Four Basic 16-move
Closed Mini-Tours

The following four basic 16-move closed min-tours can be seen in thousands of Knight Tours, and you have probably seen them used many times throughout this website. I will show you various combinations of these four basic tours, and then how they can be used modularly to make other size tours. The combinations shown here are not exhaustive, but used only as examples. By using these mini-tours, you can experiment making additional combinations.


Four Basic 16-move Closed Mini-Tours

KT16a.gif     KT16b.gif     KT16c.gif     KT16d.gif


Double-Stacked Mini-Tours with one each Rotated Horizontally

KT16a2.gif     KT16b2.gif     KT16c2.gif     KT16d2.gif


Double-Stacked Mini-Tours with one each Rotated Horizontally and 90 degrees left

KT16a2b.gif     KT16b2b.gif     KT16c2b.gif     KT16d2b.gif


Double-Stacked Mini-Tours with one each Rotated Horizontally and 180 degrees

KT16a2c.gif     KT16b2c.gif     KT16c2c.gif     KT16d2c.gif


Various Combinations of Mini-Tours

KT16-12.gif     KT16-14.gif     KT16-7.gif     KT16-16.gif

KT16-13.gif     KT16-3.gif     KT16-15.gif     KT16-25.gif

KT16-24.gif     KT16-8.gif     KT16-5.gif     KT16-1.gif

KT16-9.gif     KT16-2.gif     KT16-26.gif     KT16-11.gif

KT16-6.gif     KT16-23.gif     KT16-4.gif     KT16-18.gif

KT16-27.gif     KT16-17.gif


To see how the last mini-tour combination (KT16-17.gif) shown above was used to create an Order 16 Magic Square Closed Knight's Tour where all rows, columns, and major diagonals each added up to 2056, check out Reconstruction of de Vasa's Magic Square.

Notice the two mini-tour patterns (KT16-4.gif and KT16-18.gif) that look like the letters "I" and "U". Go to my I-N-C-U-H webpage to see how those two mini-tours can be manipulated to create a new alphabet, vocabulary, ciphers, or codes.


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www.BordersChess.org/4BasicTours.htm   modified 2006.12.14