Some tiles associated with the 6th unit cubic Pisot number

Order 7 Demisymmetric Tiles (4c²+c³+2c⁴)

III. long diagonal c² and c⁴ elements merged

There are 8 tiles in with the long diagonal c¹ elements are colocated and the c⁴ elements are also colocated.

One of the tiles is "compact" (without voids); the remaining seven have voids, and when the weight function is plotted show a ribbon (in green) where only have the corresponding area of the plane is covered by the tile.

Two copies can (obviously) be put together to tile a symmetric tile. The images below show one copy in red, and a copy rotated 180° in blue; the overlapping areas (the ribbons) are shown in magenta.

© 2015 Stewart R. Hinsley