# divisibility.wordpress.com

## math blog

How to visualize $2n$ dimensional space:

Basically, draw two copies of the $n$-dimensional space. Points in $2n2$ dimensional space will consist of doubles $(x,y)$ and there will be $2n$ basis vectors. The $n$ of the basis vectors will move both points in the $n$ absolute directions, and the other $n$ basis vectors will move one point in one of the $n$ directions while holding the other fixed. For example, $R^4$ can be visualized as lines between two parallel planes and $R^6$ can be visualized as vectors starting from points in $R^3$. If we include time as a dimensional, these give us an easy way to visualize up to $7$ dimensional space.