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...
- To get cafe au lait one should carry coffee to milk and not milk to coffee
- As in philosophy, there are transcendental numbers
- Simple quadrilaterals tessellate the plane
- At any given time in New York there live at least two people with the same number of hairs
- Some numbers are square, yet others are triangular
- There are things distant yet near. There are others that are near yet distant
- There are three plane regions that share exactly the same boundary
- A clock never showing right time might be preferable to the one showing right time twice a day
- 0!=1
- There are many things that can be added
- A continuous function may grow considerably virtually without changing
- Some numbers are lucky. 13 is one
- At any given time in New York there live at least two people with the same number of hairs
- Two simple polygons of equal area can be dissected into a finite number of congruent polygons
- There are curves that fill a plane without holes
- Among all shapes with the same perimeter a circle has the largest area
- Every infinite set contains uncountably many nested subsets
- Almost every integer has the digit 3 in it
Last updated: July 6, 2018 What has changed? |
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