The Simple Example of the Double Tetris Lamp
barronwasteland.wordpress.comHey, original Tetris proof guy here. Glad to see it works with two lamps! However, since the 'one of each colour' property is a necessary property for a rectangular arrangement to exist, not a sufficient one, simply having the 'same number of colours' doesn't mean that such an arrangement definitely exists. (It's pretty easy to think of an example of a set of pieces where one doesn't, but the property is satisfied).
The fact that an arrangement does exist in the two lamp case is neat though.
Oh certainly. I thought I'd explained my thought process but what I meant was that "Since the same number of colors exists then a arrangement may exist" and given that it may a brute-force type approach was taken to confirm that one indeed does