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...
- You can't add apples and oranges but you can add their shapes
- Simple quadrilaterals tessellate the plane
- There are many things that can be added
- The Length of the diagonal of the unit square equals the square root of 2
- Among all shapes with the same perimeter a circle has the largest area
- Two simple polygons of equal area can be dissected into a finite number of congruent polygons
- In some circumstances index equals the content
- Sphere has two sides. However, there are one-sided surfaces
- The Length of the diagonal of the unit square equals the square root of 2
- In some circumstances, an index may have a content of its own
- Complex number to a complex power may be real
- In some circumstances index equals the content
- A clock never showing right time might be preferable to the one showing right time twice a day
- Almost every integer has the digit 3 in it
- A straight line has dimension 1, a plane 2. Fractals have mostly fractional dimension
- You are wrong if you think Mathematics is not fun
- The Length of the diagonal of the unit square equals the square root of 2
- A straight line has dimension 1, a plane 2. Fractals have mostly fractional dimension
- To get cafe au lait one should carry coffee to milk and not milk to coffee
- In a group of 23 people, at least two have the same birthday with the probability greater than 1/2
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Last updated: July 6, 2018 What has changed? |
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