We study generalized regular bent functions using a representation by bent rectangles, that is, a particular class of matrices with certain rows and columns. We characterize affine transformations of bent rectangles, propose new constructions of biaffine and bilinear bent squares, study partitions of a vector space into affine planes of equal dimension, and use such partitions to build bent rectangles. We illustrate the concept of bent rectangles by examples for the Boolean case.
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