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...
- 1/3 + 1/4 = 7/12
- Bisector of an imaginary angle may be real
- The word 'fraction' derives from the Latin fractio - to break. However, there are continuous fractions
- At any given time in New York there live at least two people with the same number of hairs
- Sometimes in order to add one has to take the difference
- A continuous function may grow considerably virtually without changing
- 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
- For every object there is a distance at which it looks its best
- Irrational number to an irrational power may be rational
- A straight line has dimension 1, a plane 2. Fractals have mostly fractional dimension
- The only triangle with rational sides and angles is equilateral.
- Simple Quadrilaterals Tessellate the Plane
- One is morally obligated not to do anything impossible
- Altitudes have ears, foot, stem, and root
- The word 'fraction' derives from the Latin fractio - to break. However, there are continuous fractions
- Simple Quadrilaterals Tessellate the Plane
- No two integers are equidistant from the square root of 2
- There are really impossible things
- In some circumstances, an index may have a content of its own
- Every infinite set contains uncountably many nested subsets
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Last updated: July 6, 2018 What has changed? |
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