Multiple Replicas of Hexaboloes
The house is a perfect piece to make multiple replicas since there are
no acute angles. All possibilities with three different-sized replicas are shown.
Four copies are possible, too. It might be nice to find the maximum number of replicas for this shape.
Beside the house there are only four symmetric pieces with multiple replicas. The other symmetric pieces
have an even number of triangles under checkerboard coloring or an even number of parallel
slopes and therefore the construction of 1-5-9 replicas fails.
(see all hexaboloes)
But perhaps you want to replicate some other pieces like the steamer or the sailboat.