30 × 30 (smallest rectangle)

smallest rectangle: 30 × 30

This rectangle was first found by Marshall [1, Figure 9]. It has a unique tiling. It is unknown if this shape has any other prime rectangles.

**Reference**

[1] William Rex Marshall,
Packing
Rectangles with Congruent Polyominoes,
*Journal of Combinatorial Theory, Series A* **77** (1997),
no. 2, pp. 181-192.

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Updated August 25, 2011.