Information on Heesch tiling can be found here… https://en.wikipedia.org/wiki/Heesch%27s_problem

The examples I found, were drawn up in VectorEngineer Quick-Tools with the aid of a grid (regular hexagons connected point to point). I used Jasc PaintShop Pro V.7 to make them look pretty.

Here are the shapes that I decided upon. Numbers inside denote number of sides.

Heesch number 4

Heesch number 5

Heesch number 5