The puzzles in this page will generally be examples of the categories I enjoy most  those involving geometry, topology, probability, and truth paradoxes. Presenting them will often involve the use of tables and figures. The page should still be readable with textbased browsers such as Lynx, provided the reader has some way of downloading and viewing gif figures.
I IN THIS ROOM THERE IS A LADY, AND IN THE OTHER ROOM THERE IS A TIGER

II IN ONE OF THESE ROOMS THERE IS A LADY, AND IN ONE OF THESE ROOMS THERE IS A TIGER 
One of the signs is true, but the other one is false. Which door would you open (assuming, of course, that you preferred the lady to the tiger)?
I AT LEAST ONE OF THESE ROOMS CONTAINS A LADY

II A TIGER IS IN THE OTHER ROOM 
The statements are either both true or both false. Which room should you pick?
I EITHER A TIGER IS IN THIS ROOM OR A LADY IS IN THE OTHER ROOM

II A LADY IS IN THE OTHER ROOM 
Once again, the statements are either both true or both false. Does the first room contain a lady or a tiger? What about the other room?
ABC is an isosceles triangle such that AB = AC and the vertex angle BAC is 20 degrees. Points D and E lie on AC and AB respectively such that angle DBC = 60 degrees and angle ECB = 50 degrees. All you have to do is find angle BDE.
The new Supreme Ruler of Byronia, Norman Machismo, is a virile, hottempered male who gained total power by defeating a rebellious army of hermaphrodites. To solve the "hermaphrodite problem" Machismo has issued the following decree: Every mother on Byronia, as soon as she or it gives birth to a hermaphrodite, is to be rendered incapable of further conception.
Machismo reasoned like this. Some mothers are sure to have two, three, four, or even more male and female children before giving birth to a hermaphrodite. True, occasionally, a mother will have a hermaphrodite first child, but that will be the end of her childbearing, so these births will contribute only a small percentage of hermaphrodites to the population. In this way the proportion of hermaphrodites in the population will steadily diminish.
Will the Supreme Ruler's plan work?
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