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
- As in the art, there are imaginary and surreal numbers
- Bisector of an imaginary angle may be real
- cos(36) = (1 + sqrt(5))/4
- Among all shapes with the same perimeter a circle has the largest area
- You are wrong if you think Mathematics is not fun
- As in the art, there are imaginary and surreal numbers
- There exist triangular numbers that are also square
- Sometimes in order to add one has to take the difference
- No two integers are equidistant from the square root of 2
- Everything you can do with a ruler and a compass you can do with the compass alone
- Irrational number to an irrational power may be rational
- Almost every integer has the digit 3 in it
- You can't compare two complex numbers
- There are many things that can be added
- In the sequence of all integers, there are arbitrary long runs with no primes
- A continuous linear function must have the form f(x)=ax. Discontinuous linear functions look dreadful
- The word 'fraction' derives from the Latin fractio - to break. However, there are continuous fractions
- A straight line has dimension 1, a plane 2. Fractals have mostly fractional dimension
- The only triangle with rational sides and angles is equilateral.
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Last updated: July 6, 2018 What has changed? |
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