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Good Problems

Every week a new challenging problem about Bengt and his friends.

Contents

Fun with the ISO 216 Standard
The Problem with Bathtubs
Bengt vs. Peano, part s(0)
Bengt vs. Peano, part 0
The brachistochrone, the catenoid, and a skateboard ramp
A Childish Problem
Misunderstanding Maths
Hole Puncher of Horrors
Bengt vs. Turing
Red Light Optimisation
A Simple Board Game
A Cup of Tea
Easy Month: Rock Paper Scissors
Easy Month: How to Start a Rebellion
Easy Month: Jumping in the Lift
Easy Month: A Ton of Feathers
Text-Chatting Aliens
Phone Strategy
Marble Problem 3
Marble problem 2
Marble problem 1
Bad Traffic Behaviour
Ill Logic
Chess problem 3
Chess problem 2
Chess problem 1
Too Fast for Physics
Mystery Wheels
Numbers that Grow on Trees
Nightly Tag
More Solid Geometry and Booze
Darts
The Paper Dragon
Fireworks
Christmas Equation
Running Aliens
A Big Cube and a Little Cube
A Slowly Growing Number Sequence
Technology Logo
A Different Kind of Relativity
Equation with Three Unknowns and One Well Known
A Different Kind of Boat
The Great Clock
Espresso Numbers
The Hotel Manager
A Taste of Combinatorics
The Alumium Can
Two Very Long Steel Wires
Pacman's Adventures in Curved Space
Rapunzel
Solid Geometry and Booze
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How to use

Many of these problems are quite difficult. Most of them require some knowledge of maths or physics to solve, and some you might not be able to solve anyway. But if you are like me, you can enjoy a good problem even without solving it.

For now, I have disabled comments, so as not to spoil the fun by showing any solutions. I will probably put up a page later to give credit to those who have solved any of the problems, and perhaps show the solutions too. If you have solutions, partial solutions, questions, or any other type of comments, send me an email: niklas.zechner{at}gmail.com

Previous Problems

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      • The Two Oracles

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