Special cases of rectangles, where the root of the ratio of sides is a rational number, so that there are rotational angles where the vertices line up along the axes again.
The square series: 1x1, 2x1, 3x1, 4x1, 5x1, 3x2, 4x3
The A-paper (root 2) series: 1x1, 2x1, 3x1
The triad (root 3) series: 1x1, 2x1, 2x1 (lengthwise), 4x1
Also the root-fivers: √3 by √2 and 2 by 1
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