Interactive Mathematics Miscellany and Puzzles
Raymond Smullyan, a Mathematician, Philosopher and author of several outstanding books of logical puzzles, tells, in one of his books, a revealing story. A friend invited him for dinner. He told Smullyan that his teenage son was crazy about Smullyan's books and could not wait to meet him. The friend warned Smullyan not to mention that he is a Mathematician and that Logic is a part of Mathematics because the young fellow hated Mathematics.
Having told this story, would it be wise to announce up front what this site is about? Perhaps against a better judgement, I've put together a manifesto that aims to explain the purpose of this site.
By the way, did you know that...
- There are things distant yet near. There are others that are near yet distant
- Some numbers are square, yet others are triangular
- Bisector of an imaginary angle may be real
- How to write an equation of the union of two sets
- There are just five regular polyhedra
- There exist triangular numbers that are also square
- In some circumstances index equals the content
- Some numbers are lucky. 13 is one
- Demographic tests show that the person least likely to buy Wired magazine is an American schoolteacher
- Among all shapes with the same perimeter a circle has the largest area
- Among all shapes with the same perimeter a circle has the largest area
- How to write an equation of the union of two sets
- Bisector of an imaginary angle may be real
- You can add apples and oranges
- Irrational number to an irrational power may be rational
- Everything you can do with a ruler and a compass you can do with the compass alone
- One is morally obligated to do everything impossible
- There are really impossible things
- You can position 10 defenders of a square castle so that on every side there will be 5 men
- One can cut a pie into 8 pieces with three movements
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Last updated: July 6, 2018 What has changed? |
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