"SharkD" <nomail@nomail> wrote:
> Ah, that's a clever trick. I will definitely try that. I'm not sure how to
> calculate the proper "correction" to introduce the correct level of distortion,
> though.
>

There is no correction to calculate, just set your camera vectors to the proper
ratios for the actual hex pattern.

>
> I'm talking resolutions of 200px or less. The image is meant as a background
> image for an HTML page.
>
> Also, none of these aspect ratios still match the aspect ratio. You need to
> multiply the height of the image by 2*cos(30). Is there a formula you used to
> determine "close" matches? Maybe I can adapt that.
>
> -Mike

You are right about the ratio.  The 2:2cos(30) ratio I've been using is the
ratio of hex width to height, but for tiling of a hex pattern it should be
3:2cos(30) or 2cos(30):1.

To get the values I basically just used an excel spreadsheet to calculate and
tabulate the values.


Best ratios under 1600 width:
1351 x 780 ( 0.000027% )
989 x 571 ( 0.000102% )
362 x 209 ( 0.000382% )
724 x 418 ( 0.000382% )
1086 x 627 ( 0.000382% )
1448 x 836 ( 0.000382% )
627 x 362 ( 0.000382% )
1254 x 724 ( 0.000382% )
1519 x 877 ( 0.000563% )
1545 x 892 ( 0.000691% )
892 x 515 ( 0.000691% )
1183 x 683 ( 0.000786% )
1157 x 668 ( 0.000859% )
821 x 474 ( 0.000964% )
1422 x 821 ( 0.000964% )


Best ratios ranked by size:
1351 x 780 ( 0.00003% )
989 x 571 ( 0.00010% )
362 x 209 ( 0.00038% )
265 x 153 ( 0.00142% )
97 x 56 ( 0.00531% )
71 x 41 ( 0.01984% )
26 x 15 ( 0.07399% )
19 x 11 ( 0.27663% )
7 x 4 ( 1.02567% )



-tgq

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