Wiegleb Maximal Sweep Solutions

by George Bell - December 2015

Wiegleb Maximal Sweeps

There are three problems on Wiegleb's Board that can contain a 16-loop:
Problem Loop Complement Coordinates
1) Vacate g4, play to finish at d4 with the last move a 16-loop.
2) Vacate g5, play to finish at d2 with the last move a 16-loop.
3) Vacate d6 (or g6), play to finish at d3 with the second to the
last move a 16-loop. The 16-loop begins and ends at d2.

Note that many solutions are possible, and you do not have to execute the moves in the order shown in the diagrams. The solutions shown are optimized, it is more natural to make many jumps in one section of the board before moving on to another section. The forward solutions are also optimized, and do not use the exact same jump sequence reversed. Often, by reordering the jumps, you can get a shorter solution than you get from a reversal.

Problem #1, solved backward from the complement position:

Problem #1, forward solution in 22 moves (minimum possible, with 16-loop)

Note: "Vacate g4, play to finish at d4" can be solved in a minimum of 20 moves.


Problem #2, solved backward in 6 moves from the complement position:

Problem #2, forward solution in 24 moves (minimum possible, with 16-loop)

Note: "Vacate g5, play to finish at d2" can be solved in a minimum of 21 moves.


Problem #3, solved backward from the complement position:

Problem #3, forward solution in 23 moves (minimum possible, with the 16-loop)

Note: "Vacate d6, play to finish at d3" can be solved in a minimum of 20 moves.
Note: "Vacate g6, play to finish at d3" can be solved in a minimum of 20 moves.


Copyright © 2015 by George I. Bell

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