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You might remember the episode of Star Trek TNG that had the 'almost' unstoppable cyborg in it. Well here is the solution. It can be done today with today's technology not some abstract concept of geometric shapes.....

"Mr. LaForge, have you had any success with your attempts at finding a weakness in the Borg?

And Mr. Data, have you been able to access their command pathways?"

"Yes, Captain. In fact, we found the answer by searching through our archives on late Twentieth-century computing technology."

{Geordi presses a key, and a logo appears on the computer screen.}

{Riker looks puzzled.}

"What the hell is 'Microsoft'?"

{Data turns to answer.}

"Allow me to explain. We will send this program, for some reason called 'Windows', through the Borg command pathways. Once inside their root command unit, it will begin consuming system resources at an unstoppable rate."

"But the Borg have the ability to adapt. Won't they alter their processing systems to increase their storage capacity?"

"Yes, Captain. But when 'Windows' detects this, it creates a new version of itself known as an 'upgrade'. The use of resources increases exponentially with each iteration. The Borg will not be able to adapt quickly enough. Eventually all of their processing ability will be taken over and none will be available for their normal operational functions."

"Excellent work. This is even better than that 'unsolvable geometric shape' idea."

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