I wanted to know how to create plots like these in MATLAB. I belive they were called herpolhode plots. The image consists of two 3D plots, each displaying a trajectory in a three-dimensional space with axes labeled $\hat{n}_1$, $\hat{n}_2$, and $\hat{n}_3$.### Left Plot:- **Axes**: - $\hat{n}_1$: Ranges approximately from -0.12 to -0.04. - $\hat{n}_2$: Ranges from -0.16 to -0.04. - $\hat{n}_3$: Ranges from -0.14 to -0.11.- **Visualization**: - The plot features a single elliptical loop. - Two vectors are depicted: - A black vector labeled $\omega$ along the loop. - A blue vector labeled $H$ points downward inside the ellipse. - The trajectory suggests a rotational movement in the 3D space as defined by the ellipse.### Right Plot:- **Axes**: - $\hat{n}_1$: Ranges from 0.05 to 0.2. - $\hat{n}_2$: Ranges from -0.15 to 0.2. - $\hat{n}_3$: Ranges from -0.35 to -0.2.- **Visualization**: - This plot contains two elliptical trajectories, both leaning in the 3D space. - There are two vectors: - A black vector along the larger ellipse, labeled $\omega$. - A blue vector labeled $H$ pointing downward, closer to the inner ellipse. - Indicates complex rotational movements involving two ellipses with a shared point or axis.### Legend:- **$\omega$**: Represents the angular velocity, depicted by the black vectors.- **$H$**: Represents the angular momentum, depicted by the blue vectors. This is shown as a dashed blue line, emanating from the origin or a central point and pointing towards $\hat{n}_3$.- **$\omega_0$**: A dot indicating a special or initial state within the plotting space (not explicitly visible in the plot).These visualizations might be used to demonstrate rotational dynamics, illustrating the trajectories and behaviors of systems modeled in three dimensions.

The plots you've provided look like they're depicting the herpolhode of a rotating rigid body, which…

Answered: I wanted to know how to create plots…

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I wanted to know how to create plots like these in MATLAB. I belive they were called herpolhode plots.

Elements Of Electromagnetics

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Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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I wanted to know how to create plots like these in MATLAB. I belive they were called herpolhode plots.

The image consists of two 3D plots, each displaying a trajectory in a three-dimensional space with axes labeled $\hat{n}_1$, $\hat{n}_2$, and $\hat{n}_3$.

### Left Plot:
- **Axes**:
- $\hat{n}_1$: Ranges approximately from -0.12 to -0.04.
- $\hat{n}_2$: Ranges from -0.16 to -0.04.
- $\hat{n}_3$: Ranges from -0.14 to -0.11.

- **Visualization**:
- The plot features a single elliptical loop.
- Two vectors are depicted:
- A black vector labeled $\omega$ along the loop.
- A blue vector labeled $H$ points downward inside the ellipse.
- The trajectory suggests a rotational movement in the 3D space as defined by the ellipse.

### Right Plot:
- **Axes**:
- $\hat{n}_1$: Ranges from 0.05 to 0.2.
- $\hat{n}_2$: Ranges from -0.15 to 0.2.
- $\hat{n}_3$: Ranges from -0.35 to -0.2.

- **Visualization**:
- This plot contains two elliptical trajectories, both leaning in the 3D space.
- There are two vectors:
- A black vector along the larger ellipse, labeled $\omega$.
- A blue vector labeled $H$ pointing downward, closer to the inner ellipse.
- Indicates complex rotational movements involving two ellipses with a shared point or axis.

### Legend:
- **$\omega$**: Represents the angular velocity, depicted by the black vectors.
- **$H$**: Represents the angular momentum, depicted by the blue vectors. This is shown as a dashed blue line, emanating from the origin or a central point and pointing towards $\hat{n}_3$.
- **$\omega_0$**: A dot indicating a special or initial state within the plotting space (not explicitly visible in the plot).

These visualizations might be used to demonstrate rotational dynamics, illustrating the trajectories and behaviors of systems modeled in three dimensions.

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