Images from 4/28 lecture

• Semi-Regular tilings
• Demi-Regular tilings have several different vertex types which repeat in a regular way.
• tilings by non-regular quadrilaterals
• the Cairo tiling
• the regular tilings and their duals
• semi-regular tilings and their duals
• a "hinged" tiling
• a nonperiodic Penrose tiling by kites and darts.
• another nonperiodic tiling
• M.C.Escher's Sky and Water
• sketch for Escher's Reptiles which is a modified tiling by regular hexagons.
• Escher's Reptiles
• Escher's Mosaic II
• Smaller and Smaller
• Circle Limit III, which is a tiling of the hyperbolic disk.
• Platonic and Archimedean Solids:
  • tetrahedron
  • cube (hexahedron)
  • octahedron
  • dodecahedron
  • icosahedron
  • cuboctahedron
  • icosidodecahedron
  • Great Rhombicuboctahedron
  • Truncated Icosihedron