Knight Knight Sleep Tight III

Logic Level 2

We know that a normal knight can traverse a normal 8 × 8 8 \times 8 chessboard, landing on each square exactly once. Here is one such route:

Then, can a knight which travels twice as far per jump (compared to a normal knight) traverse a 16 × 16 16 \times 16 board, landing on each square exactly once?

This problem is part of the Knight Knight Sleep Tight set.

Yes No

Stephen Mellor by Stephen Mellor , 20, United Kingdom

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Steven Perkins
Apr 10, 2018

A super knight would start and end on the same color square with each jump. So it could never complete a tour of any size chess board.

2 Helpful 0 Interesting 0 Brilliant 0 Confused

Yes, easier than it looks at first, isn't it?

Stephen Mellor - 3 years, 2 months ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...