# 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...

- You are wrong if you think Mathematics is not fun
- Complex number to a complex power may be real
- One can cut a pie into 8 pieces with three movements
- 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
- Simple quadrilaterals tessellate the plane
- In some circumstances, an index may have a content of its own
- Complex number to a complex power may be real
- For every object there is a distance at which it looks its best
- How to write an equation of the union of two sets
- There is something the dead eat but if the living eat it, they die
- 0!=1
- You are wrong if you think Mathematics is not fun
- Sphere has two sides. However, there are one-sided surfaces
- There are many things that can be added
- One can drill holes that are almost square
- One is morally obligated to do everything impossible
- There are trisectable angles that are not constructible
- One can cut a pie into 8 pieces with three movements

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

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