Primes of the dekomino

4 × 5
13 × 70
14 × 30, 14 × 35, 14 × 45
17 × 50
18 × 25
19 × 50
21 × 30
23 × 30
complete

smallest rectangle: 4 × 5




smallest odd rectangle: 18 × 25

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.