5.R.1.b. OTHER SHAPES
New section. See also King and Stewart in 5.R.1 for some forms based on a square board.
A
B C D E
F G
H
I J
Putnam. Puzzle Fun. 1978. No. 53: Checker star, pp. 10 & 34. Use the 10 points of a pentagram, as above, and leave one of the inner points empty. Reduce to one man. [Parity shows the one man must be at an outer point and any outer point can be achieved. If one leaves an outer point empty, then the last man must be on an inner point and any of these can be achieved.]
Hummerston. Fun, Mirth & Mystery. 1924.
Perplexity, pp. 22-23. Using the octagram board shown in 5.A, place 15 markers on it, leaving cell 16 empty. It is possible to remove all but one man. [I can't see how to apply parity to this board.]
Solplex, p. 25. In playing his Perplexity, specify where you will leave the last man?
Leap frog, Puzzle no. 22, pp. 64 & 175. Take a 4 x 3 board with the long edge extended by one more cell at the upper left and lower right. Put white counters on the 4 x 3 area, put a black counter in one of the extra cells and leave the other extra cell empty. Remove all but the black man. Counting multiple jumps of the same man as a single move, he does it in eight moves, getting the black man back to its starting point.
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