Gokigen Naname

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A solved Gokigen Naname puzzle Gokigen solved.svg
A solved Gokigen Naname puzzle

Gokigen Naname, also known as Slant, [1] is a binary-determination logic puzzle published by Nikoli. [2]

Contents

Rules

Gokigen Naname is played on a rectangular grid in which numbers in circles appear at some of the intersections on the grid.

The object is to draw diagonal lines in each cell of the grid, such that the number in each circle equals the number of lines extending from that circle. Additionally, it is forbidden for the diagonal lines to form an enclosed loop. Unlike many of Nikoli's similar puzzles, such as Hashiwokakero, a single network of lines is not required.

Solution methods

Deductions easy to spot

Easy to spot: middle 4, corners 0 or 1, edges 0 or 2. Slant-easy-to-spot-fix.svg
Easy to spot: middle 4, corners 0 or 1, edges 0 or 2.

Deductions from single numbers

Deduction from a single number. Red and blue patterns imply each other. Deduction-for-single.svg
Deduction from a single number. Red and blue patterns imply each other.

Deductions from two numbers

Deductions for two numbers. Gokigen-deduction for two numbers-v2.svg
Deductions for two numbers.

Combining techniques

Combining solving techniques. Gokigen naname-combining techniques-v3.svg
Combining solving techniques.

Deductions to avoid closed paths

Deductions avoiding to close a path. Avoid-closed-paths-v4.svg
Deductions avoiding to close a path.

See also

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References

  1. "Slant - Simon Tatham's Puzzle Collection". www.chiark.greenend.org.uk. Retrieved 2021-07-10.
  2. David J. Bodycombe (4 December 2007). The Riddles of the Sphinx: And the Puzzles, Word Games, Brainteasers, Conundrums, Quizzes, Mysteries, Codes and Ciphers That Have Baffled, Entertained and Confused the World Over the Last 100 Years. Penguin Group USA. ISBN   978-0-14-311275-4 . Retrieved 14 August 2013.