Game development

Tiled isometric coordinates

Convert between diamond-grid tile coordinates and screen positions.

Your inputs

Start with an example

Example result

Screen x = (tile x − tile y) × width/2; screen y = (tile x + tile y) × height/2. The inverse returns fractional tile coordinates.

Tile (2,1) with 64×32 tiles maps to (32,48).

Uses a diamond grid with origin (0,0). Add your map/layer origin separately. Staggered and hexagonal maps are excluded.