Some tiles associated with the 6th unit cubic Pisot number

Order 3 Demisymmetric Tiles

These are tiles which occupy half of the area of a symmetric tile. They have IFSs as follows

T0: p → ±a3p
T1: p → +a1p - 1
T2: p → -a1p - 1


Two copies, rotated by 180° which respect to each other, tile a symmetric tile.

There are order 5 dissections of these tiles. For each tile one of the order 5 dissections arises from the application of the element grouping technique to an order 5 dissection of the symmetric tile.

There are also order 7 dissections. In the case the order 7 dissections include ones arises from application of the grouped element technique to two different order 7 dissections of the symmetric tile.

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© 2015 Stewart R. Hinsley