Mathematica(@mathemetica):Hamilton carved i² = j² = k² = ijk = −1 into Broom Bridge in 1843. Quaternions extend the complex plane into four dimensions and encode 3D rotations without gimbal lock. Graphics engines, robots, spacecraft and VR headsets all rely on them to stay oriented. Abstract algebra now keeps the physical world from tumbling.

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Mathematica@mathemetica

2026.08.26 16:48

Hamilton carved i² = j² = k² = ijk = −1 into Broom Bridge in 1843. Quaternions extend the complex plane into four dimensions and encode 3D rotations without gimbal lock. Graphics engines, robots, spacecraft and VR headsets all rely on them to stay oriented. Abstract algebra now keeps the physical world from tumbling.