In algebraic and differential geometry, a Calabi–Yau manifold, also known as a Calabi–Yau space, is a particular type of manifold which has certain properties, such as Ricci flatness, yielding applications in theoretical physics.

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Jan 11, 2014 · known in string theory as the Calabi-Yau quintic. This is an Einstein manifold and a popular candidate for the wrapped-up 6 hidden dimensions of 10-dimensional string theory at the scale of the Planck length.

Here is an interactive visualization of Calabi-Yau manifolds as Fermat hypersurfaces, rendered using Three.js and presented with MathCell: The figure can be rotated by clicking and dragging with a mouse or swiping on a touch device, as well as zoomed in or out with a mouse wheel or pinching on a touch device.

Jun 26, 2019 · Calabi-Yau Manifolds (CYMs) are incredibly intricate geometric structures which have several implications in mathematics and theoretical physics. In particular, CYMs have been utilized in contexts such as superstring theory and in explaining characteristics of higher dimensional spacetime.

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A rendering of a particular slice of a 10-dimensional Calabi-Yau manifold. This image is displayed prominently in the geometry article, the Calabi–Yau manifold article, and the Fermat curve article. It is also used in the string theory article.

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Calabi-yau manifold. Computer artwork of calabi- yau manifolds. These six-dimensional shapes are thought to be the location of the extra six dimensions (on top of the four known to exist) predicted to exist by string theory.