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Abelegøyer

#47 - Kvadrater, summer og et glemt teorem

29 Apr 2024

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Vi lager kvadrater i xy-planet der alle hjørnene har heltallskoordinater (gitterpunkter). Hvilke muligheter er det for arealene til disse kvadratene? Du kan lage kvadrater med arealene 1 og 2, men kan du lage et kvadrat med arealet 3?  Stikkord: fermat, algebraisk geometri, tallteori, trekanter, koordinatsystem

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