# Tiling a Triangle with Scaled Polymings

A *polyming* is a plane figure formed by joining cells in the
equilateral triangle grid at edges or corners.
I except polymings that are also polyiamonds; that is,
polymings whose cells are all joined at edges.
Here I show known tilings of a triangle by scaled polymings that use
the fewest tiles.
If you find a solution with fewer tiles, or solve an unsolved polyming,
please write.

Thanks to Rik Smoody for suggesting an improvement in the text
of this page.

## Dimings

## Trimings

## Tetramings

## Pentamings

The only scaled proper pentaming known to tile a triangle
is this one:

With 8 scaled copies of this pentaming, a straight tetriamond can be formed:

With 1 copy of this tetriamond and 10 copies of the pentaming,
a V tetriamond can be formed:

With 8 scaled copies of the pentaming, a straight hexiamond can be formed:

With one copy of each of these 3 shapes and 15 copies of the pentaming,
a triangle can be formed:

## Hexamings

*Last revised 2024-06-13.*

Back to Polyiamond and Polyming Tiling
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Col. George Sicherman
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