Another concept we can envision is to incorporate a building-like graphic. The building-like design could be made somehow using the letters "E" and "C" in block format. Here's an example:
http://www.pixellogo.com/logos-cards/non-exclusive-logo-card/B-Logo-2186. This example gave us the idea of finishing off the blue blocks to make it look like a 2-dimensional E (but our blue would be more of a royal blue color) and the edge of the "E" that forms a "C" (facing the front) could be in a goldish/yellow color to distinguish the 2 letters but still allowing them to be a part of the building-like structure. Or, it could just a be a building-like design (without incorporating the letters) that is relevant to the concept of The Edge Corporation's business. Here's an example of that:
http://www.pixellogo.com/logos-cards/non-exclusive-logo-card/B-Logo-2221. We like the 2D or "flat 3D" look as shown in the logo samples in the above links. It's modern and creative, yet still professional and simple.