The first step is to convert the two tablets to numbers:

This gives us the following results:

7 | 10 | 5 | |

9 | 1 | 5 | |

7 | 8 | 10 | |

9 | 2 | 9 |

3 | 6 | 2 | |

6 | 8 | 7 | |

3 | 4 | 7 | |

6 | 9 | 11 |

Notice that the first column does not change. The first step is to calculate the difference between the incorrect and correct co-ordinates. Subtract the incorrect coordinates (top two rows on each tablet) from the correct coordinates (bottom two rows) to get the corrections:

0 | -2 | +5 | |

0 | +1 | +4 |

Now take the coordinates for Mathia you saw in the lens reflection:

10 | 1 | 9 | |

3 | 12 | 10 |

And apply the correction to get:

10 | -1 | 14 | |

3 | 13 | 14 |

The controls work a bit like clocks with one rotation of the outer rings equal to one division on the inner rings. Since the control panels only have 12 positions we need to adjust this result to allow us to press the buttons.

Using the corrected co-ordinates: 14 is 12 + 2 so subtract 12 from the last column and add 1 to centre column to get:

10 | 0 | 2 | |

3 | 14 | 2 |

But the controls do not have a 0 so this must be equivalent to a 12 and the 14 is 12 +2 so ignore the 12 (because the left hand column does not change). The corrected co-ordinates are:

10 | 12 | 2 | |

3 | 2 | 2 |

Phew!

If you have found this walkthrough useful, discovered an error or have a suggestion then let me know: feedback.