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(1, 3) +

The plus sign keeps both diagonals as mirrors. A cross through the centre, with arcs closing off the corners.

Plate
Square, free edges
Mode numbers
m = 1, n = 3, plus combination
Shape
cos(1πx/a)cos(3πy/a) + cos(3πx/a)cos(1πy/a)
Wavenumber k·a
9.93 (a = 240 mm)
Frequency
422 Hz on the reference plate