A pair of simple visualizable, lower-dimensional examples that reproduce features associated with entanglement and complementarity in quantum mechanics will be used to make an intuitive case that quantum phenomena intimate a fundamentally non-spatio-temporal ordering to reality.   The examples (involving fish-tanks and kaleidoscopes) can be understood without any technical knowledge, and the discussion will focus on  questions about individuation and the status of space that should be of interest even to those that have no specific interest in quantum mechanics.