# Moser Spindles, Golomb Graphs and Root 33

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If the plane is divided into colors, what is the least such that any two points a unit distance apart have different colors? This is the unsolved Hadwiger–Nelson problem, whose answer is 4, 5, 6 or 7 colors.

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Contributed by: Ed Pegg Jr (December 2017)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

Not all unit distance 4-chromatic graphs are in . For example, Hochberg–O'Donnell's fish graph has vertices that rely on polynomials of degree 12. An exact solution can be found at the end of the Initialization section.

## Permanent Citation