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 exist triangular numbers that are also square
- A clock never showing right time might be preferable to the one showing right time twice a day
- Bisector of an imaginary angle may be real
- One can drill holes that are almost square
- The word 'fraction' derives from the Latin fractio - to break. However, there are continuous fractions
- There are really impossible things
- There is order in chaos
- In some circumstances, an index may have a content of its own
- Sets may be thick, thin and normal
- There are things distant yet near. There are others that are near yet distant
- As in the art, there are imaginary and surreal numbers
- A continuous function may grow considerably virtually without changing
- cos(36) = (1 + sqrt(5))/4
- One is morally obligated not to do anything impossible
- The only triangle with rational sides and angles is equilateral.
- Sometimes in order to add one has to take the difference
- The Length of the diagonal of the unit square equals the square root of 2
- Almost every integer has the digit 3 in it
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Last updated: July 6, 2018 What has changed? |
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