# Convergence articles

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This website devoted to miscellanea about Archimedes contains much interesting material about his life and times.
A survey of the attempts to prove Kepler's conjecture over the past 400 years.
A man and his wife drink a barrel of wine at different rates. Find the rate it takes both of them together to drink the wine.
In Archimedes' Book of Lemmas (ca 250), he introduces a figure that, due to its shape, has historically been known as "the shoemaker's knife" or arbelos.

Here are all articles, classroom activities, and reviews arranged into annual volumes starting with 2004.

Now there are six-headed four legged animals and four-headed two-legged birds. Find the total number of animals and birds.
A ladder has 100 steps. On the first step sits 1 pigeon; on the second, 2; on the third, 3; and so on up to the hundredth. How many pigeons in all?
What is the perpendicular height of a cloud when it's angles of elevation were 35 degrees and 64 degrees as taken by two observers?
Determine the radii of three equal circles decribed within and tangent to a given circle, and also tangent to each other
A castle has n rooms each of which has 7 samurai in it.