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...
- You can't compare two complex numbers
- There exist triangular numbers that are also square
- 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
- In some circumstances index equals the content
- cos(36) = (1 + sqrt(5))/4
- You can't compare two complex numbers
- There are many things that can be multiplied
- A continuous linear function must have the form f(x)=ax. Discontinuous linear functions look dreadful
- The only triangle with rational sides and angles is equilateral.
- Almost every integer has the digit 3 in it
- For every object there is a distance at which it looks its best
- In some circumstances index equals the content
- At any given time in New York there live at least two people with the same number of hairs
- Much as with people, there are irrational, perfect, complex numbers
- There is order in chaos
- Some numbers are square, yet others are triangular
- In the sequence of all integers, there are arbitrary long runs with no primes
- You can't add apples and oranges but you can add their shapes
- A clock never showing right time might be preferable to the one showing right time twice a day
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Last updated: July 6, 2018 What has changed? |
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