# 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 is order in chaos
- Simple quadrilaterals tessellate the plane
- A continuous linear function must have the form f(x)=ax. Discontinuous linear functions look dreadful
- You can add apples and oranges
- Altitudes have ears, foot, stem, and root
- As in philosophy, there are transcendental numbers
- One can cut a pie into 8 pieces with three movements
- A continuous linear function must have the form f(x)=ax. Discontinuous linear functions look dreadful
- 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
- Complex number to a complex power may be real
- Demographic tests show that the person least likely to buy Wired magazine is an American schoolteacher
- To get cafe au lait one should carry coffee to milk and not milk to coffee
- Demographic tests show that the person least likely to buy Wired magazine is an American schoolteacher
- Everything you can do with a ruler and a compass you can do with the compass alone
- There exist triangular numbers that are also square
- One can drill holes that are almost square
- Demographic tests show that the person least likely to buy Wired magazine is an American schoolteacher
- You can position 10 defenders of a square castle so that on every side there will be 5 men
- 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

Last updated:
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July 6, 2018 |

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