# 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...

- Among all shapes with the same area circle has the shortest perimeter
- Altitudes have ears, foot, stem, and root
- In some circumstances index equals the content
- As in philosophy, there are transcendental numbers
- There are just five regular polyhedra
- One is morally obligated not to do anything impossible
- Almost every integer has the digit 3 in it
- Sets may be thick, thin and normal
- Sets may be thick, thin and normal
- Sometimes in order to add one has to take the difference
- There are three plane regions that share exactly the same boundary
- No two integers are equidistant from the square root of 2
- There are things distant yet near. There are others that are near yet distant
- In some circumstances index equals the content
- As in the art, there are imaginary and surreal numbers
- To get cafe au lait one should carry coffee to milk and not milk to coffee
- There are just five regular polyhedra
- Simple quadrilaterals tessellate the plane
- Irrational number to an irrational power may be rational

Last updated:
What has changed?
July 6, 2018 |

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