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BINARY SOLUTIONS
. . . . . using the Gray Binary code as figurative elements in explaining the solution movements . . . . .
E-Bay member "14gordianknot"
What is meant by : 'the solutions being done in the Gray Binary code number system' is, for example, starting off by typing in 7 ones in a row as representing the rings all threaded onto the handle . . . as at the beginning, before any move is started . The first move calls for dropping ring #1 -- this being represented as a zero (moves being made are the zeros colored in red) .
The red column titled dec # are your normal numbers (in the decimal mode) representing their complimentary 'Gray' binary numbers .
The numbers in blue are the products of the subtraction of the sequential decimal numbers . It's interesting to note a pattern as you scroll your eyes down the blue column . . . there are groups of paladrone numbers (numbers that can be read in reverse of normal direction - ie., the topmost group being : 64 - 16 - 64) .
Or, you can start with the second number (16), this time the palandrone group consists of 7 numbers : 16 - 64 - 96 - 4 - 96 - 64 - 16) . . . . and on it goes !
You'll notice at the far left, all the way down alongside the 'moves' column, references relating to the extent of the puzzle's completion . Those in red refer to when a specific major numbered ring has finally reached the 'dropped' position . Those in blue refer to when that point is reached where all the rings before the 'dropped' ring have finally been all threaded back onto the handle in preparation for the next major ring drop !
For this 7-ring puzzle, it takes a total of 64 moves to fully release the handle from the 'assembly' .
The red column titled dec # are your normal numbers (in the decimal mode) representing their complimentary 'Gray' binary numbers .
