Schlegel diagrams

Victor Schlegel (1843 ~ 1905)

if you make one of the faces of a polyhedra 'see through' and peer in
what you see, distorted and flattened, is a 2-D representation of the solid

alternatively, you could view it as a projection:

what are these (common) 3D shapes?

which solid goes with which Schlegel diagram?
















for the 2-D (flat) representations, what is the relationship between the numbers of :

• faces (enclosed spaces)
• edges (lines)
• vertices (nodes)?