This paper examines why many flowers are five-petaled through the use of a five-petaled model that draws insights from the location of cell clusters at a shoot apex, rather than by way of the Fibonacci sequence or the golden ratio as in the past. The conclusion drawn is that flowers are most likely to be five-petaled, followed by six-petaled; four petals are unstable and almost no flower can be seven-petaled.
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Nishiyama, Y. Why Is a Flower Five-Petaled?. Journal of Science Education and Technology 13, 107–114 (2004). https://doi.org/10.1023/B:JOST.0000019643.64505.88