Tutorial: Icosahedral geodesic polyhedron - 1

Geodesic polyhedron - Wikipedia

 

following the post of @PS ​​​​​​​about the how to make a dome, I made my study based on wikipedia documentation. in the article, you learn the geodesic polyhedron are classified into 3 classes by Magnus Wenninger. In this study, I will focus on icosahedral geodesic polyhedron of type 1, which is the most common, I believe.

3 tutorial videos + variation

  1. modeling a icosahedron
  2. modeling its geodesic polyhedron
  3. modeling the dual of geodesic polyhedron (Goldberg polyhedron)

3dxml is at the end of the post

1. modeling a icosahedron -> use of "Convex Hull"

2. modeling its geodesic polyhedron

Geodesic polyhedra are constructed by subdividing faces of simpler polyhedra, and then projecting the new vertices onto the surface of a sphere

3. modeling the dual of geodesic polyhedron -> using Adjacent cells

For fun, I made a try of the function "inscribed circle" on the geodesic polyhedron

Hoping for some feedbacks. many different ways to make a geode.

Coming soon -> Class2 and then Class3 + tribute to Magnus Wenninger

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How to make hexagon bigger

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