Tiling a Scaled Didrifter with Distinct Didrifters

A polydrifter is a figure made by joining 30°-60°-90° triangles in the polyiamond grid along edges or at vertices. A didrifter is a polydrifter with 2 cells.

There are 27 didrifters that conform to the polyiamond grid. See Catalogue of Didrifters. Here I show how 25 of them can be arranged to form a didrifter scaled up by a factor of 5. For each shape I show only one tiling. They have many other tilings.

These tilings have additional properties:

With vertex adjacency, 6 or fewer colors suffice for the tiling.
No two tiles cross at a point.
In the tilings for the broken didrifters, the straddle tile has the same shape and orientation as the tile that was scaled up.

Last revised 2024-08-22.

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Col. George Sicherman [ HOME | MAIL ]