An alternative name for the infinity sign, which looks similar to a number 8 rotated 90 degrees, is a "lemniscate" - deriving from the Latin word "lemniscus", meaning ribbon.
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An infinite set whose elements can be put into a one-to-one correspondence with the set of integers is said to be countably infinite; otherwise, it is called uncountably infinite.
A flat surface with an infinite length and width but no depth is called a plane.
That is called a line.
The infinity sign ∞ is sometimes called the lemniscate.