Knight's Tour Tessellation Construction III

While making designs on the chessboard with six mini-knight's tour closed circuits (four being the same shape and two being the same shape), I realized I could construct a complete open knight's tour covering all 64 squares with one circuit. This knight's tour can make a couple different tessellations.  Check out the following steps I used in making the open knight's tour and tessellations.

Step 1:

I first made one complete circuit consisting of 10 moves then copied the circuit and flipped it horizontally to make the second circuit.

Step 2:

I made the third 10-move circuit by flipping the first mini-knight's tour vertically. I copied the third circuit and flipped it horizontally to make the fourth circuit.

Step 3:

I combined all four mini-knight's tours on one board.

Step 4:

I noticed that the 10-move mini-knight's tour could be used as a puzzle piece to make a complete tessellation.  I copied the first mini-knight's tour circuit three more times and colored in all the circuits blue, red, green, and orange.  I then connected them in such a way to make a complete tessellation.

Step 5:

I made one 12-move mini-knight's tour circuit then copied it and flipped it horizontally to make the next circuit.

Step 6:

In this step, I combined the previous two circuits from Step 5, then added them to the four tours from Step 3.

Step 7:

I realized that the 12-move mini-knight's tour can easily be used as a tessellation piece.

Step 8:

I slightly modified the six mini-knight's tour circuits by combining them into only two mini-knight's tour circuits of 32 moves each.  I made the first 32 move circuit then copied it and flipped it horizontally to make the second circuit.

Step 9:

I combined the two tours from Step 8 to make the following image.

Step 10:

After combining both 32-move mini-knight's tours, I wanted to keep most of the original pattern but make a single 64 move knight's tour.  I was able to do this by moving one line (knight move) and deleting one line.  In the following image, I changed the colors of three moves to red, orange, and black.

Step 11:

In this step, I moved the red line over the top of the orange line and deleted the black line then recolored all the lines in the tour back to blue to make a single 64 move open knight's tour.