2 × 7 (smallest rectangle)

9 × 63

11 × 21 (smallest odd rectangle)

complete

smallest rectangle: 2 × 7

smallest odd rectangle: 11 × 21

The smallest odd rectangle is given in [1, Figure 13] and [2, Figure 11].
All three prime rectangles were also found independently by
Andrew Clarke.

Also see
Torsten Sillke's page for this heptomino.

**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.