glyph 86: mathematics . dynamical systems ... beyond exponentiation ... example of mathematical innovation/invention ... fractals ... mathematica, Wolfram



What Lies Beyond Exponentiation?

Welcome to, a new web site. The purpose of this web site is to promote research into the question of what lies beyond exponentiation. Tetration is defined as iterated exponentiation but while exponentiation is essential to a large body of mathematics, little is known about tetration due to its chaotic properties. Mathematicians have been researching tetration since at least the time of Euler but it is only at the end of the twentieth century that the combination of advances in dynamical systems and access to powerful computers is making real progress possible. It is my hope that this site will have something of interest for everyone from high school students to mathematicians researching tetration. I particularly recommend taking a look at the section on fractals and maybe even getting a copy of Fractint and exploring tetration on your own. —Daniel Geisler,

Atlas of Tetration:
entered before July 9, 2006; edited/updated November 26, 2015

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