148 Combinatorial & Topological Problems
398. THE CARD PENTAGON
Make a rough pentagon on a large
sheet of paper. Then throw down the
ten non-court cards of a suit at the
places indicated in the illustration, so
that the pips on every row of three
cards on the sides of the pentagon
shall add up alike. The example will
be found faulty. After you have found
the rule you will be able to deal the
cards into their places without any
thought. And there are very few ways
of placing them.
- ROSES, SHAMROCKS,
AND THISTLES
Place the numbers I to 12 (one
number in every design) so that they
shall add up to the same sum in the
following seven different ways-viz.,
each of the two center columns, each
of the two central rows, the four roses
together, the four shamrocks together,
and the four thistles together.- A HEPTAGON PUZZLE
Using the fourteen numbers, 1,2,3,
up to 14, place a different number in
every circle so that the three numbers
in every one of the seven sides add
up to 19.
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