Isometric Transformation Tool

Visualize and perform isometric transformations on geometric objects. Explore the effects of rotation and translation in 2D space.

Input Parameters

Define the geometric object, rotation matrix, and translation vector to perform the isometric transformation.

Geometric Object

Enter object vertices as a 2D array (JSON format).

Rotation Matrix

Enter a 2x2 rotation matrix (JSON format).

Translation Vector

Enter a 2D translation vector (JSON format).

Transformed Object Data

Transformation Visualization

Understanding Isometric Transformations

Isometric transformations, also known as rigid transformations, are geometric operations that preserve distances and angles between points. This tool focuses on transformations in 2D space, combining two fundamental types:

Translation: Shifting every point of an object by a constant vector. It's like moving the object without rotating or resizing it.
Rotation: Turning an object around a fixed point (origin in this case). Defined by a rotation matrix, it changes the orientation of the object.

Together, these transformations are crucial in various fields like computer graphics, robotics, and physics for manipulating and analyzing shapes while maintaining their essential geometric properties. Use this tool to input your object, rotation matrix, and translation vector to see the transformation visually and numerically.

Learn more about isometric transformations on resources like Wikipedia.