Assuming that Web 3.0 involves the emergence of practical Semantic Web applications, we can expect to see plenty of logos based on a visualization of graphs depicting nodes within a network. Ehm, like this:

Don’t underestimate the highly creative use of the dot on the lowercase letter i as a node within the network. Real cutting-edge designers will possibly use the letter o. Oh, and for goodness’ sake, use orange and blue in the logo, okay? Dare to be different.

If you want to really turn Web 3.0 on it’s head, join me in designing square, tree-hierarchical logos for semantic web applications. In Microsoft Word. No, make that Powerpoint. No, Paint. No, ASCII. Just to keep these people on their toes.

[On a serious note, I'm testing the Twine beta and find it an awesome concept. These types of apps will change how we as end users approach information. To their credit, they are also one of the first apps in this space to utilize the network-graph-logo-with-the-dot-on-the-i-as-a-network-node design meme.]