Marko Rodin has studied a series of simple regularities in the decimal number system. From these he derives his "Vortex mathematics". Vortex mathematics is purported to explain all mathematical operations, the genes, and non-decaying energy. These regularities are inherent to the decimal system because of its base. You can find similar regularities in systems other than the decimal. They are for example applied in binary arithmetic - to make the computer work you're sitting in front of.
The Rodin Coil consists of a pair of wires wrapped around a doughnut-shaped core in a star pattern. Rodin claims this particular design, deduced from his number theory, yields different electromagnetic properties than any other coil - enabling it to create perpetual energy, and thus breaking fundamental laws of physics. Rodin admits no being able to build those coils himself - as he is "not an electrical engineer" (see
http://www.youtube.com/watch?v=zVrrtigKcpE&feature=related at 3:00). In absence of any scientific proof, it remains therefore highly questionable, to say the least, whether the Rodin coil has any special physical properties.
According to Rodin, the coil represents the underpinning geometry of the universe, which draws its non-decaying energy from the vortex, the zero.