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...
- cos(36) = (1 + sqrt(5))/4
- Some numbers are lucky. 13 is one
- Complex number to a complex power may be real
- One can cut a pie into 8 pieces with three movements
- Some numbers are square, yet others are triangular
- The only triangle with rational sides and angles is equilateral.
- Sets may be thick, thin and normal
- You can position 10 defenders of a square castle so that on every side there will be 5 men
- There are many things that can be multiplied
- One can cut a pie into 8 pieces with three movements
- There is something the dead eat but if the living eat it, they die
- Bisector of an imaginary angle may be real
- Every composite number is the product of some factors and also the sum of the same numbers
- At any given time in New York there live at least two people with the same number of hairs
- At any given time in New York there live at least two people with the same number of hairs
- No two integers are equidistant from the square root of 2
- Altitudes have ears, foot, stem, and root
- Curves of infinite length may enclose finite areas
- Every composite number is the product of some factors and also the sum of the same numbers
Last updated: July 6, 2018 What has changed? |
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