Polyominoes

Introduction

Polyominoes are the shapes made by connecting squares edge to edge. But I assume you already know that seeing as you're on a website called 'polyominoes.co.uk'. If you're not, go check like The Poly Pages or somewhere for the grisly deets.

Eventually all the bullet points below will be links to pages, but I'm lazy so right now they're just there, teasing what could be.

General polyomino stuff

Polyominoes 101: The absolute basics
A guide to manually solving large polyomino constructions
Polyomino/polyform software on the web - a handy guide

Tetrominoes

Pentominoes

Hexominoes

Rectangles
Hexagons
Misc. Shapes
15x15 with 15 holes
Combining the Hexominoes and Pentominoes
One Sided Hexominoes
Subsets of the Hexominoes

Heptominoes

First Steps - a few really early solutions from back in 2018/2019.
More Heptominoes
Congruent Rectangles - Coming soon
29x29 Square with crenelated edges - a needlessly in-depth run-through of the solution process.
A Great Britain Map made of Heptominoes (August 2021)
One Sided Heptominoes

Octominoes

First success with Octominoes: A 20x148 rectangle solved in MS Paint
The Hall of Shame - Failed constructions
A 40x74 rectangle and a new set of actual, physical pieces
A 34x87 rectangle
55x55 Truncated Square (with 13 central holes)
Nine 15x22 Rectangles
Nine 9x37 Rectangles (with help from Patrick Hamlyn)