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.
Click here for a printer version
Solution to the Problem:
Correctly solved by:
| 1. Kamal Lohia |
Holy Angel School, Hisar, Haryana, India |
| 2. Dr. Hari Kishan ** |
D.N. College, Meerut, Uttar Pradesh, India |
| 3. Davit Banana ** | Istanbul, Turkey |
| 4. Marco Morelli's 1ITE class |
Istituto Tecnico Tecnologico "G. e M. Montani", Fermo, Italy |
| 5. Colin (Yowie) Bowey | Beechworth, Victoria, Australia |
| 6. Kelly Stubblefield | Mobile, Alabama, USA |
** solved the extra credit