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...
- A continuous function may grow considerably virtually without changing
- Among all shapes with the same area circle has the shortest perimeter
- 1/3 + 1/4 = 7/12
- 0!=1
- Two simple polygons of equal area can be dissected into a finite number of congruent polygons
- As in philosophy, there are transcendental numbers
- As in the art, there are imaginary and surreal numbers
- Sphere has two sides. However, there are one-sided surfaces
- One can cut a pie into 8 pieces with three movements
- A straight line has dimension 1, a plane 2. Fractals have mostly fractional dimension
- 0!=1
- One can drill holes that are almost square
- Some numbers are lucky. 13 is one
- There are three plane regions that share exactly the same boundary
- Simple quadrilaterals tessellate the plane
- Altitudes have ears, foot, stem, and root
- Every composite number is the product of some factors and also the sum of the same numbers
- Sets may be thick, thin and normal
- No two integers are equidistant from the square root of 2
- There are curves that fill a plane without holes
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Last updated: July 6, 2018 What has changed? |
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