The design is based on Buckminsterfullerene - aka a buckyball - which is a geodesic sixty carbon molecule. (I knew that... totally kidding! Chemistry exams gave me hives.)
The museum board pentagons and triangles are laser cut and held together with stainless steel screws. Museum board is a perfect material to use for a spherical design because the paper fibers allow it to curve easily in one direction, but offer a good bit of resistance when pushed the opposite way... thus the lampshade will hold its shape quite naturally.

I bet you'd already guessed it would cast cool shadows when lit!
Visit Jake's Etsy shop: Red Line Arch.