Hi there, here are some icosahedron-related paper patterns that I made. These patterns only involve gluing, so they are scalable without having to readjust. If you open the SVG each pattern has its own layer, and each unit is named by how many copies you need. I made these one or two years ago and they are mostly gone, so I can’t take new individual pictures. I’m missing a picture of the great icosahedron, but you can google it. The pictures contain shapes that I shared in my other posts.
For laser, you will need to modify the pattern a little so the pieces don’t fly away during cutting. I made these for cricut. You will need to make the needed copies and arrange them yourself.
Some projects are significantly harder than others
Other than the great icosidodecahedron (the two-colored one in the first picture), everything else is a stellation of the icosahedron. For a complete list of these stellations, and what they look like, check https://www.artstation.com/artwork/mqJlZZ
OK, one more. I didn’t list this one with the others because it has slits, which means whenever you scale, you need to readjust the slit. The current size works 65lb light cardstock.
Hopefully, this is the last one. I did draw the dodecahedron and its stellations, but the only one I enjoyed gluing was the great dodecahedron. I don’t have a picture of my own or a copyright-free one from online, but you can Google it. The net itself is beautiful! Once again, my creativity is in the tab placement
I have a similar math assignment for my Geometry students. (though infinitely simpler) They have to choose whether to use an octahedron or an icosahedron for the core, and then cover all of the sides with tetrahedra. At the end, they not only get an A on the assignment, they also get a new Christmas Ornament for their trees.
I am glad we did not have this in my geometry class as we would have had to use scissors. I just had to be the first in the class to draw an equilateral triangle of one square unit using only a compass and a straight edge. (try it!)
