# Examples

This section contains practical examples demonstrating FastQuat's capabilities.

```{toctree}
:maxdepth: 1
:titlesonly:

1-spherical-cap
2-slerp-animation
```

## Quaternion Rotation and Spherical Cap Visualization

This example shows how to:

* Use `jax.scipy.spatial.transform.Rotation.from_euler` to create rotations
* Convert rotation matrices to quaternions using FastQuat
* Visualize quaternion rotations with spherical caps
* Demonstrate quaternion multiplication for creating compound rotations

## SLERP Visualization on the Unit Sphere

This example demonstrates:

* Spherical Linear Interpolation (SLERP) between quaternions
* Animated visualization of rotation paths on the unit sphere
* Analysis of SLERP's constant angular velocity property
* Generation of smooth rotation animations using SLERP

These examples showcase FastQuat's integration with the scientific Python ecosystem and demonstrate practical applications in 3D graphics and robotics.