Definition: In mathematics, a hypercycle is a subset of a set that satisfies certain conditions. It's like having a very long chain of items, but it only goes up to one point at a time. For example, consider a circle with 10 points on the circumference. A hypercycle can be defined as an infinite sequence of points in a set that is closed under addition and subtraction. This means that you cannot add or subtract two points from each other without changing their positions. For instance
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