In 1843 the Irish mathematician Hamilton had long been mulling over the problem of how to multiply in 3D space. Whilst walking from Dunsink Observatory to the Royal Irish Academy, in a moment of sudden realisation and least he forget it, he inscribed the formula for Quaternion multiplication on Broom Bridge.

This act of mathematical vandalism was first described to me by an old school friend (now a mathematician), in her search for Broom Bridge as a site of mathematical pilgrimage.

The equation formed a type of bridge in modern mathematics between algebra and geometry.

This installation and film is a quest to try to understand the equation and map that process.

With thanks to Prof Luke Drury, Dubln Institute for advanced Studies & Dunsink Observatory, Dr. Áine McManus & Dr. Peter Kootsookos. Supported by RIAD, University of Ulster