Knight's Polygons (January 3-6)

Using a variation on Knight's Tours, in 2004, I created a challenge to find Knight's Polygons.  The goal is to create a polygon with the most number of sides on an 8x8 chess board moving like a knight.  You start on anyone of the 64 squares from the middle of the square and make a straight segment to the center of the next square moving like a knight.

The difficulty is being able to close your figure (one of the requirements of a polygon); the other challenge is not to cross over segments.  The current record is 28 sides utilizing the greatest amount of space on the board.

The attached pdf shows the solution, but please try to create it yourself before copying the solution.  The attached excel spreadsheet has an example that uses the key shape I call the "claw" and has 9 other blank boards for the students to explore solutions.

I cannot wait to see everyone's efforts next week.