Order 16 Semi-Magic Square
Closed Knight's Tour


Here is a Semi-Magic Closed Knight's Tour that I designed based on H. J. R. Murray's "Extended Quartes Method." All rows and columns add up to 2056, while the main diagonals add up to 1944 and 2168.

The closed semi-magic Knight's Tour shown below on the left comes from Section 1 of 17 - 180° Rotation-Symmetric tours. I used the same modular Knight Tours from Four Basic 16-move Closed Mini-Tours shown below on the right that Helga Em. de Vasa used over 40 years ago. Notice that the 16x16 tour is also 180° Rotation-Symmetric. The two pink lines in the 16x16 tour show where the moves begin or end, running in either direction, to make Semi-Magic Knight Tours.


SMKT-124.gif     Madachyb.gif


Remove all the red lines

SMKT-124b.gif     SMKT-80d.gif


Combined Tours for Semi-Magic Knight's Tour

16x16SMKT-124.gif


Previous

horizontal bar

www.BordersChess.org/16x16SMKT-124.htm   modified 2005.12.12