Knight's Tour Cube

(8x8x8 Semi-Magic Octal Knight's Tour Cube, converted by Guenter Stertenbrink)

On 04-30-2007, Guenter Stertenbrink converted Awani Kumar's Semi-Magic Knight's Tour Cube into octal numbers ranging from 000 to 777 (511 decimal). Using gematria, the number 777 has several divine attributes. 777 is also the total number of pages in the Pulitzer prize-winner 20th-anniversary edition of Gödel, Escher, Bach: an Eternal Golden Braid by Douglas R. Hofstadter.

Each row, column, or pile adds up to 3774 (octal). Convert 3774 octal back to decimal to get 2044. Remember that each number is one less per move because of starting the tour at zero instead of one. Therefore, just add 2044 plus 8 to get the original 2052 total for each row, column, or pile in Awani Kumar's Knight's Tour Cube.

Interestingly, a total of 34 octal (28 decimal) can be obtained by adding up only the leftmost digits, only the middle digits, or only the rightmost digits of the three-digit octal numbers per row, column, or pile.

    

    

    

    


If you would like a copy of the Octal KT Cube in text format, right click the following file and select "Save Target As..."

OctalKTcube.txt

www.BordersChess.org/OctalKTcube.htm   modified 2007.05.01