Logarithmic Spiral Beaches - Logarithmic Spiral Function

Logarithmic Spiral Function

The logarithmic spiral can be determined using the equation (written in polar coordinates):

r = eθcotα

where:

θ = the angle of rotation, is located between two lines drawn from the origin to any two points on the spiral.

r = the ratio of the lengths between two lines that extend out from the origin. The two lines are given as RO and R. So r also equals the ratio R/RO.

α = the angle between any line R from the origin and the line tangent to the spiral which is at the point where line R intersects the spiral. α is a constant for any given logarithmic spiral.

Read more about this topic:  Logarithmic Spiral Beaches

Famous quotes containing the words spiral and/or function:

    What is art,
    But life upon the larger scale, the higher,
    When, graduating up in a spiral line
    Of still expanding and ascending gyres,
    It pushes toward the intense significance
    Of all things, hungry for the Infinite?
    Art’s life,—and where we live, we suffer and toil.
    Elizabeth Barrett Browning (1806–1861)

    To make us feel small in the right way is a function of art; men can only make us feel small in the wrong way.
    —E.M. (Edward Morgan)