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Tournament Of Towns
1984 Tournament Of Towns
(079) 5
(079) 5
Part of
1984 Tournament Of Towns
Problems
(1)
TOT 079 1984 Autumn S5 7x7 square by 16 1x3 tiles and 1 1x1 tiles
Source:
8/24/2019
A
7
×
7
7 \times 7
7
×
7
square is made up of
16
16
16
1
×
3
1 \times 3
1
×
3
tiles and
1
1
1
1
×
1
1 \times 1
1
×
1
tile. Prove that the
1
×
1
1 \times 1
1
×
1
tile lies either at the centre of the square or adjoins one of its boundaries .
combinatorics
combinatorial geometry
Tiling