# Tiling a Triangle with a Scaled Polyiamond

When can a polyiamond at various scales tile a triangle?
Here I show some minimal tilings of triangles by scaled copies of a polyiamond.
Please write if you know of other such tilings.
Every triangular polyiamond has an imbalance of cells pointing up
and cells pointing down.
Thus any polyiamond whose cell parity balances cannot tile a triangle.

Here I show the solution with the fewest known tiles for each polyiamond.
In the figures below, the numbers are the side of the triangle and the
number of tiles used.

See also Tiling a Triangle with a
Polyiamond.

## Moniamond

## Triamond

## Tetriamonds

## Pentiamonds

## Hexiamonds

## Heptiamonds

## Octiamonds

## Enneiamonds

## Dekiamonds

## Hendekiamonds

## Dodekiamonds

*Last revised 2024-06-01.*

Back to Polyiamond and Polyming Tiling
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Col. George Sicherman
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