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I have compete prototype of Robot Joints simulator using matplotlib and some geometric transformations 

How Element Rotation works

  • Matrix rotation is a way to rotate points or vectors in space using linear algebra. Instead of moving each point manually, you multiply it by a rotation matrix, which encodes the rotation angle and axis.

  • 2D rotation:
    For a point (x,y)(x, y) rotated by angle θ\theta around the origin:
    3D rotation:
    In 3D, you rotate around an axis (X, Y, or Z) using a 3×3 rotation matrix. For example, around Z-axis:

  • If we want to rotate some object we will just multiply array of its points on our matrix.