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This is a summary of links on the superfunctions of the sqrt(2).

The upper super-exponential, with posts by Dimitrii, and Henryk, and others. http://math.eretrandre.org/tetrationforum/showthread.php?mode=linear&tid=260&pid=3296#pid3296

A thread titled "Bummer", which is a nice historical thread on the iterations of the sqrt(2). http://math.eretrandre.org/tetrationforum/showthread.php?mode=linear&tid=69&pid=534#pid534

A thread on the regular slog http://math.eretrandre.org/tetrationforum/showthread.php?tid=70

Another thread, calculating the theta(z) between the two superfunctions of sqrt(2). http://math.eretrandre.org/tetrationforum/showthread.php?mode=linear&tid=515&pid=5366#pid5366

A thread on the branch points of Eta, which includes graphs, and data on the superfunctions of sqrt(2). http://math.eretrandre.org/tetrationforum/showthread.php?tid=648

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