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...
- Two simple polygons of equal area can be dissected into a finite number of congruent polygons
- Some numbers are square, yet others are triangular
- Complex numbers are in a sense perfect while there is little doubt that perfect numbers are complex
- Simple quadrilaterals tessellate the plane
- Everything you can do with a ruler and a compass you can do with the compass alone
- There are just five regular polyhedra
- A straight line has dimension 1, a plane 2. Fractals have mostly fractional dimension
- There are trisectable angles that are not constructible
- One is morally obligated not to do anything impossible
- Some numbers are lucky. 13 is one
- 1/3 + 1/4 = 7/12
- 1/3 + 1/4 = 7/12
- cos(36) = (1 + sqrt(5))/4
- In some circumstances, an index may have a content of its own
- Falsity implies anything
- One is morally obligated not to do anything impossible
- Complex numbers are in a sense perfect while there is little doubt that perfect numbers are complex
- C - C = [-1, 1]
- Every infinite set contains uncountably many nested subsets
- A straight line has dimension 1, a plane 2. Fractals have mostly fractional dimension
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Last updated: July 6, 2018 What has changed? |
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