A Game You Can Always Win

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The 100 game was created by the Reverend Charles Lutwidge Dodgson -- who you may know for writing Alice In Wonderland under the pen name Lewis Carroll.

Carrolls Oxford students were amazed. On February 5, 1856 he wrote in his diary: ... the trick of counting alternately up to 100, neither putting on more than 10 to the last number named, astonished them not a little.

The Universe in a Handkerchief: Lewis Carrolls Mathematical Recreations, Games, Puzzles, and Word Plays, by Martin Gardiner
https://www.amazon.com/Universe-Handkerchief-Carrolls-Mathematical-Recreations/dp/0387256415

The Diaries of Lewis Carroll Volume I
https://www.amazon.com/Diaries-Lewis-Carroll-I/dp/B011UZLQ60

Arithmetical Croquet
http://www.mscs.mu.edu/~mikes/159/croquet.txt


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