12 diciembre 2006

Cuantas veces se puede doblar un papel?

Supongamos que tenemos un papel tamaño de la hoja de un diario, con un grosor de 0,001 cm. Podría llegar a doblarse 30 veces?.... Que grosor tendría el papel resultante? (pensadlo un rato)

El primer doblez nos dejaría un grosor de 2 milésimas de centímetro, el segundo 4 milésimas (es decir siempre avanzamos en potencias de dos).... El décimo doblez, 2 elevado a 10 = 1 cm aproximadamente. Supongamos que llegamos a la vigésimo séptima vez, su grosor sería de 2 elevado a 27, es decir 134.217.728 milésimas de centímetro, o lo que es lo mismo 1.342 metros, casi un kilómetro y medio.... Es decir sería imposible!

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