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'Crescent' motif dome - modulus four
This dome is the 'crescent' motif expanded to four layers. By now the reason for alternating the 'crescent' direction is clear. The sinuous line of alternation is quite pleasing. If the 'crescents' all go the same direction the result is a serrated discontinuous series of curves connected by jagged points. It is all a matter of taste.
The 'crescent' motif method of dome expansion is explained HERE.