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by Lazur URH - uploaded on January 19, 2017, 2:05 am
Some say that the "golden spiral" can be found all around in the nature, which can be constructed as a Fibonaccy spiral. Contrary I could hardly find any snail shell images with those proportions. This image shows three other logarithmic spirals next to the well known "golden spiral", that I could find way better. One of them has the proportion of the nautilus shell discussed here:https://www.goldennumber.net/nautilus-spiral-golden-ratio/.The other two also have systematic proportions. However the bottom left one has quite a natural look, its proportions were not constructed upon the golden ratio.Mathematical functions are included in the file, if you want to plot them as parametric curvers.