Tiling a flat plane using one or more geometric shapes with no overlaps or gaps is known as Tessellation.

Some tessellations are possible if one is allowed to flip or rotate tiles, as is the case with the Triangle, Irregular Pentagon, Kite, Half Regular Hexagon, and Quadrilaterals.

### References

- [wikipedia: Triangle Tiling]
- [wikipedia: Quadrilateral Tiling]
- [wikipedia: Rhombille Tiling]
- [wikipedia: Pentagon Tiling]
- [wikipedia: Cairo Pentagonal]
- [wikipedia: Floret Pentagonal]
- [wikipedia: Prismatic Pentagonal]
- [David Bailey: Escher-like Tessellations]