December 2024
Problem of the Month

The Diamond Tree Challenge
By Mike Shenk in
GAMES May 2005



In each of the diamond trees below, you must place each of the digits 1 through 9 in the hexagons according to the pattern in the challenge.
Challenge #3 is for extra credit.

Challenge #1
Place the digits from 1 to 9 in the nine hexagons so that no two adjacent hexagons contain either consecutive numbers or numbers whose names contain the same number of letters.

Challenge #2
Place the digits from 1 to 9 in the nine hexagons so that no two adjacent hexagons contain digits whose sum is a multiple of four or five.

Challenge #3
Place the digits from 1 to 9 in the nine hexagons so that the total of the digits in the hexagons adjacent to any given hexagon is a multiple of the digit in the given hexagon.



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Send your solution by the end of the month to: mathpage@gmail.com