cisco router would “forever change the internet”?

No. It would only mean the peak routing bandwidth across one such router is 322Tbps. It is estimated to be three times the speed of existing systems. So backbone traffic may move a little faster, maybe there will be a little less congestion related losses, but no. It would not forever change the internet. Only applications can do that. So much for the hype.

triangular pursuit

Here’s a problem posed to me by a friend:

Consider an equilateral triangle ABC with edge length 1. At each vertex is an object that is capable of movement at exactly speed 1. Beginning at time 0, each of the three objects moves toward its initial adjacent neighbor object, as in a game of pursuit. Of course, by symmetry, the objects will meet at the incenter of ABC. The question: how far will they have traveled?
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