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My adventures in 3D printing: Wallis’ Sheldonian theatre roof

At work we’ve got a 3D printer. In this series of posts I’ll share some of the designs I’ve made.

Several dozen black beams woven together to make a single structure, supported only at the edges.

The roof of the Sheldonian theatre in Oxford, built from 1664 to 1669, is constructed from timber beams which are unsupported apart from at the walls, and held together only by gravity.

My adventures in 3D printing: Spherical pseudo-cuboctahedron

At work we’ve got a 3D printer. In this series of posts I’ll share some of the designs I’ve made.

This shape is a “spherical pseudo-cuboctahedron”, prompted by a request from Jim Propp on the math-fun mailing list.

3D printed sphere with edges cut out of it, making squares and triangles which meet halfway along the edges

It has 24 vertices, 12 edges and 14 faces. That doesn’t satisfy Euler’s formula $V – E + F = 2$, so it can’t be a proper polyhedron – hence “pseudo-cuboctahedron”.

However, if you push all the vertices onto the surface of a sphere, all the edges are spherical arcs, it sort of works.

While designing this object, I got fed up with OpenSCAD‘s awkward control syntax, and switched to Python. I wrote Python code to produce the coordinates of points along the edges, which the SolidPython library turned into something that OpenSCAD can cut out of a sphere.

You can download all the files needed to print your own spherical pseudo-cuboctahedron from Thingiverse.

My adventures in 3D printing: Write Angles Cube

At work we’ve got a 3D printer. In this series of posts I’ll share some of the designs I’ve made.

Three whiteboard stuck in the write angles cube at right angles.

This is one of the first ‘proper’ things I’ve designed – I wanted to have a go at making something based on an object I already had. A colleague asked if I could make some props to explain coordinate systems, and I was holding a whiteboard pen at the time, so I decided to make a set of orthogonal axes out of whiteboard pens.

Simon Singh wants someone to help with Top Top Set

Top-Top Set Maths logo

Simon Singh, author of Fermat’s Last Theorem and The Code Book, among others, has for the last three years been running a project called Top-Top Set. It’s an enrichment project to stretch kids at non-selective state schools in the UK.

Now, Simon is looking for an experienced maths teacher to help him grow the project even further.

Responsibilities for the Top-Top Set Project Co-ordinator include:

  • Developing the top-top set project to maximise its impact and cost-effectiveness.
  • Supporting and visiting the schools currently
  • Helping schools implement the top-top set model to full effect.
  • Recruiting more schools to start in September 2020.
  • Working with potential and existing funders.
  • Teaching top-top sets or potential top-top set students.
  • Developing resources for and managing the online Parallel Project.

If that sounds like something you’d like to do, find more information about how to apply at the Good Thinking Society website.

If that doesn’t sound like something you’d like to do, or just while you’re waiting to hear if you’ve got the job, check out Parallel, a set of free weekly maths challenges developed to support Top-Top Set, but available to everyone.

Cédric Villani is running for mayor of Paris

Cédric Villani under an umbrella

Fields medallist Cédric Villani has announced he’s running to be mayor of Paris.

Villani is already a deputé for Emmanuel Macron’s La République en Marche! party, but his ambition doesn’t seem to be bounded above, so now he wants to be mayor of Paris.

France has already had a mathematician President, Paul Painlevé, so I’m surprised to see Villani revisiting a solved problem. Maybe he’s going for an induction…

How far will Cédric Villani go to achieve his goal? Well, here’s a piece in Le Parisien featuring a photo of him in an open-necked shirt and without his signature spider brooch. Watch out, world!

A press release on Villani’s website also mentions that he’s got a book out in February, Immersion, de la science à la politique, reflecting on his experiences campaigning and in parliament.

TeXnique: a LaTeX typesetting game

You know what’s fun? Typesetting mathematics! Glad you agree, because here’s a game that puts the fun in ‘underfilled hbox’.

Screenshot of TeXnique. A box showing the target formula above a box showing a rendering of code typed in the box below.

In TeXnique, you’re shown a typeset bit of mathematical notation, and have to frantically type LaTeX to reproduce it. You get three minutes, and you’re awarded points when you produce something that’s a pixel-perfect replica of the original. Think Typing of the Dead crossed with The Art of Computer Programming.

When I first saw this I rolled my eyes, but now my high score is 68 and I don’t know why I keep going back to it.

The formulas are largely well-known snippets of notation, so you might find some of them coming out through muscle memory, but if a symbol shows up that you can’t remember the macro for, there’s always the brilliant Detexify tool.

Play: by Akshay Ravikumar.