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...
- Sets may be thick, thin and normal
- Complex numbers are in a sense perfect while there is little doubt that perfect numbers are complex
- Among all shapes with the same area circle has the shortest perimeter
- 1/3 + 1/4 = 7/12
- You are wrong if you think Mathematics is not fun
- One is morally obligated to do everything impossible
- Everything you can do with a ruler and a compass you can do with the compass alone
- There are trisectable angles that are not constructible
- Falsity implies anything
- Every composite number is the product of some factors and also the sum of the same numbers
- Simple Quadrilaterals Tessellate the Plane
- Among all shapes with the same area circle has the shortest perimeter
- There are curves that fill a plane without holes
- How to write an equation of the union of two sets
- Complex numbers are in a sense perfect while there is little doubt that perfect numbers are complex
- A continuous linear function must have the form f(x)=ax. Discontinuous linear functions look dreadful
- Complex numbers are in a sense perfect while there is little doubt that perfect numbers are complex
- You can't add apples and oranges but you can add their shapes
- The Length of the diagonal of the unit square equals the square root of 2
- For every object there is a distance at which it looks its best
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Last updated: July 6, 2018 What has changed? |
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