Some tiles associated with the 6th unit cubic Pisot number

Demimetasymmetric Tiles (Overview)

symmetric order 5 metasymmetric tile After taking into account symmetry considerations there are 12 candidate attractors derived from the order 5 symmetric metasymmetric tile. However 7 of these are disconnected so there are only 5 order 5 demimetasymmetric tiles.
symmetric order 7 metasymmetric tile After symmetry considerations have been taken into account there are 56 possible order 7 demimetasymmetric tiles. All are connected, so this is the achieved figure as well.

© 2015 Stewart R. Hinsley