One lonely view won't do it!

Blueprints require at least three views. . .

before complex objects become understandable.

 

Furthermore:

Dimensionality is not limited to spatial dimensions.  Color perception, for example, could be any number of dimensions, from one (total colorblindness) to infinity (spectroscopic color).  Normal human color perception is three-dimensional.  Normal bird color perception has a higher dimensionality.

Visualizing dimension higher than three is a challenge, but it is possible.
A thermometer gives one-dimensional information. Blueprints and maps ordinarily give two-dimensional information. However, blueprints convey the third dimension by showing different views.  Maps can give three-dimensional information with shaded relief or with contour lines.
We usually plot three-dimensional data on a simple three cooridnate system:  an "x" - "y" - "z" system of three axes all at right angles to each other.  (They are orthogonal.)
These are the familiar "x," "y," and "z" axes.

If we have a fourth independent component to add to the other three, we can plot it like this:
Each position on the yellow line through the origins represents a value of the fourth variable.

To add a fifth component, we repeat the process.  The entire line of three-dimensional axes is repeated at right angles, like this:
This process can be repeated indefinitely.  As the number of dimensions gets very large, it begins to look, Mandelbrot set-like, like a fractal.  It keeps showing similar detail as we enlarge any portion to see greater detail.

Man's most powerful problem-solving tools:

Dimensionality (degrees of freedom) and its related mathematics is one of these tools.  Many modern science concepts require at least a little understanding of dimensionality.  This is understanding which can lead to some powerful tools.  It's part of the skeletal infrastructure of modern science.

Now, let's . . . Abstract it!