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Why is colour ignored when determining the symmetry of a pattern?

April 26, 2017colour determining Ignored Pattern Symmetry

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Why is colour ignored when determining the symmetry of a pattern?

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Consider the pattern click on this to see the pattern. If the colour was not ignored the pattern would be a repetition of the merging of one yellow, red and green polygons. Hence the rotation of order 6 would be lost. So a key aspect of the structure of patterns would be lost.