‘The wonderful thing about such collaborations is that you are never sure where they will take you. As we spent a morning learning the tango, my mathematical eyes couldn’t help seeing a dance full of geometry. Follow the lines drawn on the floor by a tango dancer and there are the arcs of circles and lines that the Ancient Greek geometers used. I found myself performing a tango-inspired dance to bring alive the mathematical construction of a perfect hexagon, surely a first in the history of mathematics and dance. The power of these sorts of dialogues is that they end up pushing everyone’s boundaries in new directions.’