# Listing's Law

Requires a Wolfram Notebook System

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

Listing's law: all eye rotations are such that they are rotations around an axis orthogonal to the primary gaze direction*. *Mathematically, this means the space of all eye rotations *LIST* is a subset of the special orthogonal group SO(3).

Contributed by: Michael Trott (October 2007)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

The geodesic equations in the space *LIST* (parameterized by the angles and of a spherical coordinate system) are

A. D. Polpitiya, W. P. Dayawansa, C. F. Martin, and B. K. Ghosh , "Geometry and Control of Human Eye Movements," *IEEE Transactions on Automatic Control*, 52(2), 2007 pp. 170–180.

## Permanent Citation