One of my main projects while at 22 Squared was the Marriott Executive Apartments re-brand. The logo needed an update, so we decided to replace the mark with something evoking the three brand pillars; "fluidity", "balance" and "connectivity."
Scroll down for a peek into the logo's birthing process:

Working through ideas on paper
Initial sketches: Working through ideas on paper

Developed ideas in the computer
Initial sketches 2: Developed ideas in the computer

Thought about chains, links, etc.
First Infinity sketches: Thought about chains, links, etc.

Client wanted to revise slightly
Infinity revisions: Client wanted to revise slightly

The final approved logo (right).
Approved!: The final approved logo (right).