In 1066 William of Normandy crossed the English Channel at Hastings and attacked King Harold’s forces, formed as dense squares of men with interlocking shields. A contemporary history says that when Harold joined his men they “became as one mighty square, shouting the battle cries of 'Ut!', 'Olicrosse', and 'Godemite!'” If Harold’s men were divided into 8 squares, and the addition of one man resulted in a new single square, how many men must there have been?

Hint: There were more than 8, though strictly speaking that would fit the text. 8 squares of 1 plus one new man equals a new square of 9. But the Saxons, brave as they were, were not crazy. The number is larger than 8.
The Answer

Illustration is from the Bayeux Tapestry, probably commissioned shortly after the battle by Bishop Odo of Bayeux, half-brother of William the Conqueror. It is nearly the length of a football field, embroidered in woolen yarn on linen, telling the terrible story.
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