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.
See also Pentahex Pair
Hex-Convex Shapes.
Last revised 2025-08-15.
Back to Polyhex Tiling
< Polyform Tiling
< Polyform Curiosities
Col. George Sicherman
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