Certain dilations in higher dimensions lead to rather complicated Haar wavelets. An example is given by the powers of the quincunx matrix; in this case the Haar scaling function is the "twin dragon." Using some very simple additional "dilations" in this situation, however, one can construct very simple Haar wavelets. This will be shown, and other examples will be given. Hopefully this will lead to the construction af relatively simple smoother compactly supported wavelets.