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...
- Complex number to a complex power may be real
- The only triangle with rational sides and angles is equilateral.
- Demographic tests show that the person least likely to buy Wired magazine is an American schoolteacher
- To get cafe au lait one should carry coffee to milk and not milk to coffee
- Two simple polygons of equal area can be dissected into a finite number of congruent polygons
- One can drill holes that are almost square
- You can add apples and oranges
- Altitudes have ears, foot, stem, and root
- Sets may be thick, thin and normal
- Some numbers are lucky. 13 is one
- Demographic tests show that the person least likely to buy Wired magazine is an American schoolteacher
- You can't compare two complex numbers
- Among all shapes with the same area circle has the shortest perimeter
- C - C = [-1, 1]
- The Length of the diagonal of the unit square equals the square root of 2
- There exist triangular numbers that are also square
- One can drill holes that are almost square
- No two integers are equidistant from the square root of 2
- 0!=1
- Everything you can do with a ruler and a compass you can do with the compass alone
Last updated: July 6, 2018 What has changed? |
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