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A retained normal trimagic seed of order sixteen is used as the terminal factor in ordinary compound constructions. The resulting normal trimagic squares contain translated trimagic 16x16 blocks with pairwise distinct first, second and third block constants. We prove the compound and nested-block properties and give sufficient binary-mask conditions for the standalone trimagic outer squares used in the recorded project. The numerical series contains the order-sixteen seed and nine complete orders from 64 to 16384; only six designated compound outputs carry the verified order-sixteen block property. A newly regenerated order-256 example checks the displayed seed and compound rule. The construction changes within the doubling list are made explicit, including the two distinct order-1024 arrays that must not be interchanged. Text files of the complete work are attached.
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Inder Jeet Taneja (2026) studied this question.
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