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 'Chess' Polygons (Posted on 2009-04-24)

a b c d e f g h i j
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 C E B F E A E B H A A E H D F G E G D C F E B A H H B B C F D A D G E D H D B C C E D E G C G C D F C C B F A A C D G C F B C B C C B H E C A C E B E B A D D G D E G B C H D E B C
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Draw the following set of convex polygons with vertices in ascending and consecutive alphabetical order:
triangle, square, pentagon, hexagon, heptagon and octagon.

Each vertex sequence begins with an A with subsequent (and all) vertices being 3 squares apart as defined by a chess knight's "L" shaped move or the queen's diagonal or orthogonal move.

No polygon is to have a common vertex with another. Should this occur then one or the other is not part of the solution.

 See The Solution Submitted by brianjn No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
 re: computer solutions | Comment 3 of 5 |
(In reply to computer solutions by Charlie)

I see that at least one of the solutions presented, while convex, were self intersecting, like a star. I'll have to go back to the drawing board.

 Posted by Charlie on 2009-04-25 00:43:11

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