Tiling lab

Can every shape tile a floor?

Now the board shows two grids at once. The blue square grid helps squares. The pink triangular grid helps triangles and hexagons. Vertices snap to grid intersections, so you can line up edges precisely.

1. Choose a tile
blue grid → squares pink grid → triangles & hexagons
2. Add and arrange copies
Squares rotate in 90° steps. Triangles and hexagons rotate in 60° steps. Other shapes rotate in 15° steps.
Try these experiments:

Can you cover part of the board using only squares? only triangles? only hexagons? Which shapes leave gaps, and which ones fit together?