Irregular shapes are all around. Most shapes are irregular.
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Irregular 3-dimensional shapes.
Regular shapes are both equilateral and equiangular. Irregular shapes may or may not be equilateral and equiangular.
The best way to find the volume of an irregular shape is to split it up into shapes that you know, find the volumes of those individual pieces, and then add up all of the volumes of the split pieces to get your total volume of the irregular shape.
There is no standard formula. It is necessary to partition the irregular hexagon into more convenient shapes such as triangles and quadrilaterals, find their areas and sum the results.
An irregular tessellation is a tesselation made of irregular shapes. Escher is famous for drawing these with animals in them.