One aspect of origami that attracted me is that one's folding is developed from a personal philosophy.
Most folders have a personal set of self-imposed rules which they apply. The rules are modified or changed over time by the individual, perhaps to consider new aspects or in the light of experience.
The purist standpoints are :
These are the strictest rules that can be applied.
I have never used cuts though I acknowledge models which have a single cut that significantly improves a model. A single cut that say saves a half hour of folding can be preferable to the alternative. On the other hand, if many cuts are allowed the result is more likely kirigami than origami.
I have never used glue. A sticking point here? I simply feel that a better way to join the pieces should be possible with a bit more effort.
I favour easily obtained starting paper sizes. I am simply lazy when preparing paper, an outstanding model in an odd paper size will still have my attention though..
I create and fold modular pieces. I therefore acknowledge modular or unit folding. I do not however like multi-piece animals. I marvel at what can be achieved from one piece of paper, but I recognise sensible division. Take for example a horse and knight model. One paper the horse, one paper the knight - OK by me. Two piece horse - not for me, neither two piece knight. One piece horse and knight - OK by me, but it strikes me that knight coloured horses or vice versa might be on the rare side.
The rules are there for everyone to recognise and apply for themselves. I do not impose them on others and I expect others to respect my personal application.
Just as in the film industry, the stronger the rules, the more thought and ingenuity has to be applied to get a good result. The easy way is often not the best route. One obvious spur to creativity is to examine your personal version of these rules in turn and try a modified version of one or more of them. It costs nothing, and it's in private! Later, the original rule can be reapplied and the new model modified accordingly.