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Figure 1
Transformation of half-spaces (two-dimensional projections on the x1 x2 plane). Upper panel: half-space [\pi_+] and objects defining it; its normal covector [{\bf n}] and point [{\bf p}]. Center panel: transforming [{\bf n}] as a covector (CORRECT). Lower panel: transforming [{\bf n}] as a vector (WRONG, because the image of [{\bf n}] is no longer orthogonal to the image of [\pi]).

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ISSN: 2053-2733
Volume 60| Part 6| November 2004| Pages 542-549
https://doi.org/10.1107/S0108767304017398
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