Politicians salaries and corruption
How much does political corruption have to do with the average politicians wage rather than generally well organised and less corrupt countries will tend to have more money because of that?
I have collated data from 21 countries included corruption perception, average weekly wage and politicians wages and tried to do some analysis.

Politicians salaries This graph shows politicians wages in the x axis and corruption perception on the y axis. Higher on the corruption perception index means less corrupt. There is weak correlation between politicians wages and corruption though there is still a slight correlation.

Average workers salaries

This graph shows average workers wages in the x axis and corruption perception on the y axis.

Taking in mind there are only 21 countries in this graph, there is a strong correlation between average workers wages and a perception of less corruption.

Does it make a difference if you increase the average politicians salary higher than the average population? This graph shows politicians wages minus the average workers wages in the same country on the y axis and corruption perception on the x axis. The trend is again weak, I have also created a graph showing politicians wages above workers wages as a percentage and a fraction and there is still no clear correlation at all.

Summary

There is no clear evidence in this data that higher politicians wages lead to less corruption perception. There is a high correlation between average wages and corruption where this could be a factor that less corrupt countries are better environments for more prosperous companies and people what will increase average wages.

Again there is little data showing that increasing politicians wages will combat corruption though we haven't looked into very low paid politicians compared to workers as they maybe more perceptible to corruption.

Again we have to remember this only included 21 countries and only goes off corruption perception and average wages doesn't directly translate into better organised companies.

What nets can be folded into a cube?
Not all nets of six squares can be folded up into a cube, such as a line of six squares, so is there anyway to know what nets can be folded up into a cube with a few simple rules? I am glad to say yes.

Find any point of the net where three squares meet. From this point draw three lines that goes across two squares but diagonally one. Remember where two squares meet you will have two vertices but the lines can't land on anything above three vertices If you can do this the net can be folded up into a cube.

Why across two and diagonally one?

Any point where three squares meet on the net would be the corner of the cube when folded, going across two squares and diagonally one would be the opposite corner of the cube. When the lines go across every square it shows it has to be able to fold into a cube. The lines do not have to go through every square though so how do we know the reminding square is in the correct position? I will not explain it here but you will find that it has to be in the correct position otherwise you would not be able to link three corners to three other vertices.