Lewis Carroll: The Mad Mathematician?
- You are given two glasses. One contains 50 tablespoons of milk, the other 50 tablespoons of water. Take one tablespoon of milk and mix it with the water. Now take one tablespoon of the water/milk mixture and mix it with the pure milk to obtain a milk/water mixture. Is there more water in the milk/water mixture or more milk in the water/milk mixture?
- If you paint the faces of a cube with six different colors, how many ways are there to do this if each face is painted a different color and two colorings of the cube are considered equivalent if you can rotate one to get the other? What if we drop the restriction that the faces be painted different colors?
- Make a word-ladder from FOUR to FIVE. (Every step in a word ladder differs from the previous step in exactly one letter and each step in the ladder is an English word.)
- Why is a raven like a writing desk?
- Lewis Carroll Society of North America
- The Mad Hatter's Secret Ingredient: Math
- Algebra in Wonderland
- Lewis Carroll in numberland : his fantastical mathematical logical life : an agony in eight fits by Robin Wilson.
- Alice's adventures in wonderland
- Through the looking glass
- Other Lewis Carroll books
- There is as much water in the milk/water mixture as milk in the water/milk mixture.
- There are 30 ways of painting the cube. If the restriction that each face be painted a different color is dropped, there are 2226 ways of painting the cube.
- FOUR → FOUL → FOOL → FOOT → FORT → FORE → FIRE → FIVE
- Carroll didn't have an answer in mind when he wrote the riddle, though he later came up with: "Because it can produce a few notes, though they are very flat; and it is nevar put wrong end in front!" (Note the variant spelling of "never".) Other authors have come up with: "Because Poe wrote on both" (Sam Loyd); "Because it slopes with a flap" (Cyril Pearson) ; and "Because both have quills dipped in ink"
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