# 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...

- Some numbers are lucky. 13 is one
- How to write an equation of the union of two sets
- A continuous linear function must have the form f(x)=ax. Discontinuous linear functions look dreadful
- For every object there is a distance at which it looks its best
- Among all shapes with the same area circle has the shortest perimeter
- You can't compare two complex numbers
- As in philosophy, there are transcendental numbers
- Every composite number is the product of some factors and also the sum of the same numbers
- As in the art, there are imaginary and surreal numbers
- Simple Quadrilaterals Tessellate the Plane
- Among all shapes with the same area circle has the shortest perimeter
- In some circumstances index equals the content
- There are things distant yet near. There are others that are near yet distant
- There are things distant yet near. There are others that are near yet distant
- There is order in chaos
- Some numbers are lucky. 13 is one
- 0!=1
- 1/3 + 1/4 = 7/12
- There are trisectable angles that are not constructible
- Among all shapes with the same perimeter a circle has the largest area

Last updated:
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July 6, 2018 |

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