# Diabolo-Tetrabolo Compatibility

## Introduction

A *diabolo* is a figure made of two equal isosceles right
triangles joined at equal edges.
There are 3 such figures, not distinguishing reflections and rotations.
A *tetrabolo* is a figure made of four equal isosceles right
triangles joined at equal edges.
There are 14 such figures, not distinguishing reflections and rotations.
Here are minimal compatibility figures for diaboloes and tetraboloes.
Not all are uniquely minimal.

## Summary

### Diabolo Numbers

### Tetrabolo Numbers

### Table

| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 |

1 | 1 2 | × | 4 8 | × | × | 4 8 | × | × | × | 4 8 | × | × | × | 2 4 |

2 | × | × | 2 4 | 1 2 | 1 2 | 2 4 | 2 4 | × | 1 2 | 4 8 | × | 2 4 | 1 2 | 2 4 |

3 | 2 4 | 4 8 | 2 4 | × | 1 2 | 2 4 | 2 4 | 1 2 | 2 4 | 4 8 | 1 2 | 2 4 | 2 4 | 1 2 |

## Solutions

All solutions are minimal.
Few are uniquely minimal.

Last revised 2015-04-11.

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Polyform Curiosities

Col. George Sicherman
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