# Mathbreakers Labs

## Expanding how we play with numbers

#### What can you do in a 3D math game world?

For the past year and a half we developed the Mathbreakers video game with an eye on the 2nd-6th grade math topics — negatives, operators, and fractions being the primary concepts. We’ve tested and refined the virtual gadgets and machines we use to teach these topics, which can be a long process! While running our Kickstarter campaign, we had the idea to try to build new gadgets and game features to show off the possibilities of our game *beyond* the elementary school level.

### Introducing Mathbreakers Labs

It works like this: first, we meet a math enthusiast who is excited about teaching or expressing a particular topic. They show us something cool in math, and then we work together to figure out how to make it work in Mathbreakers. Charlie, Vivian and I would work together to build a working demo of the concept in Mathbreakers in just three days. Then, we mix a quick video showing off the new features! Now here we are, 3 weeks into it and we have 4 experiments done! You can view them all at mathbreakers.com/labs.

#### Turing Machines

We first did a two-parter — state machines and turing machines — with math tutor Pepe Swer. We represented state machines using trains, tracks, and stations; the train has cars which represent input, and it travels on a track which resembles a logic flow chart. To make our system Turing equivalent we also added a Queue to the train as the caboose.

#### Set Theory

Next we came up with a cool representation of Set Theory basics with our friend Jon Hull. This involved building sets out of suitcases and then combining them in union/difference/subtraction machines. The best part is that you can nest sets inside each other, whether or not they’re empty, to infinity! (Well, ok, not infinity, but that’s a limitation of the computer, not of our logic.)