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...
- Bisector of an imaginary angle may be real
- There is a simple solution to the affirmative action problem
- There are many things that can be added
- Some numbers are square, yet others are triangular
- One is morally obligated to do everything impossible
- To get cafe au lait one should carry coffee to milk and not milk to coffee
- Some numbers are lucky. 13 is one
- Altitudes have ears, foot, stem, and root
- There are many things that can be multiplied
- Simple quadrilaterals tessellate the plane
- Some numbers are square, yet others are triangular
- A straight line has dimension 1, a plane 2. Fractals have mostly fractional dimension
- Everything you can do with a ruler and a compass you can do with the compass alone
- There are really impossible things
- 0!=1
- A continuous function may grow considerably virtually without changing
- For every object there is a distance at which it looks its best
- Altitudes have ears, foot, stem, and root
- Altitudes have ears, foot, stem, and root
- A continuous linear function must have the form f(x)=ax. Discontinuous linear functions look dreadful
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Last updated: July 6, 2018 What has changed? |
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