# 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...

- There are curves that fill a plane without holes
- There is a simple solution to the affirmative action problem
- Sphere has two sides. However, there are one-sided surfaces
- There are just five regular polyhedra
- Almost every integer has the digit 3 in it
- For every object there is a distance at which it looks its best
- The only triangle with rational sides and angles is equilateral.
- Sphere has two sides. However, there are one-sided surfaces
- Simple quadrilaterals tessellate the plane
- Everything you can do with a ruler and a compass you can do with the compass alone
- For every object there is a distance at which it looks its best
- Almost every integer has the digit 3 in it
- Bisector of an imaginary angle may be real
- 1/3 + 1/4 = 7/12
- You can't compare two complex numbers
- 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
- One can cut a pie into 8 pieces with three movements
- Every infinite set contains uncountably many nested subsets
- In the sequence of all integers, there are arbitrary long runs with no primes

Last updated:
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July 6, 2018 |

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