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Matematiklوrerdag 2008 - Institut for Matematik - Aarhus Universitet

Matematiklوrerdag 2008 - Institut for Matematik - Aarhus Universitet

Matematiklوrerdag 2008 - Institut for Matematik - Aarhus Universitet

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Symmetri- og punktgrupperEn gruppe G af symmetrier f kaldes <strong>for</strong> en punkt-gruppe når derfindes et punkt x 0 ∈ R n såf (x 0 ) = x 0 ∀f ∈ G.Lad M ⊆ R n være en delmængde. Så erSym(M) = {f : R n → R n : f er en symmetri og f (M) = M}en gruppe - symmetrigruppen <strong>for</strong> M.Klaus Thomsen <strong>Matematik</strong>lærerdag <strong>2008</strong>

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