Knight Tours by Cyril Pearson
A. (Arthur) Cyril Pearson (1838-1916) wrote and edited a book called Twentieth Century Standard Puzzle Book published by George Routledge and Sons, 1st edition 1907 in London, England. Within this book were some very nice symmetrical knight tours that I will share here. I will add a page reference for each tour and the title that Cyril gave to each of his knight's tours.
Cyril had made some errors in I-87 The Windmill that I corrected by removing two additional moves that were not needed. I also noticed that in his effort to make single circuit knight tours, probably due to peer pressure or the purity of knight moves on the chessboard, he sacrificed the beauty of combining two knight's tour circuits that make perfect symmetry. From his original tours, I made and added the two knight tour circuits with blue moves for your viewing pleasure.
Cyril had made some errors in I-87 The Windmill that I corrected by removing two additional moves that were not needed. I also noticed that in his effort to make single circuit knight tours, probably due to peer pressure or the purity of knight moves on the chessboard, he sacrificed the beauty of combining two knight's tour circuits that make perfect symmetry. From his original tours, I made and added the two knight tour circuits with blue moves for your viewing pleasure.
The Hour Glass, I-83 (180 Degrees Half Symmetric)
A Star's Tour, I-84
The Marble Arch, I-85
Another Tour among Stars, I-86
The Windmill, I-87
Lazy Tongs, I-88
Chess Arithmetic, I-89 (180 Degrees Half Symmetric)
Same tour as above with numbers, I-89
Cyril Pearson explains that by rotating either half of the board 180 degrees (horizontally or vertically) will result in the corresponding squares containing numbers with a difference of 32. For example, the square h8 (53) minus the corresponding square a1 (21) equals 32. Also, d1 (64) - e8 (32) = 32. This will happen with all corresponding squares.