Can the knight start in the top left corner of a regular chess board ​ Discussion

Can the knight start in the top left corner of a regular chess board ​ Discussion

Discussion 5

By Mananshah1008 (Own work) [CC BY-SA 3.0 (http://creativecommons.org/licenses/by-sa/3.0)], via Wikimedia Commons

By Mananshah1008 (Own work) [CC BY-SA 3.0 (http://creativecommons.org/licenses/by-sa/3.0)], via Wikimedia Commons

Above you can see a sharp looking chess board! Are you familiar with how to play? Don’t worry, this week I only want you to focus on one of the pieces: The Knight!

By che (production: Nolanus, lighting assistance: Danny B.) (che) [CC BY-SA 2.5 (http://creativecommons.org/licenses/by-sa/2.5)], via Wikimedia Commons

By che (production: Nolanus, lighting assistance: Danny B.) (che) [CC BY-SA 2.5 (http://creativecommons.org/licenses/by-sa/2.5)], via Wikimedia Commons

The Knight in chess moves in an L shape as shown below:

Knight Moves

Here’s the question: Can the knight start in the top left corner of a regular chess board, land on every space exactly one time, and end up in the bottom right corner? Make sure to justify yourself clearly so that everyone can follow your reasoning!