Convex Polygons From Pairs of Scaled Polyiamonds

Given two polyiamonds that may be scaled up, how few copies of them 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 polygons formed by pairs of scaled polyiamonds with 1 through 7 cells. If you find a smaller solution or solve an unsolved case, please write.

Carl Schwenke and Johann Schwenke found many new and improved solutions.

See also Convex Polygons from Pairs of Polyiamonds.

Index

Cells1234567
2@
3@@
4@@@@
5@@@@@
6@@@@@>
7@@@@@>>

Moniamond and Diamond

Moniamond and Triamond

Diamond and Triamond

Moniamond and Tetriamonds

Diamond and Tetriamonds

Triamond and Tetriamonds

Tetriamonds and Tetriamonds

Moniamond and Pentiamonds

Diamond and Pentiamonds

Triamond and Pentiamonds

Tetriamonds and Pentiamonds

Pentiamonds and Pentiamonds

Moniamond and Hexiamonds

Diamond and Hexiamonds

Triamond and Hexiamonds

Tetriamonds and Hexiamonds

Pentiamonds and Hexiamonds

Moniamond and Heptiamonds

Diamond and Heptiamonds

Triamond and Heptiamonds

Tetriamonds and Heptiamonds

Pentiamonds and Heptiamonds

Last revised 2025-11-03.


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Col. George Sicherman [ HOME | MAIL ]