Discovering in the 1830's the predominance of Fibonacci numbers in the number of spirals in plants might have been the first true bio-mathematical work in history. Plants that do not fit that pattern have often be classified as exceptions, belonging to other Fibonacci-like sequences, or just plain ignored. It turns out that many of these patterns can be classified into a general category that our group has called Quasi-symmetric, that exhibit numbers of spirals of the form varying between (n, n), (n, n+1) and sometimes (n, n+2) (e.g. strawberries, corn and many more). In this talk I will show how one can reproduce the dichotomy between Fibonacci and Quasi-symmetric by tuning of a growth parameter in a simple computational dynamical model. I will also show how one can systematically collect and analyze plant data with that dichotomy in mind.