The three-dimensional geometries of cavities and channels in four elec
trides are determined in detail with the aid of computer graphics meth
ods. Previous theoretical and experimental studies support the view th
at electrons are trapped in cavities and interact through connecting c
hannels. The magnetic coupling constants and the dimensionalities of t
he magnetic interactions are consistent in all cases with the cavity a
nd channel structures of electrides. By combining structural informati
on and theory, it may be possible to describe the overall electronic p
roperties of electrides with a model of an electron gas in a complex '
'plumber's nightmare box'' whose geometry is given by the cavity and c
hannel structures.