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[[Image:Painters_problem.png|right|frame|Cyclic polygons must be eliminated to correctly sort them by depth]]
In that case, Newell's algorithm tests the following:
# Test for Z overlap; implied in the selection of the face {{var|Q}} from the sort list
# The extreme coordinate values in X of the two faces do not overlap ([[minimax]] test in X)
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| title = A characterization of ten hidden-surface algorithms
| volume = 6
| year = 1974| citeseerx = 10.1.1.132.8222 | s2cid = 14222390 }}.
*{{citation
| last1 = Newell | first1 = M. E. | author1-link = Martin Newell (computer scientist)
|