Problem of the Week (36)
In the tribe of Zimmer, being able to hike long distances and knowing the roads through the forest are both…
Turbomachines
1.0. Introduction: On the 25th of August 2020, a Tokyo-based engineering company, SkyDrive Inc., carried out the first ever successful test of a piloted eVTOL (electric vertical…
Problem of the Week (35)
This an incredible problem—incredible because it seems to lack sufficient data for a solution. A cylindrical hole six inches long…
Problem of the Week (34)
The solution of the equation can be expressed in the form . Find . Source: AMC 12A 2010 Happy problem…
Entropy
“What makes the world go round are not sources of energy, but sources of low entropy. Without low entropy, energy…
Problem of the Week (33)
Suppose there exists a convex (all angles less than 180 degrees) -gon (polygon with sides) such that each of its…
Irrational Powers (Part 1)
The solution discussion to Problem of the Week 11 may have got you thinking, what does it mean to raise…
Problem of the Week (30)
For how many real values of is an integer? Source: AMC 12A 2006 Happy problem solving! Email your solutions to [email protected]
Problem of the Week (29)
You have an x square which you know can be tiled completely, without overlaps, by 2×2 and 3×3 squares, using…
Problem of the Week (27)
A logician vacationing in the South Seas finds himself on an island inhabited by the two proverbial tribes of liars…
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