Primes of the dekomino

4 × 5
11 × 20, 11 × 50
13 × 30
14 × 25, 14 × 30, 14 × 35
15 × 22
complete

smallest rectangle: 4 × 5



smallest odd rectangle: 15 × 22

The smallest odd rectangle was given in [1, Figure 13] and [2, Figure 11].

References

[1] William Rex Marshall, Packing Rectangles with Congruent Polyominoes, Journal of Combinatorial Theory, Series A 77 (1997), no. 2, pp. 181-192.
[2] Michael Reid, Tiling Rectangles and Half Strips with Congruent Polyominoes, Journal of Combinatorial Theory, Series A 80 (1997), no. 1, pp. 106-123.

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Updated August 25, 2011.