# Minimal Convex Polyiamond Tilings

Given a polyiamond, how few copies of it can be joined to form a convex
shape?
Such a shape must be a triangle, quadrilateral, pentagon, or hexagon.
Here I show minimal known convex tilings for polyiamonds with up through
9 cells. If you find a smaller solution or solve an unsolved case,
please write.

At Math Magic for April 1999,
Erich Friedman considers for various plane shapes
the set of values of *n* for which *n* copies of the shape
can form a convex shape.
Ed Pegg Jr. also considers this problem at Dissections of Convex
Figures.

See also Convex Polygons
from Pairs of Polyiamonds.

[ Diamond
| Triamond
| Tetriamonds
| Pentiamonds
| Hexiamonds
| Heptiamonds
| Octiamonds
| Enneiamonds
]

### Impossible

### Impossible

*Last revised 2018-06-25.*

Back to Polyform Tiling
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Polyform Curiosities

Col. George Sicherman
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