Calabi-Yau manifolds are complex geometrical spaces studied in mathematics and physics. Such manifolds hide the unseen mathematical dimensions of string theory (beyond the usual three dimensions of our everyday world). Studies of Calabi-Yau manifolds have elucidated the unexpected correspondence between seemingly unrelated space-times: Different Calabi-Yau manifolds described by different quantum theories turn out to encode the same physics.
Image: Copyright (c) Jean-François Colonna, 2001-2015. Copyright (c) France Telecom R&D and CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2001-2015. Used with permission.