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Type of tessallation
Four 'sphinx' hexiamonds can be put together to form another sphinx.
Dissection of the sphinx into four sub-copiesDissection of the sphinx into nine sub-copies
General tilings
An outer boundary ("frame") in the shape of a sphinx can also be tiled in a non-recursive way for all orders. We define the order of a sphinx frame on a triangular lattice by the number of triangles at the "tail" end. An order-2 frame can be tiled by four sphinxes in exactly one way (as shown in the figure), an order-3 frame can be tiled by 9 sphinxes in 4 ways, etc. The number of tilings grows exponentially as with the order of the frame, where
Niţică, Viorel (2003), "Rep-tiles revisited", MASS selecta, Providence, RI: American Mathematical Society, pp. 205–217, MR2027179.
Godrèche, C. (1989), "The sphinx: a limit-periodic tiling of the plane", Journal of Physics A: Mathematical and General, 22 (24): L1163 – L1166, doi:10.1088/0305-4470/22/24/006, MR1030678
Martin, Andy (2003), "The sphinx task centre problem", in Pritchard, Chris (ed.), The Changing Shape of Geometry, MAA Spectrum, Cambridge University Press, pp. 371–378, ISBN9780521531627
Dissection of the sphinx into four sub-copies
Dissection of the sphinx into nine sub-copies
with the order 
of the frame, where 
