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This article is about the Latin phrase, you may have been looking for: Ad infinitum, the short lived British musical group, AD Infinitum is also the name of a software product that assists in the management of Active Directory. Wikipedia does not have an article with this exact name. ... Wiktionary is a multilingual, Web-based project to create a free content dictionary, available in over 150 languages. ... Ad Infinitum was a musical group which was part of the Factory Records stable. ... Typically Active Directory is managed using the graphical Microsoft Management Console. ...

Ad infinitum is a Latin phrase meaning "to infinity." Latin is an ancient Indo-European language originally spoken in Latium, the region immediately surrounding Rome. ... This page lists direct English translations of common Latin phrases, such as veni vidi vici and et cetera. ... The infinity symbol ∞ in several typefaces The word infinity comes from the Latin infinitas or unboundedness. ...

In context, it usually means "continue forever," and thus can be used to describe a non-terminating process, a non-terminating repeating process, or a set of instructions to be repeated "forever", among other uses. It may also be used in a manner similar to the Latin phrase "et cetera" to denote written words or a concept that continues for a lengthy period beyond what is shown. Examples include: There are very few or no other articles that link to this one. ...

• "The series 2, 4, 6, 8, 10 ... continues ad infinitum."
• "The perimeter of a fractal may be iteratively drawn ad infinitum."
• The 17th century writer Jonathan Swift mocked the idea of self-similarity in natural philosophy with the following ditty:

"So nat'ralists observe, a flea

Hath smaller fleas that on him prey,

And these have smaller fleas that bite 'em,

And so proceed ad infinitum."

• Which was itself parodied by the Victorian era mathematician Augustus De Morgan:

"Great fleas have little fleas upon their backs to bite 'em,

And little fleas have lesser fleas, and so ad infinitum.

And the great fleas themselves, in turn, have greater fleas to go on,

While these again have greater still, and greater still, and so on."

In mathematics, a series is often represented as the sum of a sequence of terms. ... It has been suggested that Fractal animation be merged into this article or section. ... Jonathan Swift Jonathan Swift (November 30, 1667 – October 19, 1745) was an Irish priest, satirist, essayist, political pamphleteer, and poet, famous for works like Gullivers Travels, A Modest Proposal, A Journal to Stella, The Drapiers Letters, The Battle of the Books, and A Tale of a Tub. ... A self-similar object is exactly or approximately similar to a part of itself. ... Queen Victoria (shown here on the morning of her Ascension to the Throne, 20 June 1837) gave her name to the historic era The Victorian Era of Great Britain marked the height of the British industrial revolution and the apex of the British Empire. ... Augustus De Morgan (June 27, 1806 – March 18, 1871) was an Indian-born British mathematician and logician. ...

See also

• Turtles all the way down
• Möbius strip