18.034 | Spring 2009 | Undergraduate

Honors Differential Equations

Nautilus shell X-ray and logarithmic spiral

Description:

An X-ray of a chambered nautilus shell shows similar properties to the logarithmic spiral which is a graph of a solution of the differential equation dr/d?=br. (X-ray courtesy of C. C. Jones, Union College, Schenectady, NY. “Logarithmic Spiral” courtesy of Eric W. Weisstein, from MathWorld - A Wolfram Web Resource.)

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Nautilus shell X-ray and logarithmic spiral
Alt text:
Nautilus shell X-ray and logarithmic spiral.
Caption:
An X-ray of a chambered nautilus shell shows similar properties to the logarithmic spiral which is a graph of a solution of the differential equation dr/dθ=br. (X-ray courtesy of C. C. Jones, Union College, Schenectady, NY. “Logarithmic Spiral” courtesy of Eric W. Weisstein, from MathWorld - A Wolfram Web Resource.)
Nautilus shell X-ray and logarithmic spiral.

Course Info

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As Taught In
Spring 2009
Learning Resource Types
Problem Sets with Solutions
Lecture Notes
Projects with Examples