## 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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