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...
- cos(36) = (1 + sqrt(5))/4
- No two integers are equidistant from the square root of 2
- There is something the dead eat but if the living eat it, they die
- There are many things that can be multiplied
- Simple quadrilaterals tessellate the plane
- There is something the dead eat but if the living eat it, they die
- 1/3 + 1/4 = 7/12
- Curves of infinite length may enclose finite areas
- There exist triangular numbers that are also square
- There are trisectable angles that are not constructible
- As in the art, there are imaginary and surreal numbers
- How to write an equation of the union of two sets
- Simple Quadrilaterals Tessellate the Plane
- You can't add apples and oranges but you can add their shapes
- 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
- Curves of infinite length may enclose finite areas
- No two integers are equidistant from the square root of 2
- No two integers are equidistant from the square root of 2
- There are three plane regions that share exactly the same boundary
- There are trisectable angles that are not constructible
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Last updated: July 6, 2018 What has changed? |
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