Talk:Cantor set: Difference between revisions

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Latest revision as of 19:19, 6 November 2018

Perhaps a pity that this task looks a bit neglected and incompletely defined ?

I wonder if it would be worth fleshing it out, and perhaps aiming for two complementary representations of N steps of the elaboration of the ternary Cantor set – perhaps for example:

Each line as a list of intervals, expressed as fractions, and
some graphic representation of the same

e.g. where N = 4, perhaps something like the following ?

[0, 1]
[0, 1/3] [2/3, 1]
[0, 1/9] [2/9, 1/3] [2/3, 7/9] [8/9, 1]
[0, 1/27] [2/27, 1/9] [2/9, 7/27] [8/27, 1/3] [2/3, 19/27] [20/27, 7/9] [8/9, 25/27] [26/27, 1]

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 Perhaps a pity that this task looks a bit neglected and incompletely defined ?
-I wonder if it would be worth fleshing it out, and perhaps aiming for two complementary representations of N steps of the elaboration of the Cantor set – perhaps for example:
+I wonder if it would be worth fleshing it out, and perhaps aiming for two complementary representations of N steps of the elaboration of the ternary Cantor set – perhaps for example:
 # Each line as a list of intervals, expressed as fractions, and
 # some graphic representation of the same
-e.g. where N = 4, something like:
+e.g. where N = 4, perhaps something like the following ?
 <pre>[0, 1]