*This is a part of the series of posts introducing an active research field called Tessellation – The Mathematics of Tiling, discussing some basic, intuitive tiling patterns. Subscribe now (link) to get notified about more posts in coming days!*

## Type 2 Convex Pentagonal Tiling

Type 2 is another one of the five types published by German mathematician Karl Reinhardt in 1918.

**Condition**: c = e;

B + D = 180°

**Sample tile**:

**Primitive units**: 4-tile

**Tiling**:

Teaching Resources / Downloadables

## Puzzles

Note how the tile is constructed in GeoGebra 2D/3D. Try playing around with it!

- How are the constraints applied?
- Does all angles give you convex tile?
- Does all convex tiles obtained there give you a tiling?
- Generate a non-convex tile. Can we tile with it too?

## Extra Reading

- Pentagonal Tiling, Type 2 (Wikipedia)
- Karl Reinhardt (Wikipedia)
- Geogebra.org
- Pentagon Type 2 Tiling (Wolfram | Alpha)
- Interactive Demonstration of Pentagonal Tiling (Wolfram)
- Tiling the Plane with Congruent Pentagons – Doris Schatschneider (MAA)