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...
- The word 'fraction' derives from the Latin fractio - to break. However, there are continuous fractions
- Almost every integer has the digit 3 in it
- Irrational number to an irrational power may be rational
- Every infinite set contains uncountably many nested subsets
- There is order in chaos
- There are things distant yet near. There are others that are near yet distant
- There exist triangular numbers that are also square
- The only triangle with rational sides and angles is equilateral.
- Simple quadrilaterals tessellate the plane
- Some numbers are lucky. 13 is one
- Sets may be thick, thin and normal
- Complex numbers are in a sense perfect while there is little doubt that perfect numbers are complex
- Two simple polygons of equal area can be dissected into a finite number of congruent polygons
- To get cafe au lait one should carry coffee to milk and not milk to coffee
- cos(36) = (1 + sqrt(5))/4
- There exist triangular numbers that are also square
- In the sequence of all integers, there are arbitrary long runs with no primes
- In some circumstances index equals the content
- To get cafe au lait one should carry coffee to milk and not milk to coffee
- In a group of 23 people, at least two have the same birthday with the probability greater than 1/2
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Last updated: July 6, 2018 What has changed? |
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