For a long time only the bimagic square of Pan Fengchu was known (except trimagic squares, which are of course bimagic too). In 2018 Walter Trump and Holger Danielsson created more Than 11 000 additional different bimagic squares. They took some of the known trimagic squares and exchanged 3, 4 or 6 numbers in some cells of two rows or columns. This means that a lot of these squares are not trimagic anymore, but still bimagic.

From all squares you can create other bimagic squares by applying row-column-transformations.