POV-Ray : Newsgroups : povray.general : Unit cell of pavement pattern? : Re: Unit cell of pavement pattern? Server Time
26 Apr 2024 02:00:14 EDT (-0400)
  Re: Unit cell of pavement pattern?  
From: Le Forgeron
Date: 15 Aug 2019 07:29:38
Message: <5d554222$1@news.povray.org>
Le 15/08/2019 à 12:15, Bald Eagle a écrit :
> 
> Le_Forgeron <jgr### [at] freefr> wrote:
> 
>> You will never find it, it's too obvious.
>>
>> The segment is 1 unit long.
> 
> That looks OK in the x direction, but in z, it's all off kilter.
> I tried to puzzle it out yesterday, even looking at patterns.cpp, and doing an
> overlay grid exactly like you have here, and couldn't get it to line up.
> 
> 

on the z, it's an hexagon whose center is at 0. so there is an offset of
sqrt(3)/2  (0.866, sinus 60 degree) to find the next horizontal.

the width on z is 1.732 (sqrt(3)), but 2 on x for a single hexagon.

On the paving block, the x length is 3, but remains at sqrt(3) on z.
(a paving block is a block you can repeat to pave a plane)


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