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...
- A straight line has dimension 1, a plane 2. Fractals have mostly fractional dimension
- Sphere has two sides. However, there are one-sided surfaces
- Among all shapes with the same area circle has the shortest perimeter
- How to write an equation of the union of two sets
- There are many things that can be multiplied
- In a group of 23 people, at least two have the same birthday with the probability greater than 1/2
- As in the art, there are imaginary and surreal numbers
- Among all shapes with the same perimeter a circle has the largest area
- In some circumstances index equals the content
- In some circumstances, an index may have a content of its own
- Altitudes have ears, foot, stem, and root
- One can drill holes that are almost square
- In some circumstances, an index may have a content of its own
- Demographic tests show that the person least likely to buy Wired magazine is an American schoolteacher
- There are many things that can be added
- To get cafe au lait one should carry coffee to milk and not milk to coffee
- Complex number to a complex power may be real
- 12+3-4+5+67+8+9=100 and there exists at least one other representation of 100 with 9 digits in the right order and math operations in between
- You can add apples and oranges
Last updated: July 6, 2018 What has changed? |
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