tag:blogger.com,1999:blog-28172905.post7035932239399034104..comments2024-03-03T17:53:46.947-05:00Comments on (x, why?): (x, why?) Mini: Fun With Tetrominoes, 2(x, why?)http://www.blogger.com/profile/17499160002806879025noreply@blogger.comBlogger2125tag:blogger.com,1999:blog-28172905.post-39690509657983674672015-03-11T12:54:03.373-04:002015-03-11T12:54:03.373-04:00The amusing thing (I amuse easily) is that there a...The amusing thing (I amuse easily) is that there are still seven types.<br /><br />First, we lose the I, but it's four wide and the max is three. Then, because flipping over is allowed, we lose the distinctions between J and L and between S and Z. <br /><br />However, the third dimension gives a second layer, as it were, to build upon. These are labeled A, B, V and P -- though I'll admit that I don't readily see a reason for those notations. Interestingly, A and B appear to be the 3-D analogues to J and L in 2-D.<br /><br />Thanks for the links.(x, why?)https://www.blogger.com/profile/17499160002806879025noreply@blogger.comtag:blogger.com,1999:blog-28172905.post-14710992955065728972015-03-11T11:57:48.446-04:002015-03-11T11:57:48.446-04:00Related in 3-D are Piet Hein's Soma cube piece...Related in 3-D are <a href="https://en.wikipedia.org/wiki/Piet_Hein_%28scientist%29" rel="nofollow">Piet Hein</a>'s <a href="https://en.wikipedia.org/wiki/Soma_cube" rel="nofollow">Soma cube</a> pieces, two of which are chiral reflections of each other. (And one of which has only 3 sub-cubes, since 27 isn't divisible by 4.) Bill in Bostonhttp://m.twitter.com/n1vuxnoreply@blogger.com