All 11 3 and 12 3-configurations are rational.
Aequationes mathematicae, Tome 39 (1990) no. 2-3, pp. 254-260.

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Mots-clés : rational configuration, -configuration
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     author = {Bernd Sturmfels and Neil White},
     title = {All 11 3 and 12 3-configurations are rational.},
     journal = {Aequationes mathematicae},
     pages = {254--260},
     publisher = {mathdoc},
     volume = {39},
     number = {2-3},
     year = {1990},
     zbl = {0712.05019},
     url = {http://geodesic.mathdoc.fr/item/AM2_1990__39_2-3_137354/}
}
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Bernd Sturmfels; Neil White. All 11 3 and 12 3-configurations are rational.. Aequationes mathematicae, Tome 39 (1990) no. 2-3, pp. 254-260. http://geodesic.mathdoc.fr/item/AM2_1990__39_2-3_137354/