The 59 Stellations of the Icosahedron (VRML)

The symbols used for the stellations are the same as those used by Coxeter, Du Val, Flather,and Petrie in The Fifty-Nine Icosahedra . Enantiomorphous regions, dextro and laevo , are distinguished by means of Roman and italic type, e.g., 2 and 2 , regions which cannot be separated in this manner are denoted by numbers in clarendon type.


  • 0
  • 1
  • 2
  • 3 4
  • 5 6 7
  • 8 9 10
  • 11 12
  • 13
  • 3' 5
  • 5' 6' 9 10
  • 10' 12
  • 3' 6' 9 10
  • 3' 6' 9 12
  • 5' 6' 9 12
  • 4' 6 7
  • 7' 8
  • 8' 9' 11
  • 4' 6 8
  • 4' 6 9' 11
  • 7' 9' 11
  • 4 5
  • 7 9 10
  • 8 9 12
  • 4 6' 9 10
  • 4 6' 9 12
  • 7 9 12
  • 3 6 7
  • 5 6 8
  • 10 11
  • 3 6 8
  • 3 6 9' 11
  • 5 6 9' 11
  • 5' 6' 9 10
  • 3' 5 6' 9 10
  • 4 5 6' 9 10
  • 5' 6' 9 10' 12
  • 3' 5 6' 9 10' 12
  • 4 5 6' 9 10 ' 12
  • 5' 6' 8' 9' 10 11
  • 3' 5 6' 8' 9' 10 11
  • 4 5 6' 8' 9' 10 11
  • 5' 6' 7' 9' 10 11
  • 3' 5 6' 7' 9' 10 11
  • 4 5 6' 7' 9' 10 11
  • 4' 5' 6 7 9 10
  • 3 5' 6 7 9 10
  • 5 6 7 9 10
  • 4' 5' 6 7 9 10' 12
  • 3 5' 6 7 9 10' 12
  • 5 6 7 9 10' 12
  • 4' 5' 6 8 9 10
  • 3 5' 6 8 9 10
  • 5 6 8 9 10
  • 4' 5' 6 8 9 10' 12
  • 3 5' 6 8 9 10' 12
  • 5 6 8 9 10' 12
  • 4' 5' 6 9' 10 11
  • 3 5' 6 9' 10 11
  • 5 6 9' 10 11
    Stellation Process