536 Puzzles and Curious Problems

(Elliott) #1
352 Answers


  1. TWO EIGHT-POINTED STARS


The illustration is the required
solution. Every line of four numbers
adds up 34. If you now find any solu-


tion to one of the stars, you can im-
mediately transfer it to the other by
noting the relative positions in the
case given.
I have not succeeded in enumer-
ating the stars of this order. The task
is, I think, a particularly difficult one.
Perhaps readers may like to attempt
the solution.
[Domergue (see preceding note),
in his 1963 analysis of the six-, seven-,
and eight-pointed stars, found 112
different solutions for the eight-
pointed star. He estimated that the
nine-point star has more than 2,000
distinct patterns.-M. G.]


  1. FORT GARRISONS


The illustration shows one way of
arranging the men so that the num-
bers in every straight line of four forts
add up to one hundred.


  1. THE CARD PENTAGON


Deal the cards 1, 2, 3, 4, 5 in the manner indicated by the dotted lines
(that is, drop one at every alternate angle in a clockwise direction round

Free download pdf