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Make Your Own Platonic Icosahedron, Snap

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3D model description

Make Your Own Icosahedron

Vertex connectors and edges that can be snapped together to make a Platonic icosahedron.

For an icosahedron, one need 12(V) vertex connectors and 30 (E) edges. Once assembled, the structure has 20 (F) equilateral triangle faces : V + F – E = 2.

####Among the Files

Vertex connector at two level of tolerance (regular and loose)
Edge bars of various lengths.


Please print one connector and one edge first to try out the tolerance. A resolution of 0.2mm works well for me. You can play with the resolution to adjust the tightness between the vertex connector and the edge. The loose version might be too loose, in which case some school glue could be used to keep the pieces together.

All Platonic icosahedra are similar to each other. So if you want a large one, you could just use longer edges.

Also, please do not mix icosahedral edges with those for the dodecahedron, because they have different dihedral angles.

Have fun!

  • 3D file format: STL



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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.

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