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MathNet 2016-part-01 — 184 problems (EN–VI) Question 68

Math Olympiad Vault · MathNet 2016-part-01 — 184 problems (EN–VI)

Question 68

Does there exist a hexagon with side lengths $1$, $2$, $3$, $4$, $5$, $6$ (not necessarily in this order) that can be tiled with

a) $31$

b) $32$

equilateral triangles with side length $1$?