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...
- 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
- cos(36) = (1 + sqrt(5))/4
- You can't compare two complex numbers
- There are many things that can be added
- Bisector of an imaginary angle may be real
- There are things distant yet near. There are others that are near yet distant
- How to write an equation of the union of two sets
- Among all shapes with the same area circle has the shortest perimeter
- There are three plane regions that share exactly the same boundary
- A continuous linear function must have the form f(x)=ax. Discontinuous linear functions look dreadful
- Irrational number to an irrational power may be rational
- There are things distant yet near. There are others that are near yet distant
- You are wrong if you think Mathematics is not fun
- No two integers are equidistant from the square root of 2
- A straight line has dimension 1, a plane 2. Fractals have mostly fractional dimension
- Simple quadrilaterals tessellate the plane
- No two integers are equidistant from the square root of 2
- In some circumstances, an index may have a content of its own
- One can drill holes that are almost square
- There is order in chaos
Last updated: July 6, 2018 What has changed? |
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