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Abelegøyer

#38 - Kan et tetraeder bli til en kube?

26 Feb 2024

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I ukens episode hjelper vi en pingvin som har gjort en feilbestilling. Pingvinen har en kubeformet fryser som rommer 100 liter. Den bestiller seg en isblokk på 100 liter, men bestiller ved en feiltakelse en blokk som har form som et tetraeder. Kan pingvinen kutte opp tetraederet i biter og få plass til det i fryseren?  Stikkord: dehn-invarianten, areal, volum, trekanter, firkanter, rektangel, Riemannhypotensen, Hilbert, Wallace-Bolyai-Gerwien-teoremet

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