Dan Thomasson
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Knight's Tour Water Chestnuts

The page banner above shows a picture of invasive water chestnut two-horned trapa plants also known as trapa bispinosa.  The picture was taken by Sara Tangren and downloaded from nps.gov/articles/000/two-horned-trapa-trapa-bispinosa.htm on 3/8/2025.

It just so happens that I came across a knight's tour that reminds me of the shape of the trapa plants.  See the initial construction of the knight's tour using blue, red, and green lines for the moves of the knight.
Picture
Notice the rotation of the knight's moves shown with red lines is rotating clockwise and continues a clockwise motion with the green knight's moves.  Once the green move connects to the blue moves, the rotation switches to counterclockwise.  Can you think of anything that moves, or appears to move, clockwise in the middle but counterclockwise around the middle?

By changing the colors of the knight's moves and the background of the board, I made the tour appear as if it were in water.  I colored the center moves green as well as the shapes in the four corners of the board.  The end result reminded me of water chestnuts (two-horned trapa) floating in the water.
Picture
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