• ALGEBRAIC CONSTRUCTION OF THE CANTOR SET

VALENTINE ACHEGBE HORNUVO; WILLIAM OBENG-DENTEH*

• ALGEBRAIC CONSTRUCTION OF THE CANTOR SET

VALENTINE ACHEGBE HORNUVO, WILLIAM OBENG-DENTEH*

Abstract

The middle-third stages of the Cantor set and others were constructed step-by-step. In this paper, two algorithms together with the algebraic method, are derived as a faster way to construct the Cantor set.

Keywords

Cantor set, general case algorithm, middle case algorithm, line segment, algebraic methods, direct substitution, unit interval, dimension moment, self-similarity, fractal dimension, Hausdorff dimension.

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