How many little hexagons in the figure?
This problem's question: How many little hexagons in the figure?
This problem is extremely easy. You can just count the little hexagons. You could note some regularities and reduce the problem to a small arithmetic problem. You could find or even develop the polynomial to compute the appropriate number for a given .
Somehow the figure was not included before initial posting! I regret that event.
The answer is 397.
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1 solution
If you exclude the center hexagon, then remainder of the figure can be divided into 6 triangle with a base one less the edge count of the large hexagon. This directly gives a polynomial for computing the count for a given edge count n : 1 + 6 ( 2 n ( n − 1 ) ) . Using n = 1 2 in that polynomial , the result is 397.