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 many things that can be multiplied
- Altitudes have ears, foot, stem, and root
- No two integers are equidistant from the square root of 2
- Simple Quadrilaterals Tessellate the Plane
- In the sequence of all integers, there are arbitrary long runs with no primes
- One can cut a pie into 8 pieces with three movements
- There is order in chaos
- A straight line has dimension 1, a plane 2. Fractals have mostly fractional dimension
- Sphere has two sides. However, there are one-sided surfaces
- C - C = [-1, 1]
- There are trisectable angles that are not constructible
- One is morally obligated to do everything impossible
- Simple quadrilaterals tessellate the plane
- Sphere has two sides. However, there are one-sided surfaces
- For every object there is a distance at which it looks its best
- There are just five regular polyhedra
- Everything you can do with a ruler and a compass you can do with the compass alone
- There are just five regular polyhedra
- 0!=1
- As in the art, there are imaginary and surreal numbers
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Last updated: July 6, 2018 What has changed? |
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