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To perform continuous rotation of a hexagon about an arbitrary point ((x_0, y_0)), the following steps and algorithm can be used: 1. Translate the hexagon so that the rotation point coincides with the origin: For each vertex ((x, y)) of the hexagon, apply translation: [ x' = x - x_0, \quad y' = y - y_0 ] 2. Apply rotation about the origin: For a rotation angle (\theta), the rotated coordinates are: [ x_r = x'\cos\theta - y'\sin\theta, \quad y_r = x'\sin\theta + y'\cos\theta ] 3. Translate the rotated hexagon back to the original reference ___ _________ _______ ____ _________ _________ ________.
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