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...
- A straight line has dimension 1, a plane 2. Fractals have mostly fractional dimension
- You can position 10 defenders of a square castle so that on every side there will be 5 men
- Altitudes have ears, foot, stem, and root
- Every composite number is the product of some factors and also the sum of the same numbers
- There are three plane regions that share exactly the same boundary
- 12+3-4+5+67+8+9=100 and there exists at least one other representation of 100 with 9 digits in the right order and math operations in between
- Sometimes in order to add one has to take the difference
- A continuous function may grow considerably virtually without changing
- Simple quadrilaterals tessellate the plane
- There are just five regular polyhedra
- A straight line has dimension 1, a plane 2. Fractals have mostly fractional dimension
- The word 'fraction' derives from the Latin fractio - to break. However, there are continuous fractions
- To get cafe au lait one should carry coffee to milk and not milk to coffee
- To get cafe au lait one should carry coffee to milk and not milk to coffee
- You can't compare two complex numbers
- At any given time in New York there live at least two people with the same number of hairs
- One can drill holes that are almost square
- Complex number to a complex power may be real
- To get cafe au lait one should carry coffee to milk and not milk to coffee
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Last updated: July 6, 2018 What has changed? |
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