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 compare two complex numbers
- Every infinite set contains uncountably many nested subsets
- The word 'fraction' derives from the Latin fractio - to break. However, there are continuous fractions
- Simple Quadrilaterals Tessellate the Plane
- For every object there is a distance at which it looks its best
- How to write an equation of the union of two sets
- One can cut a pie into 8 pieces with three movements
- Among all shapes with the same area circle has the shortest perimeter
- 1/3 + 1/4 = 7/12
- A straight line has dimension 1, a plane 2. Fractals have mostly fractional dimension
- Simple quadrilaterals tessellate the plane
- There is order in chaos
- There is something the dead eat but if the living eat it, they die
- At any given time in New York there live at least two people with the same number of hairs
- Much as with people, there are irrational, perfect, complex numbers
- Almost every integer has the digit 3 in it
- Bisector of an imaginary angle may be real
- As in the art, there are imaginary and surreal numbers
- cos(36) = (1 + sqrt(5))/4
Last updated: July 6, 2018 What has changed? |
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