Chapter 09/Advanced
Use a line to gain time
Mandatory defenses and development of a second structure
A provisional threat can be useful
A line the opponent can break is not necessarily a wasted move. If you finish with exactly one valid line, their next removal must come from its four cells for play to continue. During that removal, your tiles outside the line are protected by the defensive obligation. We call this temporary restriction gaining a tempo.
The protection has a precise scope: it concerns that particular removal. After breaking the line, the opponent still places two tiles and may occupy useful cells for your next project. You have not gained an entire free turn or a guaranteed win. You have restricted one opposing decision and must check whether that restriction yields a usable advantage.
Coordinate pressure and development
Suppose your first placement completes a blue line on A1–D1 and your second improves a blue project near the bottom. If the upper line is the only completed one, Red must remove from A1–D1. Removing the newly placed lower tile in that defense would lose by leaving the upper line alive.
Before choosing the lower tile, consider which cells Red could occupy with their two placements. If your whole project depends on one empty cell, a forced removal above does not prevent the opponent from blocking that destination below. The combination looks more promising with several compatible continuations, but judging that promise remains heuristic.
One defense makes removal predictable
With a seven-tile straight, the global intersection contains one cell. The opponent must remove that middle tile to avoid losing, provided those are all your lines. You then know which cell opens and which number returns to your reserve. This information can simplify calculation of your next turn, although the opponent retains placement choices.
Do not confuse a predictable removal with a completely predictable reply. After removing, the opponent chooses two numbers and two positions and may create a defensive obligation of their own. On your next turn, you might have to address their line before repairing yours. Advanced calculation must include those two opposing placements for the supposed tempo to mean anything.
Avoid repairing on autopilot
Replacing the tile just removed can restore a line and force another defense, but it may also consume a placement every turn without approaching a resilient structure. Ask what the second tile achieves in each repetition. If it improves no alternative, the sequence may merely move material between board and reserve while the opponent develops options.
The game needs no repetition rule: after the opening, every completed placement turn increases total board occupancy by one. A local shape can reappear, but the global state keeps changing and reserves shrink. A chain of repairs is therefore neither an infinite loop nor proof that you can secure a draw.
Assess the cost of forcing a reply
When there is no immediate defensive obligation, compare a placement creating a provisional line with one preparing more options without creating it. The former restricts the opponent’s removal; the latter may offer better geometry or preserve a scarce number. Assess what each achieves: threatening out of habit can distract you from a more useful continuation.
When reviewing a game, write down which removal you forced and what concrete progress it enabled. If you cannot identify a continuation, gained space or preserved structure, avoid assigning automatic value to pressure. The exact principle is the obligation to break lines; converting it into a lasting advantage requires calculation and positional evaluation.
What to remember
- A provisional line forces removal from its intersection for play to continue
- A forced removal does not eliminate the opponent’s two placements
- Assess your second tile’s progress and avoid automatic repairs
Put it into practice
Practice position
Force a reply away from your project
One placement remains · Complete a line that forces defense on row 2
Blue’s tiles
27 remainingChoose a number, then an empty cell