# Tiling

Which shapes tile the plane?

- Equilateral triangles
- Squares
- Any rep-tile
- If shape \(A\) has been proven to tile the plane, and shape \(B\) tiles \(A,\) then \(B\) tiles the plane.
- Any hexagon whose opposite sides are parallel and congruent (that is, any hexagonal parallelogon) will tessellate the plane by translation.

## Rep-tiles

- Any rectangle
- Any triangle
- Any pentomino that tiles a rectangle
- The P-pentomino
- The sphinx