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This 180-year-old graffiti scribble was actually an equation that changed the history of mathematics

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i = j = k = ijk = 1 is the most famous graffiti in mathematical history.

The Irish mathematician William Rowan Hamilton carved it on Dublin 's Broome Bridge in 1843 .

He was inspired by a remarkable way of representing two -dimensional rotations.

Hamilton 's revelation changed the way mathematicians represent information in 3D space.

Robyn Arianrhod is a science writer and a mathematician affiliated with Monash University’s School of Mathematics , where she researches general relativity and history of science.

In recognition of Hamilton 's achievements, maths buffs retrace his famous walk every October 16 to celebrate Hamilton Day .

He would be over the moon that vectors are so widely used today , and that they can represent digital as well as physical information.