Tiling a Hex-Convex Polyhex with a Polyhex

The only convex polyhex is the monohex. Call a polyhex hex-convex if the line connecting the centers of any two of its cells lies wholly in the interior of the polyhex.

Here I show the smallest hex-convex polyhex that can be tiled with a given polyhex with from 1 to 7 cells. The minimal tilings shown are not necessarily uniquely minimal. Polyhexes not shown have no known solution.