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Torches can't see each other

Every torch you place forbids a whole cross of cells. Use the whole cross.

The rule of thumb: Every cell a torch lights is a cell that can never hold a torch. Mark the whole sight line X.

Two torches may never shine on each other, so every cell a torch lights — its row and column until a pillar blocks the light — is a cell that can never hold a torch. Mark the entire sight line X. One placed torch can decide up to a dozen cells.

It also aims the other way: when you’re weighing a candidate cell, trace its sight lines. If a torch there would shine on one already placed, the cell is X. These practice boards stall without the markings — leave the sight lines blank and nearby pillars keep counting cells that can never hold their torches, so the counts never force the next one.

Where to look: The moment any torch lands, before anything else: its full row and column, both directions, up to the pillars.

Worked example

A real position from a board that needs Torches can't see each other. Purple: what the reasoning rests on. Dashed: the cells in question. Green: what it proves.

The torch at row 3, column 2 (purple) is lit. The dashed cells are in its light, down its row and column.
row 3, column 3 sits in the light of the torch at row 3, column 2 — a torch there would shine straight back at it.

Practice it ↓

Practice

Three boards that can’t be finished without Torches can't see each other.

Torches can't see each other · practice 1 of 30/0 rooms lit

Finish "3" on an edge, "2" in a corner to unlock this practice.

Go to "3" on an edge, "2" in a corner

Tap a room to cycle: empty → X (mark) → torch → empty. Marking first is how the deductions work.

All steps · ← "3" on an edge, "2" in a corner · The last dark room → · Play Crownlight →