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...

The word 'fraction' derives from the Latin fractio - to break. However, there are continuous fractions
The only triangle with rational sides and angles is equilateral.
Demographic tests show that the person least likely to buy Wired magazine is an American schoolteacher
cos(36) = (1 + sqrt(5))/4
Everything you can do with a ruler and a compass you can do with the compass alone
Two simple polygons of equal area can be dissected into a finite number of congruent polygons
The word 'fraction' derives from the Latin fractio - to break. However, there are continuous fractions
You can position 10 defenders of a square castle so that on every side there will be 5 men
A clock never showing right time might be preferable to the one showing right time twice a day
cos(36) = (1 + sqrt(5))/4
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
As in the art, there are imaginary and surreal numbers
As in the art, there are imaginary and surreal numbers
There is something the dead eat but if the living eat it, they die
Almost every integer has the digit 3 in it
cos(36) = (1 + sqrt(5))/4
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
As in philosophy, there are transcendental numbers
Simple Quadrilaterals Tessellate the Plane
In some circumstances, an index may have a content of its own