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cond-mat.mtrl-sci2026
The crossmetric tensor and the geometrical meaning of the imaginary numbers
Cyril Cayron
The product of two Cartesian quaternions can be written as a quadratic form based on a 4x4 matrix made of the symbols 1,i,j,k where i,j,k are imaginary numbers introduced by Hamilt…
cond-mat.mtrl-sci2026
The crystallographic quaternions and their product law
Cyril Cayron
Unit quaternions are widely used in science to encode rotations because the quaternion product is more efficient than matrix product and more stable than Rodrigues product to calcu…