Polyhex Ragged Frame Tilings

Introduction

A polyhex can have the form of a regular hexagon in three ways:

I call these types of hexagons smooth, sharp ragged, and blunt ragged, from left to right.

A polyhex frame is a regular hexagonal polyhex with a centered regular hexagonal hole. Here I show the smallest ragged regular hexagonal polyhex frames that can be tiled by each polyhex with up to 6 cells. Polyhexes not shown are not known to be able to tile such frames.

If you find a smaller solution or solve an unsolved case, please write.