Marbleworks Compatible HypoSquare

This is a part of a parent collection of many different marble tracks compatible with Marbleworks Grand Prix marble set. See remix source for larger collection of marble tracks.

Circle your towers in style and watch marbles swing around and around! This design takes marbles on an extended trip to the bottom of the marble tower by passing through a number of loops on the way.

*Warning*: The torque from those turns is quite strong. it only takes a couple marbles to knock it over if it's not part of a larger design. Use this knowledge however you will.

As for the math, this is a Hypotrochoid with 12-3-6 parameterizations. This equates to

```
x(t) = 9 cos(t) + 6 cos((9 / 3) t)
y(t) = 9 sin(t) - 6 sin((9 / 3) t)
```

which simplifies to

```
x(t) = 3 cos(t) + 2 cos(3 t)
y(t) = 3 sin(t) - 2 sin(3 t)
```

Enjoy!

**Edit**

The anti-jam mechanism in the tower is more smoothly attached to the rest of the ramp now.