Primes of the L tromino

[L tromino]

2 × 3 (smallest rectangle)
5 × 9 (smallest odd rectangle)
complete

smallest rectangle: 2 × 3

[2 x 3 rectangle]


smallest odd rectangle: 5 × 9

[5 x 9 rectangle]

Klarner [1, Figure 8] first gave the 5 × 9 rectangle.

Reference

[1] David A. Klarner, Packing a Rectangle with Congruent N-ominoes, Journal of Combinatorial Theory 7 (1969) pp. 107-115.

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Updated August 23, 2011.