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James Grime’s house-building problem

Aperiodipal James Grime has put a new video on his YouTube channel. He’s got a problem to do with building houses:

But James posts fantastic videos about maths puzzles all the time; what’s so notable about this one?

I was involved, that’s what! The puzzle can be done on pen and paper but it involves a lot of drawing and calculating, so James asked if anyone could make a computery version. I spent my day off work last week making just such a thing: the computerised Building Houses Problem.

Puzzlebomb – February 2014

Puzzlebomb Logo

Puzzlebomb is a monthly puzzle compendium. Issue 26 of Puzzlebomb, for February 2014, can be found here:

Puzzlebomb – Issue 26 – February 2014

The solutions to Issue 26 can be found here:

Puzzlebomb – Issue 26 – February 2014 – Solutions

Previous issues of Puzzlebomb, and their solutions, can be found here.

Puzzlebomb – January 2014

Puzzlebomb Logo

Puzzlebomb is a monthly puzzle compendium. Issue 25 of Puzzlebomb, for January 2014, can be found here:

Puzzlebomb – Issue 25 – January 2014

The solutions to Issue 25 can be found here:

Puzzlebomb – Issue 25 – January 2014 – Solutions

Previous issues of Puzzlebomb, and their solutions, can be found here.

Manchester MathsJam Recap, December-ish 2013

BZdomXqIYAAORpwSince I haven’t written a MathsJam recap for a few months, due to extreme busyness, this post will recap things which happened at December’s MathsJam as well as some other things I found in the pile of scrap paper when I went to tidy it all away over New Year.

Puzzlebomb – November 2013

puzzlebomb_squarePuzzlebomb is a monthly puzzle compendium. Issue 23 of Puzzlebomb, for November 2013, can be found here:

Puzzlebomb – Issue 23 – November 2013

The solutions to Issue 23 can be found here:

Puzzlebomb – Issue 23 – November 2013 – Solutions

Previous issues of Puzzlebomb, and their solutions, can be found here.

Jos’ Perfect Cuboid

Inspired by our Open Season post on the Perfect Cuboid earlier this year, Aperiodical reader Jos Schouten wrote to us describing his work on the problem over the past 20 years. He’s looking for someone to help take his work further. Are you up to the challenge?

Survey of the Perfect Cuboid

This article is about my search for the Perfect Cuboid (PC), which started exactly on Wednesday April 15, 1987. At that time I was a young engineer with feelings for mathematics, and employed to write C-language programs on a UNIX platform. Since then I’ve written software and explored ideas to find the cuboid, at work and at home. I still haven’t found one!

This article is also hoping to find someone in the world community as sparring partner, who likes the subject, wants to propose additional solution methods, and can help to implement such a method. The attempt will be to find a perfect cuboid with an odd side less than a googol.

Statement of the Problem

The problem is easy to state, extremely difficult to solve, but a solution, once found, would be easy to verify.

The problem in words:

Find a cuboid whose sides are integer lengths, whose face diagonals are integers and whose space diagonal (from corner to opposite corner) is integral too.

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