median
don steward
mathematics teaching 10 ~ 16

Tuesday 29 January 2013

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)?

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