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Perplex – OU & UKMT puzzle app

Perplex main title screen

The Open University and UK Mathematics Trust have teamed up to launch Perplex, a mobile app containing mathematical puzzles and games. It’s available for iPhone and Android, and can also be played directly on their website.

Math Teachers at Play #104

Welcome to #104 of the Math Teachers At Play (MTaP) blog carnival. A blog carnival is a regular blogging round up coordinated by someone (in this case Denise Gaskins) that moves around different blogs each edition. This time, I’m taking a turn.

Puzzlebomb – December 2016

Puzzlebomb LogoPuzzlebomb is a monthly puzzle compendium. Issue 60 of Puzzlebomb, for December 2016, can be found here:

Puzzlebomb – Issue 60 – December 2016 (printer-friendly version)

The solutions to Issue 59 can be found here:

Puzzlebomb – Issue 60 – December 2016 – Solutions

This will be the last regular monthly Puzzlebomb – in future, there will be occasional one-offs but regular editions are taking a break. If you have any ideas for puzzles, please send them in! Previous issues of Puzzlebomb, and their solutions, can be found at

CP’s solid used as the basis of a puzzle

Back in 2013, our own Christian Lawson-Perfect came up with a way of making a solid from the smallest non-Hamiltonian graph, the Herschel Graph. Called the Herschel Enneahedron, it’s got nine faces (three squares and six kites) and the same symmetries as the graph itself.

The most recent news is that Spektrum magazine – sort of a German version of New Scientist – has included in its regular puzzle column a Herschel Enneahedron-related challenge. Here’s Google’s best effort at translating it:

Please make a polyhedron of 3 squares and 6 cover-like kite rectangles with suitable dimensions (in your thoughts, drawings or with carton). What symmetry properties does it have, how many corners and edges? Is it possible to make a (Hamilton-) circular path on its edges, which takes each corner exactly once and does not use an edge more than once?

Before you get out your cartons and start working on this, given that we started from a graph which isn’t Hamiltonian, you may have a slight spoiler on the answer here… but the solution given includes some nice videos and explanation as to how the solid is formed.

Treitz Puzzles 313, at

The maths of the Grime Cube

Not content with already having five cubes named after him, internet maths phenomenon James Grime has now developed a new Rubik’s cube-style puzzle for internet maths joy merchants Maths Gear. I’ve been slightly involved in the development process, so I thought I’d share some of the interesting maths behind it.

Another name for a Rubik’s cube is ‘the Magic Cube’ – and Dr James Grime wondered if you could make a Magic Cube which incorporates its 2D friend, the Magic Square.

Mathematical advent calendar 2016 roundup

There seem to be a bumper list of mathematical advent calendars this year, even though the stellar efforts of Katie and Christian’s Aperiodvent Calendar 2015 aren’t being repeated. There aren’t yet enough for an advent calendar with a different mathematical advent calendar behind each door, so we thought a straight round up was the way to go.