Some Algebra of Dimensions

Dimensions of Projections

First, we investigate typical projections of Euclidean objects. We observe a conservation of dimension:
    dim(projection) + dim(what projects to a point) = dim(object)
Next we observe that this rule is violated for some projections of fractal graphs.
Here are some more general results on projections of fractals.
A surprising application is that a digital sundial is possible. In fact, they've been built.

Return to the algebra of dimensions.