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...
- A straight line has dimension 1, a plane 2. Fractals have mostly fractional dimension
- You can't add apples and oranges but you can add their shapes
- Some numbers are square, yet others are triangular
- Everything you can do with a ruler and a compass you can do with the compass alone
- 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
- The only triangle with rational sides and angles is equilateral.
- 1/3 + 1/4 = 7/12
- In some circumstances index equals the content
- Irrational number to an irrational power may be rational
- C - C = [-1, 1]
- There are really impossible things
- Among all shapes with the same area circle has the shortest perimeter
- 1/3 + 1/4 = 7/12
- Complex number to a complex power may be real
- 0!=1
- As in the art, there are imaginary and surreal numbers
- There are just five regular polyhedra
- C - C = [-1, 1]
- The Length of the diagonal of the unit square equals the square root of 2
- There are trisectable angles that are not constructible
Last updated: July 6, 2018 What has changed? |
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