Modular Times Table on a Square

① This example visualizes the modular multiplication table on a square boundary, drawing line segments between points corresponding to multiplication results modulo n, creating dynamic geometric patterns. ② Core mathematical concepts include modular arithmetic (remainders), multiplication tables, congruence relations in number theory, and the use of geometric transformations (rotation, sequence) for visualization. ③ Construction details: Using GeoGebra commands Point, Polygon, Sequence, Rotate, and Join, it defines a square poly1, parameters n and m, generates point lists list1 through list6 via sequences, and connects points with lines; sliders control n and m for dynamic exploration. ④ Suitable for high school to early university students, this example bridges number theory and geometry, and serves as a hands-on tool for mathematical experiments or computational visualization lessons.