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...
- Two simple polygons of equal area can be dissected into a finite number of congruent polygons
- Everything you can do with a ruler and a compass you can do with the compass alone
- A continuous linear function must have the form f(x)=ax. Discontinuous linear functions look dreadful
- Among all shapes with the same area circle has the shortest perimeter
- Altitudes have ears, foot, stem, and root
- There is a simple solution to the affirmative action problem
- One is morally obligated to do everything impossible
- There are just five regular polyhedra
- A clock never showing right time might be preferable to the one showing right time twice a day
- Irrational number to an irrational power may be rational
- Every composite number is the product of some factors and also the sum of the same numbers
- The only triangle with rational sides and angles is equilateral.
- One can cut a pie into 8 pieces with three movements
- A clock never showing right time might be preferable to the one showing right time twice a day
- As in the art, there are imaginary and surreal numbers
- There are many things that can be added
- There are curves that fill a plane without holes
- In the sequence of all integers, there are arbitrary long runs with no primes
- Complex number to a complex power may be real
- The Length of the diagonal of the unit square equals the square root of 2
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Last updated: December 26, 2017 What has changed? |
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