Explore Rigid Body Transformations Visually

Transform 3D objects by translating and rotating them in space. See the changes in real-time with our interactive tool.

Input Parameters

Define the object, translation, and rotation to see the transformation.

Object (3D Points):

Enter a JSON array of 3D points.

Translation Vector:

Specify the translation in x, y, and z directions.

Rotation Axis:

Define the axis around which to rotate.

Rotation Angle (°):

Enter the rotation angle in degrees.

Transformed Object (JSON)

3D Visualization

Interact with the 3D plot to explore the original (blue) and transformed (red) objects.

About Rigid Body Transformation

Rigid Body Transformation refers to the movement of an object in space without changing its shape or size. It typically involves two basic operations: translation and rotation. Translation shifts every point of the object by the same distance in a given direction. Rotation turns the object around a specified axis. Combining these transformations allows for complex movements of objects, which is fundamental in fields like robotics, computer graphics, and physics. This tool helps visualize and calculate these transformations, making it easier to understand their effects.