Primes of the dekomino

2 × 10
12 × 25
13 × 40, 13 × 50, 13 × 60, 13 × 70
14 × 35
15 × 28, 15 × 32, 15 × 36, 15 × 44, 15 × 46, 15 × 48, 15 × 52, 15 × 54, 15 × 58, 15 × 62, 15 × 66
16 × 25
18 × 35
20 × 23
21 × 30
22 × 35
25 × 26, 25 × 34
complete

smallest rectangle: 2 × 10



smallest odd rectangle: 14 × 35

The smallest odd rectangle was given in [1, Figure 10] as part of an infinite family of odd polyominoes.

Reference

[1] 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 May 25, 2005.