Radix Representations using Cubic Bases

William Gilbert

Pure Mathematics Department, University of Waterloo, Ontario, Canada

Base b with b3 + b2 + b + 2 = 0

Cubic Base 1 length 7 [9kb]    Cubic Base 1 length 9 [13kb]

Base b with b3 + b2 + b - 2 = 0

Cubic Base 2 length 6 [9kb]    Cubic Base 2 length 7 [12kb]

Lego Models

In the days before computer graphics we had to build our own three-dimensional models. Here are Lego models of the above cubic bases.

Lego Model 1 [35kb]   Lego Model 2 [44kb]

The mathematics behind the pictures

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© 1994 by William Gilbert          This page was last updated on February 21, 2008