A black sock with spiraling white lines and red, yellow, green, and blue arrows on an axis - from 3Blue1Brown.
A black sock with spiraling white lines and red, yellow, green, and blue arrows on an axis - from 3Blue1Brown.

Vector Field Socks

By: 3Blue1Brown

Regular price $12.56 Sale

Based on this video:

A classic example for student of differential equations is the non-linear pendulum. These socks illustrate what's known as the "phase space" of that system (see the video above), but represented on a cylinder, which is much more natural than most other diagrams you'll find.
One axis represents the angle of the pendulum, and the other represents angular velocity.  But that angle is cyclic; rotating the pendulum 360 degrees doesn't change how it looks.  So the most honest phase space of this pendulum should have this x-axis wrapping round onto itself, as it does on these socks.
The white spiral in this diagram shows a typical trajectory for a pendulum, slowly rotating back and forth as it looses energy and tends towards a state where the angle and angular velocity are both zero.

Each order comes with one pair of socks.

Size Medium fits women's shoe sizes 6 to 9.5.

Size Large fits men's shoe sizes 8 to 12.5. 

About 60% cotton, 35% nylon, 5% spandex

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