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...
- For every object there is a distance at which it looks its best
- In some circumstances, an index may have a content of its own
- Some numbers are lucky. 13 is one
- You can position 10 defenders of a square castle so that on every side there will be 5 men
- Almost every integer has the digit 3 in it
- There are just five regular polyhedra
- 0!=1
- There are many things that can be added
- You can't add apples and oranges but you can add their shapes
- Altitudes have ears, foot, stem, and root
- Sphere has two sides. However, there are one-sided surfaces
- Two simple polygons of equal area can be dissected into a finite number of congruent polygons
- Sphere has two sides. However, there are one-sided surfaces
- To get cafe au lait one should carry coffee to milk and not milk to coffee
- You can't compare two complex numbers
- No two integers are equidistant from the square root of 2
- A continuous linear function must have the form f(x)=ax. Discontinuous linear functions look dreadful
- There are many things that can be multiplied
- For every object there is a distance at which it looks its best
Last updated: July 6, 2018 What has changed? |
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