Dan Thomasson
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Knight's Tour Color Combos

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 color combo graphic image.  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 32 moves, copied it, then flipped it horizontally to make the second mini-knight's tour.
Picture
Picture

Step 2:

I combined the previous two mini-knight's tours of 32 moves each on one board that ended up making a very nice geometric and symmetrical pattern.
Picture
Picture

Step 3:

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

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.
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Step 5:

I colored the pattern in the middle of the tour and the corresponding knight moves in each quadrant with blue, red, green and orange.  By overlapping these colors, an artistic color graphic image appears showing mixed colors of light.
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Step 6:

I separated the overlapping colors to make a single knight's tour color combo.  The new colors created after combining the first four colors reveals magenta (blue + red), olive (green + orange) and white (blue + red + green + orange).   If the colors were mixed as in paint pigment, the overlapping colors would appear darker and the center color would be a brownish color instead of white as well as the combination of green + orange.
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