Icosahedron Model, Pedagogically Stretched

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Icosahedron Model, Pedagogically Enhanced **i is for Icosahedron (Regular or Platonic)** This innovative design empowers students to create their own Platonic icosahedron models and explore the mathematical concepts embedded within it, such as the three orthogonal golden rectangles. Once assembled, this model spins smoothly! To delve into the geometric structure of the icosahedron, one requires elastic cords like those used for name badges (with some hard end covers), 12 vertices, and 30 edges. The inner edges of the connectors are carefully trimmed for easy assembly. Assembling the icosahedron involves pressing the vertices against a hard surface or using a pair of pliers. Once assembled, it may be challenging to disassemble. If desired, users can employ the loose vertex or increase the printing resolution. In my experiments, the regular vertex works well at 0.18-0.20 mm, 10% infill, with PLA filament. ####Among the Files 1. Two versions of vertices are provided, with the regular one functioning well at 0.2mm resolution. 2. Edges of various lengths (50mm to 100mm) are included, but users should not mix them up. All regular Platonic icosahedra share similar characteristics. 3. To create an icosahedron, students need 12 vertices and 30 edges. Here's a simple math problem for kids: Each vertex has 5 edges connected to it. With 12 vertices, there are 12 * 5 edges. However, each edge is shared by two vertices, so the actual number of edges must be 60/2. ####References 1. http://www.froebelweb.org/web7000.html 2. https://en.wikipedia.org/wiki/Regular_icosahedron