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...
- To get cafe au lait one should carry coffee to milk and not milk to coffee
- The word 'fraction' derives from the Latin fractio - to break. However, there are continuous fractions
- One can drill holes that are almost square
- There is something the dead eat but if the living eat it, they die
- Everything you can do with a ruler and a compass you can do with the compass alone
- In some circumstances, an index may have a content of its own
- You can add apples and oranges
- A clock never showing right time might be preferable to the one showing right time twice a day
- How to write an equation of the union of two sets
- In the sequence of all integers, there are arbitrary long runs with no primes
- One can cut a pie into 8 pieces with three movements
- You can add apples and oranges
- There are many things that can be multiplied
- 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
- As in the art, there are imaginary and surreal numbers
- You can't add apples and oranges but you can add their shapes
- In some circumstances index equals the content
- Among all shapes with the same perimeter a circle has the largest area
- Among all shapes with the same perimeter a circle has the largest area
Last updated: July 6, 2018 What has changed? |
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