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...
- Simple Quadrilaterals Tessellate the Plane
- In a group of 23 people, at least two have the same birthday with the probability greater than 1/2
- There are really impossible things
- In a group of 23 people, at least two have the same birthday with the probability greater than 1/2
- You can't add apples and oranges but you can add their shapes
- Among all shapes with the same perimeter a circle has the largest area
- At any given time in New York there live at least two people with the same number of hairs
- Falsity implies anything
- Simple quadrilaterals tessellate the plane
- A continuous function may grow considerably virtually without changing
- As in the art, there are imaginary and surreal numbers
- For every object there is a distance at which it looks its best
- There are things distant yet near. There are others that are near yet distant
- Bisector of an imaginary angle may be real
- Sphere has two sides. However, there are one-sided surfaces
- A clock never showing right time might be preferable to the one showing right time twice a day
- You can't compare two complex numbers
- In some circumstances index equals the content
- A straight line has dimension 1, a plane 2. Fractals have mostly fractional dimension
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Last updated: July 6, 2018 What has changed? |
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