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 are just five regular polyhedra
- Simple quadrilaterals tessellate the plane
- As in the art, there are imaginary and surreal numbers
- Almost every integer has the digit 3 in it
- Falsity implies anything
- The Length of the diagonal of the unit square equals the square root of 2
- You can position 10 defenders of a square castle so that on every side there will be 5 men
- cos(36) = (1 + sqrt(5))/4
- Everything you can do with a ruler and a compass you can do with the compass alone
- There are three plane regions that share exactly the same boundary
- The only triangle with rational sides and angles is equilateral.
- One is morally obligated to do everything impossible
- Altitudes have ears, foot, stem, and root
- There is a simple solution to the affirmative action problem
- There is a simple solution to the affirmative action problem
- One can drill holes that are almost square
- The Length of the diagonal of the unit square equals the square root of 2
- The only triangle with rational sides and angles is equilateral.
- A continuous linear function must have the form f(x)=ax. Discontinuous linear functions look dreadful
- You are wrong if you think Mathematics is not fun
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Last updated: July 6, 2018 What has changed? |
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