# Octiamond Compatibility

## Introduction

A *octiamond* is a figure made of eight equilateral triangles joined
edge to edge.
There are 66 such figures, not distinguishing reflections and rotations.
Dr. Erich Friedman's
Math
Magic for September 2004
shows compatibility figures for polyiamonds up to order 6
(and many other polyforms).
Here I present the smallest known compatibility figures for octiamonds.

Of 2145 pairs of octiamonds, 1494 are known to be compatible.

## 2 Tiles

## 3 Tiles

## 4 Tiles

## 6 Tiles, Part 1

## 6 Tiles, Part 2

## 6 Tiles, Part 3

## 8 Tiles

## 9 Tiles

## 10 Tiles

## 12 Tiles

## 14 Tiles

## 16 Tiles

## 18 Tiles

## 20 Tiles

## 22 Tiles

## 24 Tiles

## 27 Tiles

## 28 Tiles

## 30 Tiles

## 33 Tiles

## 34 Tiles

## 36 Tiles

## 42 Tiles

## 48 Tiles

## 60 Tiles

## 66 Tiles

*Last revised 2015-10-16.*

Back to Pairwise Compatibility
<
Polyform Compatibility
<
Polyform Curiosities

Col. George Sicherman
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