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...
- C - C = [-1, 1]
- A straight line has dimension 1, a plane 2. Fractals have mostly fractional dimension
- Irrational number to an irrational power may be rational
- Much as with people, there are irrational, perfect, complex numbers
- To get cafe au lait one should carry coffee to milk and not milk to coffee
- You can position 10 defenders of a square castle so that on every side there will be 5 men
- One is morally obligated to do everything impossible
- 0!=1
- There are trisectable angles that are not constructible
- At any given time in New York there live at least two people with the same number of hairs
- As in the art, there are imaginary and surreal numbers
- Sphere has two sides. However, there are one-sided surfaces
- To get cafe au lait one should carry coffee to milk and not milk to coffee
- No two integers are equidistant from the square root of 2
- 12+3-4+5+67+8+9=100 and there exists at least one other representation of 100 with 9 digits in the right order and math operations in between
- In a group of 23 people, at least two have the same birthday with the probability greater than 1/2
- cos(36) = (1 + sqrt(5))/4
- Every infinite set contains uncountably many nested subsets
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Last updated: July 6, 2018 What has changed? |
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