Primes of the enneomino

[enneomino]

4 × 9
6 × 6, 6 × 15
13 × 18, 13 × 45
15 × 27
17 × 27
21 × 21
complete

smallest rectangles: 4 × 9, 6 × 6

[4 x 9 rectangle] [6 x 6 square]


smallest odd rectangle: 15 × 27

[15 x 27 rectangle]

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.