[HN Gopher] Irrational Base Number System (2000)
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Irrational Base Number System (2000)
Author : vector_spaces
Score : 21 points
Date : 2022-08-31 04:25 UTC (18 hours ago)
(HTM) web link (everything2.com)
(TXT) w3m dump (everything2.com)
| svat wrote:
| Better articles (IMO) at Wikipedia:
|
| https://en.wikipedia.org/wiki/Non-integer_base_of_numeration
|
| Example: https://en.wikipedia.org/wiki/Golden_ratio_base
|
| https://en.wikipedia.org/wiki/Non-standard_positional_numera...
| has a long list.
|
| An interesting one: base 2i https://en.wikipedia.org/wiki/Quater-
| imaginary_base -- this was introduced in one of the papers Donald
| Knuth wrote in college.
| asimpletune wrote:
| The most efficient number system is base e, ie ratio of number of
| digits that exist to placeholders needed to represent certain
| numbers.
|
| The most efficient integer is actually base 3, which also
| explains why ternary logic puzzles are so elegant.
| [deleted]
| [deleted]
| jonhess wrote:
| > which also explains why ternary logic puzzles are so elegant.
|
| Could you elaborate on that?
| etothepii wrote:
| The bigger issue seems to be what a digit is. In a "traditional"
| base system the digits represent a linear spread between base^n
| and base^{n+1}.
| joe_the_user wrote:
| Yeah, from this I think any irrational base is going to be
| either (uncountably) redundant or incomplete.
| tromp wrote:
| A bad idea that still merits discussion about the ways in which
| it is bad...
| qsort wrote:
| It's literally equivalent to the evaluation of a polynomial in
| a point. It's not even an idea, it's just notation. There isn't
| even any meaningful sense in which it's "good" or "bad".
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(page generated 2022-08-31 23:00 UTC)