How to draw 4, 5, 6, 7, dimensional objects.

One point has zero dimensions.
Double the points and you have one dimension.
Double the points again and you have two dimensions.
Double the points again and you have three dimensions.
Double the points yet again and you have four dimensions.
Skeptical?
You're watching this on a flat, two dimensional computer monitor.
In two dimensions, it is not possible to have three axes each of which is 90 degrees to the other two.
Yet we accept this picture as a representation of three dimensions, displayed on a two dimensional monitor.
In three dimensions, it is not possible to have four axes each of which is 90 degrees to the other three.
Yet as with three dimensions on a two dimensional monitor, we can accept that this is a representation of four dimensions.
If your remove any one of the four axes you will go back to three axes, each of which is 90 degrees to the other two.
Therefore, each of the four axes is 90 degrees to each of the other three.
In the same way can a add a fifth, sixth, or seventh axis, each of which is 90 degrees to all the axes that came before it.
Double the points again... and you have five dimensions.
By continuing to double the points, you can add as many dimensions as you want.
Six dimensions.
Seven dimensions.
Therefore, we can draw as many dimensions as we want.



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