VGMaps

Main Boards => VGMaps Social Board => Topic started by: JonLeung on March 25, 2011, 08:46:51 am

Title: Can two sets of tetrominoes fit into a 7 x 8 grid?
Post by: JonLeung on March 25, 2011, 08:46:51 am

Google is failing me.  Maybe you guys know the answer.

I like tetrominoes (apparently the proper term, not "tetrads" as mentioned in some earlier Tetris games), and I fairly recently bought two "Iceblox" ice cube trays that make tetromino ice cubes (http://www.thinkgeek.com/homeoffice/kitchen/b34a/) (well, not cubes, but you know what I mean) from thinkgeek.com (http://www.thinkgeek.com/homeoffice/kitchen/b34a/).  Each tray makes two of each tetromino, except only one of each of the the Z- and S- (or reverse-Z-) shapes for some reason.  It got me thinking about them again.

Anyway, it's impossible to fit all seven tetrominoes once each into a 7 x 4 grid.  But I haven't yet figured out (or found on the Internet) if it's possible to fit them all twice in a 7 x 8 grid.  And furthermore, if they can be placed in such a way as to be rotationally symmetrical.  (Or horizontally/vertically.)  Anyone know?

Title: Re: Can two sets of tetrominoes fit into a 7 x 8 grid?
Post by: JonLeung on March 29, 2011, 05:58:49 pm

Never mind, I think I figured it out...
(http://img832.imageshack.us/img832/9107/tmptetris.png)