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...
- Curves of infinite length may enclose finite areas
- 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
- Everything you can do with a ruler and a compass you can do with the compass alone
- There is a simple solution to the affirmative action problem
- Complex number to a complex power may be real
- A clock never showing right time might be preferable to the one showing right time twice a day
- As in the art, there are imaginary and surreal numbers
- 0!=1
- Altitudes have ears, foot, stem, and root
- A straight line has dimension 1, a plane 2. Fractals have mostly fractional dimension
- At any given time in New York there live at least two people with the same number of hairs
- 1/3 + 1/4 = 7/12
- How to write an equation of the union of two sets
- Bisector of an imaginary angle may be real
- At any given time in New York there live at least two people with the same number of hairs
- C - C = [-1, 1]
- Two simple polygons of equal area can be dissected into a finite number of congruent polygons
- As in the art, there are imaginary and surreal numbers
- There are three plane regions that share exactly the same boundary
- There are many things that can be added
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Last updated: July 6, 2018 What has changed? |
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