# Calabi-Yau Space

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

In one version of a consistent string theory, the strings must live in a 10-dimensional spacetime. Since human physical experience appears to be that of four-dimensional spacetime (three space dimensions plus time), it is presumed that if 10-dimensional string theory is correct, there must be six additional dimensions that are curled up into complicated undetectably small shapes at the Planck scale known as Calabi-Yau spaces. Every point in spacetime would therefore possess six additional dimensions whose topology is described by a Calabi-Yau space, of which there are a large number of possibilities.

[more]
Contributed by: Andrew J. Hanson (March 2011)

Additional contributions by: Jeff Bryant

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

For details on the surface, the color coding, and the mathematics involved, see A. J. Hanson's page.

A. J. Hanson, "A Construction for Computer Visualization of Certain Complex Curves," in "Computers and Mathematics" column, K. Devlin, ed., *Notices of the American Mathematical Society*, 41(9), 1994 pp. 1156–1163.

## Permanent Citation

"Calabi-Yau Space"

http://demonstrations.wolfram.com/CalabiYauSpace/

Wolfram Demonstrations Project

Published: March 7 2011