numbridge

Numbridge — Strategy

VOG — Vinco Online Games

Managing your hand

You hold three tiles, and every one of them has a legal cell on the field — the tiles in play are exactly as many as the empty cells, digit by digit. So "I have nothing to play" is never true. What is sometimes true is something else: "I have not found where."

A hand is three attempts, not three digits

Judge your hand by how many cells each tile can close for certain, not by how nice the digits look.

tile   cells deduced   verdict
  7          1         working: play it now
  3          0         heavy: many candidates, nothing deduced
  9          2         working, and you have a choice — spend it well

If two tiles are working, spend the one whose cell matters more positionally: the other tile is not going anywhere, but a convenient cell will be gone. If only one is working, the question is already settled.

When to exchange

An exchange costs a whole turn: your hand goes into the bag, you draw a new one and the turn ends there. Paying a turn for a lottery ticket is expensive, and exchanging is worth it only when all three tiles are heavy and there is no cell on the field you are willing to close without guessing.

Keep in mind that the bag is shuffled and some of the same tiles may come back to you: an exchange does not guarantee a new hand, it only offers a chance.

Exchanges are rarer in Numbridge than a beginner expects, and the reason is not the bag: the tiles in play are exactly as many as the empty cells, so the bag stays stocked for almost the whole game and runs dry only at the very end, when no more empty cells are left than two hands can hold. The reason is the price: a turn is worth a cell, and an exchange yields no cell.

The bag runs dry

Watch the bag counter. While the bag holds tiles, your hand is refilled to three after every turn — after a miss as well. Once the bag is empty there is no refill: the hand thins out, and every remaining tile becomes your last chance at a cell. Nor can you exchange against an empty bag. That happens only at the close of a game — while empty cells are plentiful, there are tiles to spare for the bag.

Two consequences for the endgame follow:

  • Do not postpone a cell you want if you already hold the tile for it and the bag is near the bottom: another such tile may never come.
  • Count your opponent's hand. The number of their tiles is always visible. If they hold one tile and the bag is empty, they have one move left and will not finish a long chain.

Count the digits by eye

There is no per-digit counter of remaining tiles beside the board: the panel shows your hand, the number of your opponent's tiles, the size of the bag and the mistake counter. You have to count yourself — but the counting is easy.

On a full field every digit appears exactly as many times as the side of the rhombus: nine times on a 9×9 field, six in Blitz. Run your eye over the board and count the nines, givens included: if there are seven already, two cells are left for a nine. Now look at how many empty cells could hold a nine at all under the rules of sudoku. If there are two of those as well, both cells are solved — no matter who holds the nines.

That count is useful even when the tile you need is your opponent's: you know where they are going and can take the cell first.

A beginner's mistake

Saving a "good" tile for later. Saving does not work in Numbridge: the cell you were keeping it for gets closed by your opponent, and by then the bag is empty. A tile you can place with certainty and to your benefit is placed now.