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Paenza
2010 Paenza
5
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Part of
2010 Paenza
Problems
(1)
Bricks in 4-dimensional space - Paenza 2010
Source:
8/27/2010
In
4
4
4
-dimensional space, a set of
1
×
2
×
3
×
4
1 \times 2 \times 3 \times 4
1
×
2
×
3
×
4
bricks is given. Decide whether it is possible to build boxes of the following sizes using these bricks: i)
2
×
5
×
7
×
12
2 \times 5 \times 7 \times 12
2
×
5
×
7
×
12
ii)
5
×
5
×
10
×
12
5 \times 5 \times 10 \times 12
5
×
5
×
10
×
12
iii)
6
×
6
×
6
×
6
6 \times 6 \times 6 \times 6
6
×
6
×
6
×
6
.
geometry
3D geometry
combinatorics unsolved
combinatorics