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All 113 and 123-configurations are rational (1990)

Sturmfels, Bernd ; White, Neil

Springer

Aequationes mathematicae 39 (1990), S. 254-260

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ISSN: 1420-8903

Keywords: Primary 51A20 ; Secondary 11Y50, 05B30, 68Q40

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01833153

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