Apparently Archimedes was capable of strong mental concentration, and tales are told of his obliviousness to surrounding when engrossed by a problem. typical is the frequently told story of king Hieron's crown and the suspected goldsmith.
it seems king hieron had a gold crown he feared contained hidden silver, and he referred the matter to Archimedes,
who, one day during a bath, hit upon the solution by discovering the firt law of hydrostatics. Forgetting to clothe himself,
he rose from his bath and ran home through the streets shouting, Eureka, Eureka.