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 a simple solution to the affirmative action problem
- Simple quadrilaterals tessellate the plane
- Everything you can do with a ruler and a compass you can do with the compass alone
- You can add apples and oranges
- Some numbers are square, yet others are triangular
- As in the art, there are imaginary and surreal numbers
- There are really impossible things
- There are just five regular polyhedra
- There are three plane regions that share exactly the same boundary
- cos(36) = (1 + sqrt(5))/4
- In some circumstances, an index may have a content of its own
- Complex numbers are in a sense perfect while there is little doubt that perfect numbers are complex
- A continuous function may grow considerably virtually without changing
- cos(36) = (1 + sqrt(5))/4
- 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
- For every object there is a distance at which it looks its best
- Altitudes have ears, foot, stem, and root
- There are things distant yet near. There are others that are near yet distant
- No two integers are equidistant from the square root of 2
Last updated: July 6, 2018 What has changed? |
|Contact| |Front page| |Index|
Copyright © 1996-2017 Alexander Bogomolny