Logarithmic Spiral
Logarithmic Spiral
The logarithmic spiral is plotted with the origin in red. It can be expressed in polar coordinates as or parametrically as:
r(θ)=a
θ
b
x(θ)=acos(θ)
θ
b
y(θ)=asin(θ)
θ
b
Each small black point represents the spiral's point for a different angle . Specifically, 80 black points are plotted for each completed round (). The big black point represents the "initial point" corresponding to . The big blue point highlights the point for the specific angle selected with the control.
(x(θ),y(θ))
θ
Δθ=2π
θ=0
Select "fixed axes" to restrict the range of in the plot to . Without "fixed axes", the same spiral can be seen resized; the unit line segment along the axis shows the scale.
x
[-1,1]
x