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Posers and Puzzles Forum

Building blocks

Original post by Subscriber talzamir, 28 Jun '12 10:11
  1. Art, not a Toil
    60.13N / 25.01E
    Joined : 19 Sep '11
    Moves : 39741
    Thinking of small building blocks, identical to one another, such as lego blocks, with an m x n grid of 'male' attaching points at the top and a 'female' attaching surface at the bottom, so if you have 1 x 1 blocks to combine, there is exactly one way to do it, as a tower, since they don't attach to the sides, just top to bottom. With two identical 2 x 2 blocks there are three ways, using all four connection pins, a row of two, or just one.

    How many different ways are there to combine two 2 x 3 blocks?

    How many different ways are there to combine three 2 x 2 blocks?
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