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...
- Some numbers are lucky. 13 is one
- A straight line has dimension 1, a plane 2. Fractals have mostly fractional dimension
- Sets may be thick, thin and normal
- One is morally obligated not to do anything impossible
- Irrational number to an irrational power may be rational
- The only triangle with rational sides and angles is equilateral.
- Two simple polygons of equal area can be dissected into a finite number of congruent polygons
- You are wrong if you think Mathematics is not fun
- 0!=1
- A straight line has dimension 1, a plane 2. Fractals have mostly fractional dimension
- There are things distant yet near. There are others that are near yet distant
- There are three plane regions that share exactly the same boundary
- There are trisectable angles that are not constructible
- To get cafe au lait one should carry coffee to milk and not milk to coffee
- In a group of 23 people, at least two have the same birthday with the probability greater than 1/2
- There are three plane regions that share exactly the same boundary
- You can add apples and oranges
- Complex number to a complex power may be real
- Complex number to a complex power may be real
- There are things distant yet near. There are others that are near yet distant
Last updated: July 6, 2018 What has changed? |
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