The New York Times online Games section has a daily puzzle called Vertex

The player is faced with an array of numbered dots and connects them with segments.

How to play

• Draw lines between points to create triangles.
• Connect vertices to create triangles and assemble an image.
• The number on a vertex shows its remaining connections.
• Triangles will fill in if they are correct.
• Double tap a vertex to clear its connections.

I should add that the finished puzzle is a connected network of triangles and every segment is part of a triangle.

Question: is a solvable Vertex puzzle guaranteed to have a unique solution?

Puzzle designers often take care to ensure that their puzzles have only one solution, both to make them more satisfying for solvers and to avoid confusion or frustration if multiple fnf solutions are possible. Therefore, while a Vertex puzzle may theoretically have multiple solutions, it is unlikely that a solvable puzzle in the New York Times' Vertex section will have more than one correct solution.

Posted by Charlie Jone on 2023-04-24 21:43:18