Knight's Tour Knight

While making designs on the chessboard with four mini-knight's tour closed circuits, I realized I could construct a complete closed knight's tour covering all 64 squares with one circuit.  Check out the following steps I used in making this knight's tour.  The first mini-knight's tour circuit looks like the outline of a knight riding a horse.

Step 1:

I first made one complete circuit consisting of 16 moves then copied the circuit and flipped it horizontally to make the second circuit.

Step 2:

I made additional copies of the first mini-knight's tour for the third circuit flipping it vertically and the fourth tour flipping it horizontally from the position of the third circuit.

Step 3:

I combined all four mini-knight's tours on one board that ended up making a very nice geometric and symmetrical pattern. 

Step 4:

After combining all four mini-knight's tours, I wanted to keep most of the symmetrical pattern but make a single 64 move closed knight's tour.  I was able to do this by moving four lines (knight moves), In the following image, I added or replaced the following knight moves with red, orange, yellow, green, lavender, aqua blue, pink and black colors.

Step 5:

In this step, I moved the red line over the top of the orange line, yellow over to green, lavender to aqua blue, and pink to the black line then recolored all the lines in the tour back to blue.

Step 6:

After successfully making a single closed knight's tour circuit out of four mini-knight's tour circuits, I colored each original mini-knight's tour circuit blue, red, green, and orange. 

Step 7:

I wanted to see if the single mini-knight's tour of 16 moves would tessellate.  Unfortunately, it does not make a complete tessellation.  The black diamonds in the middle of the image are gaps.  

Step 8:

As I mentioned earlier, the mini-knight's tour pattern looks like an outline of a knight riding a horse.