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...
- Complex number to a complex power may be real
- Sphere has two sides. However, there are one-sided surfaces
- cos(36) = (1 + sqrt(5))/4
- There are trisectable angles that are not constructible
- Sometimes in order to add one has to take the difference
- For every object there is a distance at which it looks its best
- Bisector of an imaginary angle may be real
- Everything you can do with a ruler and a compass you can do with the compass alone
- There are really impossible things
- Sets may be thick, thin and normal
- You can't add apples and oranges but you can add their shapes
- Some numbers are lucky. 13 is one
- Some numbers are lucky. 13 is one
- In some circumstances, an index may have a content of its own
- There is a simple solution to the affirmative action problem
- As in philosophy, there are transcendental numbers
- You can't add apples and oranges but you can add their shapes
- Some numbers are lucky. 13 is one
- In the sequence of all integers, there are arbitrary long runs with no primes
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Last updated: July 6, 2018 What has changed? |
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