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...
- Bisector of an imaginary angle may be real
- There are just five regular polyhedra
- Complex number to a complex power may be real
- At any given time in New York there live at least two people with the same number of hairs
- How to write an equation of the union of two sets
- You can add apples and oranges
- You can't compare two complex numbers
- As in the art, there are imaginary and surreal numbers
- Among all shapes with the same perimeter a circle has the largest area
- 0!=1
- Simple Quadrilaterals Tessellate the Plane
- The word 'fraction' derives from the Latin fractio - to break. However, there are continuous fractions
- There are curves that fill a plane without holes
- As in philosophy, there are transcendental numbers
- 1/3 + 1/4 = 7/12
- Every infinite set contains uncountably many nested subsets
- There is order in chaos
- As in the art, there are imaginary and surreal numbers
- One is morally obligated to do everything impossible
- One is morally obligated to do everything impossible
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Last updated: July 6, 2018 What has changed? |
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