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 is something the dead eat but if the living eat it, they die
- There are three plane regions that share exactly the same boundary
- A straight line has dimension 1, a plane 2. Fractals have mostly fractional dimension
- You can't add apples and oranges but you can add their shapes
- Everything you can do with a ruler and a compass you can do with the compass alone
- cos(36) = (1 + sqrt(5))/4
- There is something the dead eat but if the living eat it, they die
- As in the art, there are imaginary and surreal numbers
- As in philosophy, there are transcendental numbers
- Demographic tests show that the person least likely to buy Wired magazine is an American schoolteacher
- Curves of infinite length may enclose finite areas
- Sometimes in order to add one has to take the difference
- Among all shapes with the same area circle has the shortest perimeter
- One can drill holes that are almost square
- In some circumstances index equals the content
- There is order in chaos
- Complex numbers are in a sense perfect while there is little doubt that perfect numbers are complex
- As in the art, there are imaginary and surreal numbers
- As in the art, there are imaginary and surreal numbers
- Among all shapes with the same perimeter a circle has the largest area
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Last updated: July 6, 2018 What has changed? |
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