expanding

this page gathers dynamic Grasshopper explorations of Alicia Boole Stott’s 1910 concept of expansion for 2D and 3D polytopes, showing how edge and face expansions can be modelled and visualised with algorithmic tools:

• expanding the edges (e1)
  • expansion of the edges of regular polygons
  • expansion of the edges of regular polygons of density 2
  • expansion of the edges of the convex regular polyhedra
• expanding the faces (e2)
  • snubbing the cube onto the cuboctahedron