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...
- In a group of 23 people, at least two have the same birthday with the probability greater than 1/2
- Demographic tests show that the person least likely to buy Wired magazine is an American schoolteacher
- Bisector of an imaginary angle may be real
- You can't add apples and oranges but you can add their shapes
- There are just five regular polyhedra
- A continuous linear function must have the form f(x)=ax. Discontinuous linear functions look dreadful
- In the sequence of all integers, there are arbitrary long runs with no primes
- A continuous function may grow considerably virtually without changing
- A straight line has dimension 1, a plane 2. Fractals have mostly fractional dimension
- 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
- There exist triangular numbers that are also square
- There are things distant yet near. There are others that are near yet distant
- Simple Quadrilaterals Tessellate the Plane
- Much as with people, there are irrational, perfect, complex numbers
- Altitudes have ears, foot, stem, and root
- The word 'fraction' derives from the Latin fractio - to break. However, there are continuous fractions
- Bisector of an imaginary angle may be real
- Simple Quadrilaterals Tessellate the Plane
- The only triangle with rational sides and angles is equilateral.
- There are many things that can be multiplied
Last updated: July 6, 2018 What has changed? |
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