# random_walk_3d_simulation

random_walk_3d_simulation, a MATLAB code which simulates a random walk in a 3D region.

The code RANDOM_WALK_3D_SIMULATION() plots averaged data for any number of random walks that each use the same number of steps. The data plotted is the average and maximum of the distance squared at each time step. The average distance squared should behave like the number of time steps.

### Usage:

random_walk_3d_simulation ( step_num, walk_num )
where
• step_num is the number of steps to take. 500 might be a typical value.
• walk_num is the number of random walks to take. The data that is plotted comes from the average over all these walks.

### Languages:

random_walk_3d_simulation is available in a MATLAB version.

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### Reference:

1. Martin Gardner,
The Mathematical Circus,
Mathematics Association of America, 1996,
ISBN13: 978-0883855065,
LC: QA95.G287.
2. Ian Stewart,
"Repealing the Law of Averages",
Scientific American,
Volume 278, Number 4, April 1998, pages 102-104.

### Source Code:

Last revised on 11 March 2019.