generalisations can emerge

and created patterns can be justified

- it is simple to experiment, and record (dotty paper is better than squared)
- you can appreciate why longer diagonal lines don't seem to help
- it is helpful to have a regular pattern, sometimes symmetrical, as the length increases
- people can have different routine patterns and these can be compared
- number patterns are created from a diagram so any justifications can relate to the pictures
- odd and even 'n' numbers need to be considered - as is often the case
- you can question how confident people are that their pattern will continue to give the 'maxagon'
- there are obvious depth (proof) and breadth (e.g. angle sums as well as other widths) extensions

the 36 sided maxagon for a 6 by 6 grid

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