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Mosaic in mathematics
Because the sum of the internal angles of a regular N-polygon is (n-2) * 180, each internal angle is 180(n-2)/n degrees. But if we want to sum up completely and accurately, it means that the sum of several internal angles is 360 degrees (for example, six regular triangles (with internal angles of 60 degrees) can be completely spliced (6*60=360), and four squares (with internal angles of 90 degrees) can be spliced (4*90=360), that is, m *180 (n)

solve

When n=3, m = 6;;

When n=4, m = 4;;

When n=5, m has no integer solution;

M = 3; when n=6;

When n >; At 6 o'clock, there is no complete splicing (because if there is, m=2, which means that the inner angle is 180 degrees, which is obviously not true).