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Icosahedron Model, Pedagogically Stretched

3D model description

####Icosahedron Model, Pedagogically Stretched

i is for Icosahedron (Regular or Platonic)

The present design allows students to make their own Platonic icosahedron models and then play around and within it for mathematical insight such as the three orthogonal golden rectangles. By the way, it spins really well once assembled!

To play with the geometric structure of the icosahedron, one needs some elastic cords such as those for name badges (with some hard end covers), 12 vertices, and 30 edges. The inner edges of the connectors are trimmed for easy assembly.

To assemble the icosahedron, do feel free to press the vertices against some hard surface or use a pair of pliers. Once assembled, it may be hard to take things apart. If so desired, please use the loose vertex or increase the printing resolution. The regular vertex works well in my experiments at 0.18-0.20 mm, 10% infill, with PLA filament.

####Among the files
1. Two versions vertices. The regular one works well at 0.2mm resolution.
2. Edges of various lengths (50mm to 100mm), which are not to be mixed up. All regular (Platonic) icosahedra are similar to each other, aren't they?
3. To make an icosahedron, one needs 12 vertices and 30 edges. Here is a simple question to entertain the kids in counting: Each vertex has 5 edges connected to it. There are 12 vertices. So there are 12 * 5 edges. But each edge is shared by two vertices. So there must be 60/2 edges.

####References

  1. http://www.froebelweb.org/web7000.html
  2. https://en.wikipedia.org/wiki/Regular_icosahedron
  • 3D file format: STL

Tags

Creator

STEAM educator, learning from and working with K-12 STEAM teachers to explore new ideas of teaching and engagement. I firmly believe ART is at the core of STEM learning or all human learning! I owe my ideas and designs to the hundreds of K-12 children and teachers and university professors I have had the pleasure of working with, in multiple disciplines-- math, science,engineering language arts, social studies, early childhood education and more! All mistakes, of course, are mine! There is no warranty or liability whatsoever implied or explicit behind the designs or ideas. They are all posted for their potential educational values.

When working with children, please strictly observe all safety and health procedures! Please refer to the NSTA safety guides: http://www.nsta.org/safety/.

LGBU Contact: LGBU@SIU.EDU

License

CC BY



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2 comments

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That's beautiful! Thanks for sharing.