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Baltic Way
2016 Baltic Way
12
12
Part of
2016 Baltic Way
Problems
(1)
Tiling a hexagon
Source: Baltic Way 2016, Problem 12
11/5/2016
Does there exist a hexagon (not necessarily convex) with side lengths
1
,
2
,
3
,
4
,
5
,
6
1, 2, 3, 4, 5, 6
1
,
2
,
3
,
4
,
5
,
6
(not necessarily in this order) that can be tiled with a)
31
31
31
b)
32
32
32
equilateral triangles with side length
1
?
1?
1
?
Tiling
combinatorics