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Si mostra che disegni simmetrici derivati da quadrangoli generalizzati non isomorfi fra loro sono essi pure non isomorfi, almeno nel caso di quadrangoli aventi in comune certe proprietà astratte con quelli noti. Inoltre, con l'eccezione di una particolare classe di quadrangoli, ogni isomorfismo fra un siffatto disegno ed uno di tipo noto è indotto da un isomorfismo fra i relativi quadrangoli.
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