Tiling a Polyiamond with Scaled Q Pentiamonds

Introduction

The Q pentiamond at various scales can tile any polyiamond. Given a polyiamond, how few scaled copies of the Q pentiamond can tile it?

Here I show minimal known tilings of polyiamonds with 1–7 cells. Polyiamonds that can be formed by scaling up smaller polyiamonds are not shown. If you find a smaller solution, please write.

Navigation

  • Moniamond
  • Diamond
  • Triamond
  • Tetriamonds
  • Pentiamonds
  • Hexiamonds
  • Heptiamonds
  • Moniamond

    Diamond

    Triamond

    Tetriamonds

    Pentiamonds

    Andrew Bayly found the irreptiling.

    Last revised 2025-11-12.


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    Col. George Sicherman [ HOME | MAIL ]