How to play Tickwork: rules and the counting strategy

Everything you need to play Tickwork, plus tips to get a better score.

How to play

Strategy: count, don't shuffle

Here's the secret: the order of your pushes never matters. Pushing A then B leaves the board exactly as B then A. All that matters is how many times you push each gear, and four pushes bring a gear back where it started, so each gear needs 0, 1, 2 or 3 pushes.

So think per gear. A gear ends up pointing up when its own pushes, minus the pushes of its neighbours, make up the quarter turns it's missing.

Example: three gears in a row, A – B – C, with arrows ⬅️ ⬇️ ⬅️. A and C each need one quarter turn clockwise; B needs half a turn.

Push A: it turns one step clockwise (up!) and turns B one step back. Push C: same for C, and B turns one more step back. B has now turned half a turn, so it points up too.

Two pushes, in any order: that's par. As counts: A = 1, B = 0, C = 1. For every gear, its own pushes minus its neighbours' pushes equal exactly the turns it was missing.

More tips: solve the ends of a chain first, since a gear with one neighbour depends on just two counts; a locked gear's count is always zero, so its neighbours must do all the work; and a heavy gear moves in steps of two, so its neighbours decide whether it lands on an odd step.

Play today's Tickwork

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