Hi. I am a GCSE student and I am interested in Maths.
I read few books on maths and learned some mathematical analysis.
I know of convergent series but I would like to know how identical sets(not points) cover a given space.
I've put a link to Escher's painting as an example; I think it is a good example of tessellation and union of sequences of sets that are identical or similar. I think tessellation can be described in terms of sets but I can't just come out with one.
I would like a definition that satisfies the following:
1) describe an intuitive tessellation
2) describe tessellation of regular hexagons or triangles on R2(in other words, I want the definition of tessellation to describe a 'tile' covering an infinite unbounded space).