Large cube — PVM unit
This cube is made from my Pyramid Vertex Module (PVM) (20 units: 8 vertex units and 12 connector units).
Superficially, this model resembles Miyuki Kawamura’s cube from the Polyhedron Construction Kit a lot, but it was designed independently and both the vertex and the edge units differ. I believe my design to be superior: the triangular units are more paper-effective than Kawamura’s and the rectangular edge units (connectors) are thinner which makes the interior of the model more spacious and gives it a lighter appearance.
PVM units come in several variants and can be connected to form many models other than this cube, including another kind of cube (which is why I had to call this wire-frame variant the “large cube” to tell them apart). You can find examples and folding instructions on my web page.