  We examine a particular kind of six-dimensional Cremonian universe featuring
one dimension of space, three dimensions of time and other two dimensions that
can*not* be ranked as either time or space. One of these two, generated by a
one-parametric aggregate of (straight-)lines lying on a quadratic cone, is more
similar to the spatial dimension. The other, represented by a
singly-parametrical set of singular space quartic curves situated on a proper
ruled quadric surface, bears more resemblance to time. Yet, the two dimensions
differ profoundly from both time and space because, although being macroscopic,
they are not accessible to (detectable by) every Cremonian observer. This
toy-model thus demonstrates that there might exist extra-dimensions that need
not necessarily be compactified to remain unobservable.
