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...
- No two integers are equidistant from the square root of 2
- You can't compare two complex numbers
- Complex number to a complex power may be real
- C - C = [-1, 1]
- The word 'fraction' derives from the Latin fractio - to break. However, there are continuous fractions
- Altitudes have ears, foot, stem, and root
- You can't compare two complex numbers
- The Length of the diagonal of the unit square equals the square root of 2
- No two integers are equidistant from the square root of 2
- 0!=1
- Complex number to a complex power may be real
- In the sequence of all integers, there are arbitrary long runs with no primes
- A continuous function may grow considerably virtually without changing
- Almost every integer has the digit 3 in it
- Bisector of an imaginary angle may be real
- As in the art, there are imaginary and surreal numbers
- Sometimes in order to add one has to take the difference
- Two simple polygons of equal area can be dissected into a finite number of congruent polygons
- There are curves that fill a plane without holes
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Last updated: July 6, 2018 What has changed? |
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