slightly better symbols for numbers

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phillip1882
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slightly better symbols for numbers

Postby phillip1882 » Tue Sep 18, 2018 9:09 pm UTC

https://ibb.co/no5sWe

here, it clearer why the symbol for 5 represents 5 things.
and it can be extended to larger bases just by adding more and larger circles with dots.
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Re: slightly better symbols for numbers

Postby gmalivuk » Tue Sep 18, 2018 10:10 pm UTC

That's cumbersome and not at all practical. Does anyone have trouble with math that stems from a difficulty understanding that the symbol '5' represents this many (|||||) things?
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Re: slightly better symbols for numbers

Postby Soupspoon » Tue Sep 18, 2018 10:13 pm UTC

https://en.wikipedia.org/wiki/Tally_marks?
https://en.wikipedia.org/wiki/Egyptian_numerals?
(Insert other culturally early, and even some current pictographic, number systems here...)
See also: https://en.wikipedia.org/wiki/Roman_numerals#Hypotheses_about_the_origin_of_Roman_numerals, as an i interesting conjecture. Either to acknowledge of actively build in to your place-specialised large number versions.

Then there's the von Neumann ordinals that can be modified to your personal taste in pictographic representations).


Not knowing what you're actually aiming to do, I'm unsure whether to say "it's been done" or "it was done, then done better still"

PPE:
gmalivuk wrote:That's cumbersome and not at all practical. Does anyone have trouble with math that stems from a difficulty understanding that the symbol '5' represents this many (|||||) things?
More than that, I might have to squint to make sure that's not (||||||). Which is why the add-and-subtract nature of Roman numerals towards the nearest defined 5-or-0 place is handy. Glanced-at-||| is still mostly discernable from a ||, etc.

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Re: slightly better symbols for numbers

Postby gmalivuk » Tue Sep 18, 2018 10:17 pm UTC

Soupspoon wrote:
I might have to squint to make sure that's not (||||||). Which is why the add-and-subtract nature of Roman numerals towards the nearest defined 5-or-0 place is handy. Glanced-at-||| is still mostly discernable from a ||, etc.

Though in fairness the version phillip suggested was better arranged, similar to how it's fairly easy to tell at a glance how many symbols are on a die or playing card or domino.
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Re: slightly better symbols for numbers

Postby Pfhorrest » Tue Sep 18, 2018 10:31 pm UTC

While we're talking about better/different numeral systems, I'll share the system for procedural generating arbitrarily large numerals I came up with a while back:

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Re: slightly better symbols for numbers

Postby Soupspoon » Tue Sep 18, 2018 10:43 pm UTC

gmalivuk wrote:Though in fairness the version phillip suggested was better arranged, similar to how it's fairly easy to tell at a glance how many symbols are on a die or playing card or domino.
I agree, to some extent. But as an obvious example of 'handwriten' symbols (mouse-clicks-in-Paint?) that example sheet shows that 'messiness' can rearrange the dots around a bit to (nearly) touch each other and the boundary and subtly shift the presumed deliberate pattern.

Dice/domino-dot patterns for 0 to 9 are commonly used¹ that are also perfectly recognisable in any rotational(/reflective) position (unlike having to underline 6 and 9 in numeral-based labels, even on trionimos where "the enemy base edge is down" also applies²) and might even be improvements on this version of the idea.

Though I imagine anyway that unless this is a sort of cuniform writing system (impressions easily made for dots, the harder part being the containing stroke unless you have a 'cookie-cutter pen' specially for impressing that) handwriting the dots will turn into a cursive zig-zag of not-quite-lifted-pen-marks that eventually would resolve into a standardised squiggle for each pattern that bears a mere shadow of its original poly-dotted purpose whilst uniquely resembling a 'digit' that whatever futurekind persons there are may describe similarly to the OP complaint about the '5'.

(On a seven-segment display, the 5 is, along with only the 4 and 6, a digit that agrees directly with the magnitude of its segmentage!)

¹ Typically being: None, single central, two opposing corners, …and central, all four corners, …and central, two parallel corner-edge-corner rows, …and central, all corners and mid-edges, …and the middle one to complete the grid.
² I'd also mention the conventions used in British OS map contour-height labelling, especially as they converted from imperial feet heights to metric metre ones, but that's a whole interesting/boring[delete as inapplicable] thread of its own!

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Re: slightly better symbols for numbers

Postby Xanthir » Wed Sep 19, 2018 1:45 am UTC

Oof, yeah, those are terrible, sorry. Humans can't count-on-sight piles greater than 5 or 6, in general. This means the digits for 7-9 are very difficult to tell apart from each other. This is why roman numerals have a special form for 5/50/500, rather than just using IIIIIII (which I'm certain you can't tell on quick glance is 7, while VII *is* trivially readable).

(This is one of the several reasons I maintain that base 6 is the best base for humans to work in, not base 10. Damn our historical path thru tally systems that privilege 10, versus positional systems that would privilege base 6 as what our two hands can represent!)
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