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A Game of Cat and Mouse

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A mouse is at the top of a poplar tree 60 braccia high, and a cat is on the ground at its foot.  The mouse descends 1/2 a braccia a day and at night it turns back 1/6 of a braccia.  The cat climbs one braccia a day and goes back 1/4 of a braccia each night.  The tree grows 1/4 of a braccia between the cat and the mouse each day and it shrinks 1/8 of a braccia every night.  In how many days will the cat reach the mouse,  how much has the tree grown in the meantime, and how far does the cat climb?

Luca Pacioli, Summa, 1494

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"A Game of Cat and Mouse," Loci (July 2006)

Dummy View - NOT TO BE DELETED