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...
- No two integers are equidistant from the square root of 2
- Irrational number to an irrational power may be rational
- Irrational number to an irrational power may be rational
- 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
- There exist triangular numbers that are also square
- Altitudes have ears, foot, stem, and root
- You are wrong if you think Mathematics is not fun
- You are wrong if you think Mathematics is not fun
- A straight line has dimension 1, a plane 2. Fractals have mostly fractional dimension
- There are many things that can be multiplied
- Among all shapes with the same area circle has the shortest perimeter
- Complex numbers are in a sense perfect while there is little doubt that perfect numbers are complex
- There are trisectable angles that are not constructible
- 0!=1
- There is order in chaos
- The only triangle with rational sides and angles is equilateral.
- In a group of 23 people, at least two have the same birthday with the probability greater than 1/2
- Almost every integer has the digit 3 in it
- There are trisectable angles that are not constructible
- Complex numbers are in a sense perfect while there is little doubt that perfect numbers are complex
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Last updated: July 6, 2018 What has changed? |
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