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The patterns on coinage are made by squeezing the coins metal blank between the faces of two hard presses into which the negative of the coins faces have been etched (called dies).
Recognizing patterns is one of the primary functions of neural structures in the human brain. Patterns related to mathematics are natural features of the abstract system being examined; perception of these patterns depends on the degree to which the observer can resolve the related abstraction in his/her internal model of the system. So: the answer is us, any of us, given the effort to develop the internal neural model necessary to unambiguously resolve the pattern.
Multiplication patterns are regular sequences or trends that emerge when multiplying numbers, often involving specific digits or structures. For example, when multiplying by 5, the results alternate between ending in 0 and 5. Another pattern is the multiplication table of 9, where the digits of the products add up to 9 (e.g., 9, 18, 27). Recognizing these patterns can simplify calculations and enhance number sense.
Faces