcoding.net/category/tools-and-languages/rhino/
  4. here: https://www.designcoding.net/star-polyhedra/
  5. Grasshopper: https://www.designcoding.net/category/tools-and-languages/grasshopper/
  6. www.rhino3d.com: http://www.rhino3d.com
  7. www.youtube.com/@designcodingnet: https://www.youtube.com/@designcodingnet
  8. www.designcoding.net/: https://www.designcoding.net/
  9. www.instagram.com/designcodingnet/: https://www.instagram.com/designcodingnet/
  10. www.scottbuckley.com.au: http://www.scottbuckley.com.au

Source URL: https://www.designcoding.net/modeling-stellated-icosahedron/