Vector Field Socks
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.
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Shipping & Returns
Vector Field Socks
Vector Field Socks
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.
Product Information
Product Information
Shipping & Returns
Shipping & Returns
Description
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.
