All 113 and 123-configurations are rational |
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| Authors: | Bernd Sturmfels Neil White |
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| Institution: | (1) Department of Mathematics, Cornell University, 14853 Ithaca, NY, USA;(2) Department of Mathematics, University of Florida, 32611 Gainesville, FL, USA |
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| Abstract: | Summary A conjecture of Grünbaum states that everyn
3 -configuration in the real plane can also be realized in the rational plane. We prove this conjecture forn  12 by computing rational coordinates for all 31 types of 113 -configurations and all 228 types of 123- configurations in the classification of Daublebsky.Researc hsupported by the Institute for Mathematics and its Applications, Minneapolis, with funds provided by the National Science Foundation. |
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| Keywords: | Primary 51A20 Secondary 11Y50 05B30 68Q40 |
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