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Numbers Hexagonal Board Also Known as Cross Sums

Tally Hive

Put a digit from 1 to 9 in every cell of a hexagon so each line adds up to the number on the rim beside it. Every cell sits on three lines, so every digit has three totals to satisfy.

  • Four levels: Easy to Extra Hard
  • 7 techniques on its ladder
Tally Hive on iPad: a board in progress
Tally Hive on iPhone: a board in progress
About the Game

How Tally Hive Works

Dr. Hex, who explains the hints on the hexagon games

On a hexagon, lines of cells run in three directions: a Row, a Right Diagonal and a Left Diagonal. Each line's total is printed just outside the board, with a small chevron pointing along the line it belongs to. The three sets of totals sit on their own tinted bands around the rim, and selecting a cell lights all three of its lines.

There are no black squares: every cell is a play cell, and a few start filled in. When a line is finished and adds up, its total fades, so the numbers still bright on the rim are the ones you have left.

Tally Hive uses Tally's hints, techniques and controls, so a player who knows Tally already knows how to reason here. The board is 19 cells on Easy and Medium and 37 on Hard and Extra Hard. It is played from Practice and is not part of the daily set.

The Rules

  1. 1

    Reach the Target

    Fill every cell with a digit from 1 to 9 so each line of cells adds up to the number printed against it on the rim. The chevron beside a total points along the line it totals.

  2. 2

    Three Lines, Every Cell

    Each cell belongs to a Row, a Right Diagonal and a Left Diagonal. Select a cell and all three light up.

  3. 3

    No Repeats in a Line

    A digit cannot appear twice within the same line, though it may repeat in a different one.

  4. 4

    Given Digits Are Fixed

    Digits already on the board when you start stay put. Build your answer around them.

  5. 5

    A Wrong Digit Costs a Heart

    A digit that does not belong in a cell costs a heart the moment you place it. Changing it to another wrong digit costs nothing more, and notes are always free. You have three hearts a board.

On iPhone and iPad

The real screens.

Every picture on this page is the app itself, on a board from the game.

Tally Hive on iPhone: a hint card teaching Run Minimums, with the squares it uses lit on the board
A hint teaching Run Minimums
Tally Hive on iPad: a hint card teaching Run Minimums, with the squares it uses lit on the board
A hint teaching Run Minimums
History

Where Tally Hive Comes From

Tally Hive is Dayzle's Tally, a cross sums puzzle in the family Nikoli calls kakuro, moved onto a hexagon. Dayzle built it in September 2026.

Three things changed on the way. Each cell sits on three lines instead of two. The totals moved from clue squares inside the grid to the rim, because a hexagonal clue cell would have to carry up to three numbers, too small to read on a phone. And the board stops at 37 cells: on the next size up, the middle lines are nine cells long and hold every digit, so almost every cell could be filled by crossing out digits without adding anything up.

Four Levels

How the Levels Differ

Easy and Medium use a small hexagon of 19 cells. Easy gives more digits, about 11 cells to work out, and each can be settled from a line with one gap left. Medium gives fewer, about 14 cells to work out, and asks you several times a board to weigh two empty cells of a line together.

Hard and Extra Hard use a bigger hexagon of 37 cells. Hard asks, once or twice a board, for a line with three or four empty cells worked out together, and the rest is pairs and totals. Extra Hard asks two or three times for a line with four or more empty cells, with a few three-cell lines around them.

The Technique Ladder

7 techniques, easiest first.

In Dayzle the hint and the solver are one engine, so these are the steps it takes to solve a Tally Hive board, from the first you'll meet to the rarest. Open one for a worked example and a clip of the hint teaching it on a real board.

Run Total Basic A line with one empty cell left: its total minus the digits already in it is that cell's digit.

Say a Right Diagonal totals 9 and already holds 2 and 4, with one cell empty. 2 + 4 = 6, and 9 − 6 = 3, so the empty cell is 3.

On Easy this is nearly the whole game: each cell you fill can leave one of its other two lines with a single gap.

Dr. Hex, who explains the hints on the hexagon games
Tally Hive: the hint teaching Run Total on a real board. A line with one empty cell left: its total minus the digits already in it is that cell's digit.
The app's own hint, on a board from the game.
Naked Single Beginner A cell where only one digit is not already used on its three lines, or with one note left.

Go through 1 to 9 for a cell and skip every digit already on its Row, Right Diagonal or Left Diagonal. If only one is left, it goes in that cell. With notes, it is a cell with one note left.

Dr. Hex, who explains the hints on the hexagon games
Tally Hive: the hint teaching Naked Single on a real board. A cell where only one digit is not already used on its three lines, or with one note left.
The app's own hint, on a board from the game.
Run Minimums Intermediate The other empty cells of a line take at least 1 + 2 + …, which caps how big each cell can be.

Say the three empty cells of a Row have to add up to 9. Any two of them take at least 1 + 2 = 3, with no digit twice, which leaves at most 6 for the third. No empty cell in that row can be more than 6.

Dr. Hex, who explains the hints on the hexagon games
Tally Hive: the hint teaching Run Minimums on a real board. The other empty cells of a line take at least 1 + 2 + …, which caps how big each cell can be.
The app's own hint, on a board from the game.
Run Maximums Intermediate The other empty cells of a line take at most 9 + 8 + …, which sets how small each cell can be.

Say the two empty cells of a Left Diagonal have to make 15. The other cell can take at most 9, so neither cell can be less than 6: notes 1 to 5 come out of both.

Dr. Hex, who explains the hints on the hexagon games
Tally Hive: the hint teaching Run Maximums on a real board. The other empty cells of a line take at most 9 + 8 + …, which sets how small each cell can be.
The app's own hint, on a board from the game.
Partner Check Intermediate In a line with two empty cells, each note needs a partner that is still pencilled in the other cell.

Whatever goes in one of the two cells decides the other. Say they must make 10. A 5 would need another 5, which repeats, so 5 comes out. And if one cell is down to 3 or 4, the other can only be 7 or 6.

Dr. Hex, who explains the hints on the hexagon games
Tally Hive: the hint teaching Partner Check on a real board. In a line with two empty cells, each note needs a partner that is still pencilled in the other cell.
The app's own hint, on a board from the game.
Naked Pair Intermediate Two cells on one line with the same two notes and nothing else.

Say two cells of a Row both have only the notes 2 and 7. Between them they use up the 2 and the 7, so every other cell on that row loses those notes.

Dr. Hex, who explains the hints on the hexagon games
Tally Hive: the hint teaching Naked Pair on a real board. Two cells on one line with the same two notes and nothing else.
The app's own hint, on a board from the game.
Sum Combinations Advanced List every way a line's empty cells could still make its total, and drop any note that fits none of them.

Write out every set of digits the empty cells could still hold, using only their notes and no digit twice. Say three empty cells must make 24: the only way is 7, 8, 9, so every other note in them comes out.

This is what Hard and Extra Hard boards are built around: a few lines with three, four or more empty cells where nothing simpler works.

Dr. Hex, who explains the hints on the hexagon games
Tally Hive: the hint teaching Sum Combinations on a real board. List every way a line's empty cells could still make its total, and drop any note that fits none of them.
The app's own hint, on a board from the game.
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