Hexakuro Hexagonal Number Puzzle
For a given number of hexagons in a column or diagonal, there are some clues that will only have one set of numbers which work. (They may still be in any order). These “Unique” sets of numbers for a given sum are given in the following table. It is very helpful to look for these situations when solving a Hexakuro™ puzzle. PDF
Two hexagons: 3 = {1,2} 4 = {1,3} 16 = {7,9} 17 = {8,9}
Three hexagons: 6 = {1,2,3} 7 = {1,2,4} 23 = {6,8,9} 24 = {7,8,9}
Four hexagons: 10 = {1,2,3,4} 11 = {1,2,3,5} 29 = {5,7,8,9} 30 = {6,7,8,9}
Five hexagons: 15 = {1,2,3,4,5} 16 = {1,2,3,4,6} 34 = {4,6,7,8,9} 35 = {5,6,7,8,9}
Six hexagons: 21 = {1,2,3,4,5,6} missing {7,8,9} 22 = {1,2,3,4,5,7} missing {6,8,9} 38 = {3,5,6,7,8,9} missing {1,2,4} 39 = {4,5,6,7,8,9} missing {1,2,3}
Seven hexagons: 28 = {1,2,3,4,5,6,7} missing {8,9} 29 = {1,2,3,4,5,6,8} missing {7,9} 41 = {2,4,5,6,7,8,9} missing {1,3} 42 = {3,4,5,6,7,8,9} missing {1,2}
Eight hexagons: 36 = {1,2,3,4,5,6,7,8} missing 9 37 = {1,2,3,4,5,6,7,9} missing 8 38 = {1,2,3,4,5,6,8,9} missing 7 39 = {1,2,3,4,5,7,8,9} missing 6 40 = {1,2,3,4,6,7,8,9} missing 5 41 = {1,2,3,5,6,7,8,9} missing 4 42 = {1,2,4,5,6,7,8,9} missing 3 43 = {1,3,4,5,6,7,8,9} missing 2 44 = {2,3,4,5,6,7,8,9} missing 1
Nine hexagons: 45 = {1,2,3,4,5,6,7,8,9} Note that with 9 hexagons the clue is always 45 and is not normally provided.
Two hexagons: 3 = {1,2} 4 = {1,3} 16 = {7,9} 17 = {8,9}
Three hexagons: 6 = {1,2,3} 7 = {1,2,4} 23 = {6,8,9} 24 = {7,8,9}
Four hexagons: 10 = {1,2,3,4} 11 = {1,2,3,5} 29 = {5,7,8,9} 30 = {6,7,8,9}
Five hexagons: 15 = {1,2,3,4,5} 16 = {1,2,3,4,6} 34 = {4,6,7,8,9} 35 = {5,6,7,8,9}
Six hexagons: 21 = {1,2,3,4,5,6} missing {7,8,9} 22 = {1,2,3,4,5,7} missing {6,8,9} 38 = {3,5,6,7,8,9} missing {1,2,4} 39 = {4,5,6,7,8,9} missing {1,2,3}
Seven hexagons: 28 = {1,2,3,4,5,6,7} missing {8,9} 29 = {1,2,3,4,5,6,8} missing {7,9} 41 = {2,4,5,6,7,8,9} missing {1,3} 42 = {3,4,5,6,7,8,9} missing {1,2}
Eight hexagons: 36 = {1,2,3,4,5,6,7,8} missing 9 37 = {1,2,3,4,5,6,7,9} missing 8 38 = {1,2,3,4,5,6,8,9} missing 7 39 = {1,2,3,4,5,7,8,9} missing 6 40 = {1,2,3,4,6,7,8,9} missing 5 41 = {1,2,3,5,6,7,8,9} missing 4 42 = {1,2,4,5,6,7,8,9} missing 3 43 = {1,3,4,5,6,7,8,9} missing 2 44 = {2,3,4,5,6,7,8,9} missing 1
Nine hexagons: 45 = {1,2,3,4,5,6,7,8,9} Note that with 9 hexagons the clue is always 45 and is not normally provided.