Line Path· Advanced

Goal

Draw a path from the start to the end, satisfying all symbol constraints (dots, color separation, triangles).

Rules

●● Dot symbol: the path must pass through this edge
■■ Color separation: When the path divides the grid into regions, no region may contain both black and white squares together. A single color (even just 1 square) passes — the rule fails only when black and white mix in the same region
▲▲ Triangle: the number of path edges touching this cell must exactly match the triangle count
The path cannot cross or overlap itself

How to Play

Tip

Start with dot symbols — those edges are guaranteed to be part of the path
Count the triangles first. One triangle means only one edge of the cell is on the path; three means three edges
Color separation is a 'fence' — put black and white squares on opposite sides of the path

Spatial reasoning puzzles train visuospatial working memory and path planning. Mental rotation and spatial transformation training show transfer effects to math and science learning.

Shepard & Metzler (1971) Mental rotation of three-dimensional objects, Science; Newcombe (2010) Picture This: Increasing Math and Science Learning by Improving Spatial Thinking, American Educator