Friday, August 8, 2014

Spiral of Spirals

Spirals (green, magenta) around a Spiral Dodecaskelion (grey)

(GIF animation)

A spiral of spirals of spirals.
The spirals are logarithmic spirals: r(θ) = a exp(bθ), b = 0.2.

Spirals of spirals of spirals of ..... (b = 0.2)


A spiral of spirals of spirals.
The spirals are logarithmic spirals with b = 0.30635.

Spirals of spirals of spirals of ..... (b = 0.30635)


Logarithmic spirals
The pair of big spirals: b = 0.1
The small spirals: b = 0.2

The small logarithmic spirals: b = 0.5

The small logarithmic spirals: b = 0.2, 0.5

The small logarithmic spirals: b = 0.5, 0.8


The spirals are Archimedean spirals.
Small spirals: 1 < number of spiral turns < 2

The spirals are Archimedean spirals.
Small spirals: 2 < number of spiral turns < 3


( Mathematical softwares used: GeoGebra, gnuplot )

1 comment:

  1. Whats the code for plotting the above spiral of spiral.

    ReplyDelete