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...
- For every object there is a distance at which it looks its best
- One is morally obligated not to do anything impossible
- Some numbers are lucky. 13 is one
- In the sequence of all integers, there are arbitrary long runs with no primes
- Sphere has two sides. However, there are one-sided surfaces
- One is morally obligated not to do anything impossible
- There is order in chaos
- 0!=1
- Every composite number is the product of some factors and also the sum of the same numbers
- You can add apples and oranges
- Bisector of an imaginary angle may be real
- 1/3 + 1/4 = 7/12
- The only triangle with rational sides and angles is equilateral.
- There exist triangular numbers that are also square
- As in philosophy, there are transcendental numbers
- Some numbers are square, yet others are triangular
- Bisector of an imaginary angle may be real
- Among all shapes with the same perimeter a circle has the largest area
- No two integers are equidistant from the square root of 2
- 0!=1
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Last updated: July 6, 2018 What has changed? |
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