Tag Archives: spiral

Calculating Logarithmic Spiral with Constant Arc Length

What is a logarithmic spiral? How is it different from Archimedean spiral?

In an Archimedean spiral, the distances of intersection points along a line that goes through the origin of the spiral are constant. An illustration of an Archimedean spiral follows:

Archimedean Spiral
An archimedean spiral. Source: http://faculty.nps.edu/ncrowe/spie10.htm

Whereas in a logarithmic spiral, the distances of intersection points along a line that goes through the origin of the spiral are growing exponentially. An illustration of a logarithmic follows:

Logarithmic Spiral
A logarithmic spiral. Source: https://sites.google.com/site/conchshellphysicalmodel/home

Continue reading Calculating Logarithmic Spiral with Constant Arc Length