{Chaotic Determinism (+ Extracts) [continued (4)]}[3rd August 1988]

[Redbook5:250][19880803:1432]{Chaotic Determinism (+ Extracts) [continued (4)]}[3rd August 1988]

.1432

*The Cantor Set,** or Cantor Dust, obtained by taking a continuous line segment (0-1) and repeatedly removing the middle 1/3rd(s) from any remaining lines, results in an infinite number of points of total length 0. The series expands 1, 2, 4, 8, 16, 32 etc. – like Pascal’s Triangle,*** as any doubling expansion from 1 must, I suppose:

*Points of particular relevance to C[ircles] A[nalysis]. <880807>

**Ibid [Gleick, ‘Chaos, Making a New Science’, Heinemann, London, 1988], 93

***[[Redbook5:194][19880625:0955b]{Pascal's Triangle}[20^th June 1988]; & see

[Redbook5:218-239][19880722:2307]{The Sphere}[22nd July 1988]ff]

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