  This paper has been withdrawn by the author. Ferrofluids suspended in liquids
and constrained in quasi-two dimensional domains were exposed to transverse
magnetic fields. The points of elliptical instability of nearly circular drops
were measured and compared to the theoretical prediction using a fitting
parameter. The data matched the predicted trend well for 3 different liquids
used as suspensions; however, at extreme values of drop radius, there was a
significant deviation from prediction. The angles at each node of the
labyrinthine pattern, formed using high magnetic fields, were measured and
compared with the prediction of 120 degrees. For the dense labyrinth the most
common angles were between 135 degrees -144 degrees, suggesting interaction
between arms were having a repelling effect causing angles to widen. For the
less dense labyrinth the most frequent angle category decreased, supporting
this hypothesis. In the experiments the area, which theoretically should be
constant, was noticed to change and this encouraged an investigation into how
the area varied with an increasing field. A decrease in area is seen initially,
as expected, due to the ferrofluid experiencing a force upwards due to the
field. This was deduced to be an effect of modelling the 3 dimensional system
as quasi-two dimensional. An unpredicted effect, causing the area to increase
after elliptical instability had been reached, was noted in several results and
was hypothesised to be due to a bulging around the sides of the ferrofluid when
the field was large.
