Knight's Tour with 180 Degrees Rotation Symmetry I

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 that has 180 degrees rotation symmetry.  Check out the following steps I used in making this knight's tour.

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.  The following single closed circuit with 180 degrees rotational symmetry (either horizontally or vertically) is the result of moving only four lines.

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 edges blue, red, green, and orange. 

Step 7:

The following shows the 4-circuit knight's tour and the single closed circuit with each 16 moves colored blue, red, green then orange consecutively.

Step 8:

The diamond shapes in the middle of the knight's tour form a cross of Christian origin.  Each diamond contains a letter of the Greek alphabet such as Χ in the top diamond and Ρ in the bottom diamond representing the first two letters of Christ's name in Greek:  Χριστός (Christos). Traditionally, both letters X  (Chi) and P (Rho) overlap each other to form a Christian symbol used in early Christendom.  The α (alpha) and ω (omega) represents "the beginning and the end" and is often seen in the same symbol of X-P on both sides of the letters.  The Θ (Theta) in the middle diamond is for  Θεός (Theos) meaning GOD.