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...
- Two simple polygons of equal area can be dissected into a finite number of congruent polygons
- For every object there is a distance at which it looks its best
- No two integers are equidistant from the square root of 2
- A clock never showing right time might be preferable to the one showing right time twice a day
- Complex number to a complex power may be real
- There are really impossible things
- There exist triangular numbers that are also square
- Bisector of an imaginary angle may be real
- There is a simple solution to the affirmative action problem
- For every object there is a distance at which it looks its best
- As in philosophy, there are transcendental numbers
- A clock never showing right time might be preferable to the one showing right time twice a day
- Demographic tests show that the person least likely to buy Wired magazine is an American schoolteacher
- There are trisectable angles that are not constructible
- The Length of the diagonal of the unit square equals the square root of 2
- As in philosophy, there are transcendental numbers
- The only triangle with rational sides and angles is equilateral.
- Every infinite set contains uncountably many nested subsets
- Complex number to a complex power may be real
- Demographic tests show that the person least likely to buy Wired magazine is an American schoolteacher
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Last updated: December 7, 2015 What has changed? |
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