Fill every square with a single diagonal so each numbered dot touches exactly that many lines, and no loop ever closes.
Slant is a logic puzzle played on a grid bordered by a lattice of dots. Every cell must hold one diagonal line, either a backslash or a forward slash. Some dots carry a number telling you exactly how many of the diagonals touching that dot must point at it. Satisfy every numbered clue, fill all cells, and make sure no diagonals ever form a closed loop.
Published by Nikoli as Gokigen Naname, this is a binary-determination puzzle: every cell takes one of exactly two states, a diagonal leaning one way or the other, and the entire difficulty comes from how those choices interact.
The numbers sit on the intersections rather than in the cells, each one counting the diagonals that touch it. The second rule is the constraint that gives the puzzle its shape — the diagonals may never close into a loop.
That one prohibition separates it from its neighbours. Unlike Hashiwokakero and several other Nikoli designs, there is no requirement that the lines form a single connected network; they must merely never come full circle.
Slant is a pencil-and-paper style logic puzzle in the tradition of Japanese grid deduction games. This is an original, free browser version with multiple sizes, daily puzzles, and endless practice, no download or sign-up required.