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Number Systems in 3D

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The points are the set , which is the first approximation of the fractional part in the base- system with digits.

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This is a natural generalization of ordinary numeration systems with complex bases, but this time we treat the space as ℝ⨯ℂ, where the first coordinate is along and the second is in the plane orthogonal to . Addition and multiplication are done component-wise using the coordinates, and , .

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Contributed by: Jarek Duda (March 2011)
Open content licensed under CC BY-NC-SA

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For more information on the theory behind this Demonstration, see:

http://xxx.arxiv.org/pdf/0712.1309

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