3 × 6
10 × 36
13 × 54
14 × 72, 14 × 81, 14 × 90, 14 × 99, 14 × 108,
14 × 117, 14 × 126, 14 × 135
16 × 18, 16 × 27
17 × 36, 17 × 54
18 × 20
19 × 117
20 × 27
23 × 45
25 × 45
27 × 41, 27 × 43, 27 × 45
33 × 33
complete
smallest rectangle: 3 × 6
smallest odd rectangle: 23 × 45
The smallest odd rectangle is given in [1, Figure 4.1].
Reference
[1] Michael Reid,
Many
L-Shaped Polyominoes Have Odd Rectangular Packings,
Annals of Combinatorics 18 (2014), pp. 341-357.
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Updated July 16, 2020.