# Irregular bimorphic tilings (1)

It is easy to make an infinite number of irregular bimorphic tilings. Just take a monomorphic tiling and cut its component into two. The most interesting tilings occur when the cut is related to the original shape in some way. For example, the classic 'kite' and 'dart' are made by cutting a 72° rhombus along a symmetrical 'V' line, also at 72° to the edge. Many variations are possible along the following lines.

More interesting tilings are created if you forbid the combination of kite and dart which makes a rhombus. The following collection illustrates the superkite, the angel, the paper boat and the paper hat; and below the bird, the crab, the crown and one assymmetrical one.

In addition to these, there are (I think) 16 ways of placing five 72° angles round a point. Here are four of the more interesting: the decagon, the star, the priest and the folding chair (!)