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 ]

Diamond

Triamond

Tetriamonds

Pentiamonds

Hexiamonds

Impossible

Heptiamonds

Impossible

Octiamonds

Enneiamonds

Last revised 2018-06-25.


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Col. George Sicherman [ HOME | MAIL ]