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...
- Simple quadrilaterals tessellate the plane
- You can't add apples and oranges but you can add their shapes
- One can drill holes that are almost square
- As in philosophy, there are transcendental numbers
- There are really impossible things
- There are many things that can be multiplied
- Complex numbers are in a sense perfect while there is little doubt that perfect numbers are complex
- You can position 10 defenders of a square castle so that on every side there will be 5 men
- No two integers are equidistant from the square root of 2
- In the sequence of all integers, there are arbitrary long runs with no primes
- Complex number to a complex power may be real
- You are wrong if you think Mathematics is not fun
- Among all shapes with the same perimeter a circle has the largest area
- Bisector of an imaginary angle may be real
- The Length of the diagonal of the unit square equals the square root of 2
- There are many things that can be added
- Everything you can do with a ruler and a compass you can do with the compass alone
- 1/3 + 1/4 = 7/12
- Sphere has two sides. However, there are one-sided surfaces
- 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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