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
- A continuous function may grow considerably virtually without changing
- Complex number to a complex power may be real
- One can drill holes that are almost square
- There are just five regular polyhedra
- You can add apples and oranges
- One can cut a pie into 8 pieces with three movements
- Every infinite set contains uncountably many nested subsets
- There exist triangular numbers that are also square
- Among all shapes with the same perimeter a circle has the largest area
- C - C = [-1, 1]
- Curves of infinite length may enclose finite areas
- Some numbers are lucky. 13 is one
- Complex number to a complex power may be real
- There is something the dead eat but if the living eat it, they die
- A clock never showing right time might be preferable to the one showing right time twice a day
- As in the art, there are imaginary and surreal numbers
- One is morally obligated to do everything impossible
- Curves of infinite length may enclose finite areas
- One can cut a pie into 8 pieces with three movements
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Last updated: July 6, 2018 What has changed? |
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