## Monthly Archives for January, 2013

## Trisection of an Angle via Origami

**Continue reading the story**"Trisection of an Angle via Origami"

## Steiner points

## Band around the Earth - An Easy Puzzle

**Continue reading the story**"Band around the Earth - An Easy Puzzle"

## Button Trap Room

**Continue reading the story**"Button Trap Room"

## The blue-eyed islanders puzzle

**Continue reading the story**"The blue-eyed islanders puzzle"

## Brownian Motion

Suppose the starting point of a particle undergoing Brownian motion in 2 dimensions is chosen uniformly at random on an imaginary circle C1. Suppose there is a solid circle C2 completely inside C1, not necessarily concentric. Show that the particle hits the boundary of C2 with the uniform distribution.

via Puzzles.

## Locks and Switches

**Continue reading the story**"Locks and Switches"

## Sphagetti Breakfast

A bowl of spaghetti contains n strands. Thor picks two ends at random and joins them together. He does this until no ends remain.

What is the

a) expected number of spaghetti loops in the bowl?

b) expected average length of the loops? (in strands)

c) expected number of k-hoops? ( a k-hoop is a loop made from k strands)

via CSE Blog - quant, math, cse puzzles: Sphagetti … **Continue reading the story** "Sphagetti Breakfast"

## Lion in a Circular Cage Puzzle

A lion and a lion tamer are enclosed within a circular cage. If they move at the same speed but are both restricted by the cage, can the lion catch the lion tamer? (Represent the cage by a circle, and the lion and lion tamer as two point masses within it.)

via CSE Blog - quant, math, cse puzzles: Lion in a Circular Cage Puzzle.