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 curves that fill a plane without holes
- cos(36) = (1 + sqrt(5))/4
- The word 'fraction' derives from the Latin fractio - to break. However, there are continuous fractions
- The Length of the diagonal of the unit square equals the square root of 2
- Falsity implies anything
- There are curves that fill a plane without holes
- You can't compare two complex numbers
- The word 'fraction' derives from the Latin fractio - to break. However, there are continuous fractions
- There are three plane regions that share exactly the same boundary
- As in the art, there are imaginary and surreal numbers
- As in philosophy, there are transcendental numbers
- To get cafe au lait one should carry coffee to milk and not milk to coffee
- C - C = [-1, 1]
- Sometimes in order to add one has to take the difference
- 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
- You can position 10 defenders of a square castle so that on every side there will be 5 men
- Complex numbers are in a sense perfect while there is little doubt that perfect numbers are complex
- Sphere has two sides. However, there are one-sided surfaces
- Complex number to a complex power may be real
Last updated: July 6, 2018 What has changed? |
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