0.9 is a pretty close approximation for %:0.75 (less than 4% off).

   0.9%%:0.75
1.03923

Thanks,

-- 
Raul

On Mon, Mar 21, 2022 at 2:41 PM Devon McCormick <[email protected]> wrote:
>
> I did some experiments with drawing hexagons and decided a ratio of 0.9
> worked best: https://code.jsoftware.com/wiki/NYCJUG/HexagonAspects .
>
> On Mon, Mar 21, 2022 at 10:48 AM Raul Miller <[email protected]> wrote:
>
> > On Mon, Mar 21, 2022 at 7:18 AM Martin Kreuzer <[email protected]>
> > wrote:
> > > The option 'aspect' which was suggested as a remedy (using a value of
> > > 0.866, which -for reasons unknown to me- is suspiciously close to
> > > -:%:3) has probably more to do with the aspect of the plotted grid
> > > (and if so, in a weird way, at least one I do not fully understand).
> >
> >    1 2 o./ 2p1 * 0 1 2 % 6
> > 0 0.866025 0.866025
> > 1      0.5     _0.5
> >
> > Or, another approach: https://en.wikipedia.org/wiki/Eisenstein_integer
> >
> > Basically, if you are working with hexagons aligned on a square grid,
> > you are working with multiples of the square root of 0.75 along one
> > axis and multiples of 1 along the other axis.
> >
> > Anyways, personally, I think using an aspect of 1 and putting that
> > %:0.75 ratio into the data would be the right approach. My reading of
> > https://code.jsoftware.com/wiki/Plot/Options (and
> > https://code.jsoftware.com/wiki/Plot/Function) suggests to me that
> > using an aspect of %:0.75 should mean that the y axis is slightly
> > shorter than the x axis. This would let me use 1 in the y direction to
> > visually represent a %:0.75 distance in the y direction, which would
> > work, but is a bit confusing to talk about.  Still,
> >
> >    'aspect 0.866' plot 1 0.5j1 _0.5j1 _1 _0.5j_1 0.5j_1 1
> >
> > does give me something that looks like
> >
> >    plot j./2 1 o./2p1*(i.7)%6
> >
> > I hope this helps,
> >
> > --
> > Raul
> > ----------------------------------------------------------------------
> > For information about J forums see http://www.jsoftware.com/forums.htm
> >
>
>
> --
>
> Devon McCormick, CFA
>
> Quantitative Consultant
> ----------------------------------------------------------------------
> For information about J forums see http://www.jsoftware.com/forums.htm
----------------------------------------------------------------------
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