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. Author manuscript; available in PMC: 2023 May 22.
Published in final edited form as: Math Vis. 2021 Feb 11;2021:3–22. doi: 10.1007/978-3-030-56215-1_1

Fig. 2.

Fig. 2

Three identical (truncated) ellipsoids in R3 with different orientations. The two leftmost ellipsoids can be carried over to each other through a rotation around the (vertical in the figure) z-axis, which implies that they represent the same tensor Rabcd (up to the meaning discussed). The right ellipsoid, despite identical eigenvalues with the two others, represent a different tensor since the rotation which carries this ellipsoid to any of the others is not around the z-axis