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...
- Among all shapes with the same area circle has the shortest perimeter
- The only triangle with rational sides and angles is equilateral.
- 1/3 + 1/4 = 7/12
- C - C = [-1, 1]
- There are three plane regions that share exactly the same boundary
- To get cafe au lait one should carry coffee to milk and not milk to coffee
- Bisector of an imaginary angle may be real
- There is a simple solution to the affirmative action problem
- Complex numbers are in a sense perfect while there is little doubt that perfect numbers are complex
- You are wrong if you think Mathematics is not fun
- The word 'fraction' derives from the Latin fractio - to break. However, there are continuous fractions
- You are wrong if you think Mathematics is not fun
- The Length of the diagonal of the unit square equals the square root of 2
- Some numbers are lucky. 13 is one
- Complex number to a complex power may be real
- You can position 10 defenders of a square castle so that on every side there will be 5 men
- Curves of infinite length may enclose finite areas
- Almost every integer has the digit 3 in it
- There exist triangular numbers that are also square
- There are just five regular polyhedra
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Last updated: July 6, 2018 What has changed? |
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