What is the appropriate usage of "symmetrical" and "symmetric" (using the geometrical adjectival definition of both terms)? Are they synonymous?
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Merriam-Webster lists symmetric as being a variant of symmetrical, which is the 'official' dictionary entry:
"Symmetrical" is a non-technical term, to describe any object that has symmetry; for example, a human face. "Symmetric" means "relating to symmetry", and is also used in a number of technical mathematical contexts (see Sam Lisi's comment under the question).