Wednesday, March 11, 2015

(x, why?) Mini: Fun With Tetrominoes, 2

(Click on the comic if you can't see the full image.)
(C)Copyright 2015, C. Burke.

Maybe they should ask J-Z.

Fun fact: the J and Z subway lines travel together from lower Manhattan out over the Williamsburg Bridge through northern Brooklyn and into Queens. They don't travel anywhere near the Nets play basketball.

For more on Tetrominoes, click here.


Bill in Boston said...

Related in 3-D are Piet Hein's Soma cube 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.)

(x, why?) said...

The amusing thing (I amuse easily) is that there are still seven types.

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.

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.

Thanks for the links.