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
- Every composite number is the product of some factors and also the sum of the same numbers
- To get cafe au lait one should carry coffee to milk and not milk to coffee
- Simple quadrilaterals tessellate the plane
- You can position 10 defenders of a square castle so that on every side there will be 5 men
- One is morally obligated not to do anything impossible
- There are trisectable angles that are not constructible
- You can add apples and oranges
- There are just five regular polyhedra
- There is order in chaos
- As in philosophy, there are transcendental numbers
- Among all shapes with the same perimeter a circle has the largest area
- To get cafe au lait one should carry coffee to milk and not milk to coffee
- One is morally obligated to do everything impossible
- Among all shapes with the same perimeter a circle has the largest area
- One can drill holes that are almost square
- Complex numbers are in a sense perfect while there is little doubt that perfect numbers are complex
- As in philosophy, there are transcendental numbers
- There are three plane regions that share exactly the same boundary
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Last updated: July 6, 2018 What has changed? |
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