an interesting growing sequence, formed by overlapping two squares, based on one produced by Michael Fenton
different ways of viewing the patterns produces various generalisations
reasons for their equivalence (algebraically) can then be explored
in this case, the 'increases' for each stage can be identified
generalisations can involve quadratic expansions
these are two examples of families of a growing sequence of overlapping squares
what other families are possible?
what might the simplest case look like?