*Shoes:****G Field*** Jessica Flats – basic – default , Maitreya Flat , Slink Flat Feet – available in 7 colors – each color incl.3 shoe colors (plain , border and white) and 16 bow color (changeable via HUD) – also available 6 Tropical colors – at –

In antiquity, several geometric problems concerned the (in)feasibility of constructing certain numbers with . For example, it was unknown to the Greeks that it is in general impossible to trisect a given angle. Using the field notion and field theory allows these problems to be settled. To do so, the field of is considered. It contains, on the plane, the points 0 and 1, and all complex numbers that can be constructed from these two by a finite number of construction steps using only and . This set, endowed with the usual addition and multiplication of complex numbers does form a field. For example, multiplying two (real) numbers _{1} and _{2} that have already been constructed can be done using construction at the right, based on the . This way, the obtained field contains all rational numbers, but is bigger than **Q**, because for any ∈ , the of is also a constructible number.

While the more general "GN Field" technology have existed ever since the days of the for usage in shields,^{} the development of the " outer spherical" GN Field defense mechanism was first attempted on the second generation as a first option. However, the system that was designed was imperfect and thus did not work properly.^{} The system was later only perfected on its successor, the . During the Plutone development, defensive internal GN Fields are also experimented on for usage inside small parts of the armor to increase defensive capabilities.^{}