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International Electronic Journal of Geometry, vol.16, no.2, pp.680-688, 2023 (ESCI)
Many techniques have been proposed to project the high-dimensional space into a low-dimensional space, one of the most famous methods being principal component analysis. The Klein quadric is a geometric shape defined by a second-degree homogeneous equation. The lines of projective three-space are, via the Klein mapping, in one-to-one correspondence with points of a hyperbolic quadric of the projective 5−space. This paper presents some results on the images under the Klein mapping of the projectice 3−space order of 4 and the fuzzification of the Klein quadric in 5−dimensional projective space.