Block-Wise Construction of Tetramagic Squares of Orders 48(2304), 52(2704), 56(3136), 60(3600) and 64(4096)

The ordinary compound construction is applied to five retained normal tetramagic seeds of orders 48, 52, 56, 60 and 64. The resulting normal tetramagic squares have orders 2304, 2704, 3136, 3600 and 4096, respectively. Each output is partitioned into translated tetramagic blocks of the corresponding seed order. We give a complete proof covering normality, all four power conditions on rows, columns and both principal diagonals, and the pairwise distinction of the block constants for each power. Explicit formulas describe the complete constants and the block constants. Mathematical consequences of iteration are distinguished from the finite calculations documented in the retained record. The contribution is a specialization and computational documentation of an established product construction. Text files of complete work are attached.