Henri Poincare, Marcel Duchamp and innovation in science and art

In the early years of the twentieth century, the striking scientific develo pments of the period included a great increase in popular and professional attention to non-Euclidean geometry. One of the leading scholars of the sub ject was Henri Poincare, who was also a widely read theorist of the scienti fic discovery process, keenly concerned with the role of the intuition and the subconscious. His writings, and those of this interpreters, could well have increased the appeal of four-dimensional geometry for artists already attracted to the possibilities presented by these concepts. The working not es of one such artist, Marcel Duchamp, record directly his debt to ideas li nked to Poincare--an example of the interaction of greatly different parts of the wider culture.