Everything about Golden Angle totally explained
In
geometry, the
golden angle is the smaller of the two
angles created by sectioning the circumference of a circle according to the
golden section; that is, into two
arcs such that the ratio of the length of the larger arc to the smaller is the same as the ratio of the full circumference to the larger.
Algebraically, let
c be the circumference of a
circle, divided into a longer arc of length
a and a smaller arc of length
b such that
»
and
»
This is equivalent to saying that
golden angles can fit in a circle.
The fraction of a circle occupied by the golden angle is therefore:
»
The golden angle
g can therefore be numerically approximated in degrees as:
»
or in radians as:
»
Golden angle in nature
The golden angle plays a significant role in the theory of
phyllotaxis. Perhaps most notably, the golden angle is the angle separating the
florets on a
sunflower.
Further Information
Get more info on 'Golden Angle'.
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