The present participle of 'geometrize,' meaning the act of making something geometric or applying geometric principles to it (American spelling).
From geometrize with the -ing suffix added. This is the standard American English spelling, while 'geometrising' with an 's' is the British variant, both describing the ongoing action of applying geometry.
Renaissance architects were effectively 'geometrizing' nature by designing gardens with perfect symmetry, vanishing-point perspective, and mathematical proportions—they weren't imitating nature but rather imposing human mathematical understanding onto it.
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