Folding a dodecahedron into a cube has been one of my favorite projects to do with the boys. Our first few projects about a “dodecahedron folding into a cube” are here:
A neat post from Simon Gregg showing that a dodecahedron can fold into a cube
Can you believe that a dodecahderon folds into a cube?
(see the link above for the source of the amazing GIF on the right of the screen!)
Some 3D Geometry for Pamela Rawson
Today I had the boys work through the whole project on their own – just stopping every now and then to check in and hear about the progress.
Here are their initial thoughts after building the dodecahedron:
In the second part of the project the boys constructed one of the cubes that can be inscribed in a dodecahedron:
For the 3rd part of the project they “folded” the dodecahedron into a cube
Finally, the boys connected up the zome balls inside the cube and found an icosahedron.