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...
- There are things distant yet near. There are others that are near yet distant
- In the sequence of all integers, there are arbitrary long runs with no primes
- Curves of infinite length may enclose finite areas
- The only triangle with rational sides and angles is equilateral.
- Altitudes have ears, foot, stem, and root
- Simple quadrilaterals tessellate the plane
- Among all shapes with the same area circle has the shortest perimeter
- The only triangle with rational sides and angles is equilateral.
- A straight line has dimension 1, a plane 2. Fractals have mostly fractional dimension
- Some numbers are square, yet others are triangular
- Falsity implies anything
- You can add apples and oranges
- Everything you can do with a ruler and a compass you can do with the compass alone
- There are curves that fill a plane without holes
- There are curves that fill a plane without holes
- Complex numbers are in a sense perfect while there is little doubt that perfect numbers are complex
- Complex number to a complex power may be real
- You can add apples and oranges
- The Length of the diagonal of the unit square equals the square root of 2
- One is morally obligated not to do anything impossible
Last updated: July 6, 2018 What has changed? |
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