At this year’s MathsJam UK Gathering, I had the pleasure of running one of the Saturday Night Tables – a chance to invite attendees at the Gathering to drop by and play with something. Together with fellow Manchester MathsJam regular Andrew Taylor, I ran a table of **Mathematical Drawing Hacks** – ways to make drawing complex mathematical objects and shapes easier.

I thought it’d be nice to share some of the ‘hacks’ we brought, and those others contributed – so I’ve included photos of each below, in case any of them are useful to you. Enjoy!

### How to draw a Möbius Band

Andrew’s contribution (which slightly inspired the whole idea for the table). We all agree it’s a little bit ‘draw the rest of the owl‘, but I think it’s lovely.

### How to draw a curly bracket ({)

This was my contribution – one of my students showed me this and it’s changed my life (intersection with the times when I have to draw a set bracket).

### How to draw a tetrahedron in 3D

### How to draw an impossible triangle

### How to draw equally-spaced horizontals in one-point perspective

### How to draw a mathematically plausible football (truncated icosahedron)

### How to draw a lower-case ash in one stroke

Thanks, Ash!

### Cool S

Scroggs just walked up and drew a Cool S and then left. Legend.

Do you know of any cool drawing hacks you can share? Add them in the comments!

“I said consummate v’s! Consummate!”

Jeez!

To draw the expression for a rank-1 matrix in bra-ket notation, namely

\[

|v\rangle\!\langle w|

\]

Draw the first bar, then the v, then (this is the secret part) draw a capital-X, then finish the w and the bar.