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...
- At any given time in New York there live at least two people with the same number of hairs
- 0!=1
- One is morally obligated not to do anything impossible
- You can't add apples and oranges but you can add their shapes
- One is morally obligated to do everything impossible
- Altitudes have ears, foot, stem, and root
- The only triangle with rational sides and angles is equilateral.
- In the sequence of all integers, there are arbitrary long runs with no primes
- cos(36) = (1 + sqrt(5))/4
- The Length of the diagonal of the unit square equals the square root of 2
- In some circumstances index equals the content
- Two simple polygons of equal area can be dissected into a finite number of congruent polygons
- Demographic tests show that the person least likely to buy Wired magazine is an American schoolteacher
- Complex number to a complex power may be real
- Complex numbers are in a sense perfect while there is little doubt that perfect numbers are complex
- You can't add apples and oranges but you can add their shapes
- You can position 10 defenders of a square castle so that on every side there will be 5 men
- One can drill holes that are almost square
- cos(36) = (1 + sqrt(5))/4
- Irrational number to an irrational power may be rational
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Last updated: July 6, 2018 What has changed? |
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