POV-Ray : Newsgroups : povray.general : Tiling hexagons : Re: Tiling hexagons Server Time
30 Jul 2024 16:20:19 EDT (-0400)
  Re: Tiling hexagons  
From: SharkD
Date: 20 Nov 2008 13:25:01
Message: <web.4925aae81539762db73646fd0@news.povray.org>
Dan Connelly <djc### [at] yahoocom> wrote:
> Trevor G Quayle wrote:
>
> > 1351 X 1170
> > 1560 x 1351
> > both have a difference of 0.000027%
>
> Here's a list of ratios which do the best, for sizes up to that ratio, or
reproducing the desired aspect ration:
>
> W    H    error
> 1    1    0.154700538379252
> 4    3    0.133974596215561
> 5    4    0.0762395692965987
> 6    5    0.0377495513506236
> 7    6    0.010256681389213
> 15   13   0.00074046659535143
> 52   45   0.000739918710263021
> 67   58   0.000408489164229975
> 82   71   0.000198314330160265
> 97   84   5.31420220913903e-05
> 209  181  3.81553418438152e-06
> 724  627  3.815519626027e-06
> 933  808  2.10609814010887e-06
> 1142 989  1.02236683030554e-06
> 1351 1170 2.7394246893131e-07
> 2911 2521 1.96681873010363e-08

None of the values you've listed match the correct aspect ratio. For instance,
2521 * ~1.73 = ~4367, and 1170 * ~1.73 = ~2026. Also, precision is important
because the pattern in the tiles needs to line up with an identical pattern in
a larger image. Also, the tiles themselves must have a low resolution. None of
the low-resolution options seem to have an acceptible margin of error.

-Mike


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