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...
- There are trisectable angles that are not constructible
- Among all shapes with the same area circle has the shortest perimeter
- Simple Quadrilaterals Tessellate the Plane
- The Length of the diagonal of the unit square equals the square root of 2
- There are many things that can be added
- You can't compare two complex numbers
- Some numbers are lucky. 13 is one
- Falsity implies anything
- cos(36) = (1 + sqrt(5))/4
- You can't compare two complex numbers
- Among all shapes with the same area circle has the shortest perimeter
- To get cafe au lait one should carry coffee to milk and not milk to coffee
- One is morally obligated to do everything impossible
- In some circumstances index equals the content
- In a group of 23 people, at least two have the same birthday with the probability greater than 1/2
- Bisector of an imaginary angle may be real
- Simple quadrilaterals tessellate the plane
- The word 'fraction' derives from the Latin fractio - to break. However, there are continuous fractions
- Complex numbers are in a sense perfect while there is little doubt that perfect numbers are complex
- There is a simple solution to the affirmative action problem
Last updated: July 6, 2018 What has changed? |
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