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...
- At any given time in New York there live at least two people with the same number of hairs
- A continuous function may grow considerably virtually without changing
- Falsity implies anything
- Much as with people, there are irrational, perfect, complex numbers
- There are three plane regions that share exactly the same boundary
- 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
- Some numbers are lucky. 13 is one
- You can add apples and oranges
- No two integers are equidistant from the square root of 2
- The Length of the diagonal of the unit square equals the square root of 2
- There are just five regular polyhedra
- Bisector of an imaginary angle may be real
- There are many things that can be added
- How to write an equation of the union of two sets
- Curves of infinite length may enclose finite areas
- Sets may be thick, thin and normal
- There are curves that fill a plane without holes
- Everything you can do with a ruler and a compass you can do with the compass alone
Last updated: July 6, 2018 What has changed? |
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