Rémi Coulon

This artwork shows a configuration of Desargues' theorem drawn on a Boy surface. Gerard Desargues is a 17th century mathematician, whose work laid the foundations for projective geometry. The theorem named after him describes the incidence structure of two triangles in the projective plane. At the beginning of the 20th century, Werner Boy discovered an immersion of the projective plane into $\mathbb R^3$, now known as the Boy surface. This artwork builds a bridge over 300 years of mathematics. The white structure corresponds to the Boy surface, on which are drawn two triangles (in blue and purple) satisfying Desargues' theorem: the yellow lines meet at the center of perspectivity while the brown line is the axis of perspectivity