[list][*]Respeita a relação de Euler[/*][*]Em todas as faces apresenta quantidades iguais de arestas[/*][*]Em todos os ângulos poliédricos apresenta quantidades iguais de arestas[/*][/list][br]Platão (427 a. C. – 347 a. C.), filósofo grego, admirador da Geometria.[br][br]Intensificou os estudos nos poliedros regulares de modo que associou quatro deles aos elementos primordiais da natureza: fogo (tetraedro); terra (cubo); ar (octaedro); água (icosaedro). Para Platão, o dodecaedro era o símbolo do universo.[br][br][br][br][img 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[/img]