: In topology, the concept of poles and holes can be quite abstract. A pole might refer to a point where a function goes to infinity, and a hole can refer to a void or gap within a topological space.
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In a literal sense, our modern infrastructure is a vast network of poles and holes.
These are values that cause a mathematical function to go to infinity. In a physical system, like a bridge or a radio circuit, a "pole" represents a frequency where the system might vibrate uncontrollably or "blow up."
