Monday 23 July 2018

Minutiae: a Beautiful Transposition

    

I got this transposition from a game against Home (ほめ), at the time ranked #18 in the world. We start with this Elvis T-spin in 6:



Then BAM. We're at the Izzy-dubdub:

        

        

On the top, the path to the dubdub from the Elvis. On the bottom, the traditional way via the Izzy with an upright-J and a facedown-J.

We see the same position occurring just by using an O instead of a J. In fact, we get to the exact same position as the Izzy facedown-J if we just place the first O on top of the T:

    

The Elvis route, however, can allow us to choose which O to place first, softening the constraints a bit. Nice!

From here, of course, we have a number of ways to all-clear at piece 20. The three all-clears below aren't fully transpositions of each other, though, as we variously end up with a different piece in hand: L, S, or Z:

        

On the other hand, these three are: they all hold the S in hand and play I, J, L, O, Z, and T:

        

In chess, this is called a transposition. We get to the same strong position via a different route. In Tetris I count it as a transposition if we place different pieces in different places, but end up with our squares of material in the same place with the same piece in hand. Another transposition to this I've seen more often is the two variants of the Izzy facedown-J at the end of the first deck, which get the same position with both an early Z and late Z:

    

More on that opening in another post.

No comments:

Post a Comment