Mathematics recognises many sorts of symmetry, not all of them amenable to these sorts of geometrical analogy.

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Birch's task of raising the money requires a geometrical act of squaring several circles as he does the math.

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The process involves embellishing a spider web pattern with geometrical motifs and is transmitted today by older women who offer year-long courses.

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In order to tap into this unrealised potential, the IBM team came up with software that works by using geometrical patterns to represent words.

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When switched off, the speakers and subwoofer are flush with the wall, and all you notice is the subtle geometrical composition by designer Anders Hermansen.

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And that geometrical prediction was confirmed directly by the Sloan survey, using the known distances of 500m light years to the density peak and 13 billion light years to the region where the microwave background originates as reference points to look for geometrical distortion, in the way that a more traditional land survey might use triangulation points.

ECONOMIST: Astronomy