Knight's Tour Wheels

​While making designs on the chessboard with two mini-knight's tour closed circuits, I realized I could construct a complete open knight's tour covering all 64 squares with one circuit that also makes a four-spoked rim for wheels.  Check out the following steps I used in making this knight's tour.

Step 1:

I first made a mini-knight's tour consisting of 36 moves and another one with 28 moves.  Notice how the move order in both tours flows clockwise and counter-clockwise multiple times with each mini-tour.

Step 2:

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

Step 3:

In the following image, I added or replaced the following knight moves with red, orange and black.

Step 4:

In this step, I moved the red line over the top of the orange line, deleted the black line then recolored all the lines in the tour back to blue.  This made a single open knight's tour circuit.

Step 5:

I colored the pattern in the middle of the tour grey 

Step 6:

I removed the pattern from the center of the tour and placed five black dots in the middle of the image, then placed a large circle around the image.  The result is a wheel (rim with 4-spokes and a tire).  See the following animated wheels where the first one rotates clockwise and the second rotates counter-clockwise.