Octapletals are eight element rep-tiles, and are associated with the Perron number 4(1+i). As they have eight elements there is probably a large number of such tiles. Large numbers of tiles can be derived from the c4-symmetric cyclic octapletals. A limited number of directly derivable from the c2-symmetric linear octapletal, but these include c2-symmetric tiles, from which more tiles can be derived, and so on.

Octapletals include

  1. 1 linear rep-tile.
  2. 14 demi-linear octapletals.
  3. caterpillar rep-tile
  4. 2 cyclic octopletals and related figures (10 illustrated)
  5. ovoid tile

2016 Stewart R. Hinsley