Some tiles associated with the 6th unit cubic Pisot number

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

VI. short diagonal c2 (alone) merged

Of the 8 figures with the short diagonal c2 elements alone colocated 1 is disconnected, leaving 7 novel tiles.

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For 6 of the tiles when the weight function is plotted show a ribbon (in green) where only half the corresponding area of the plane is covered by the tile. The seventh tile has a discontinuous green fringe, rather than a ribbon running through the tile.

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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.

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© 2015 Stewart R. Hinsley