Triangles

An orange or an egg? Determining the shape of the world

Thirty-two years ago the young Nicholas Crane, who would go on to become one of England’s most esteemed television geographers, set out to woo a young woman by spiriting her off to the unfailingly romantic landscape of Chimborazo and Cotopaxi. The couple spent their high-altitude idyll walking the hills in hobnail boots, making river passage in dugout canoes and boarding a Quito-bound steam train through the Andes, run by the estimable Empresa de Ferrocarriles Ecuatorianos. Their journey had its moments: at one stage both parties were to be found at 13,000 feet, crusted with ice and huddled overnight from the gales inside a pair of plastic rubbish bags; they then