5.X.3. COUNTING HEXAGONS
M. Adams. Puzzle Book. 1939. Prob. C.157: Making hexagons, pp. 163 & 190. The hexagon on the triangular lattice which is two units along each edge contains 8 hexagons. [It is known that the hexagon of side n contains n3 hexagons. I recently discovered this but have found that it is known, though I don't know who discovered it first.]
The Diagram Group. The Family Book of Puzzles. The Leisure Circle Ltd., Wembley, Middlesex, 1984. Problem 32, with Solution at the back of the book. Count the hexagons in the hexagon of side three on the triangular lattice. They get 27.
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