1
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1answer
176 views

Mathematics of Tetris 2.0

Based on the question The Mathematics of Tetris, I was wondering if it is possible to have a series of tetris blocks that is impossible to clear. For example, getting the string TTTSS.. forces the ...
0
votes
1answer
102 views

packing boxes inside boxes

given 2 boxes (in 3-space) determine if one of the boxes resides within the other, or if a third box must be constructed that holds them both? given that a box is defined by its center($x,y,z$), and ...
1
vote
2answers
138 views

Pack box inside “smaller” box

Now, there is a puzzle that is quite well known as far as I know, concerning the packing of rectangular boxes in 3-dimensional space. You also have a measurement of a box as the sum of the hight, ...
153
votes
4answers
8k views

The Mathematics of Tetris

I am a big fan of the oldschool games and I once noticed that there is a sort parity associated to one and only one Tetris piece, the $\color{purple}{\text{T}}$ piece. This parity is found with no ...