POV-Ray : Newsgroups : povray.binaries.images : Snowflake transition : Re: Snowflake transition Server Time
8 Aug 2024 22:16:02 EDT (-0400)
  Re: Snowflake transition  
From: Bill Hails
Date: 17 Apr 2005 17:55:15
Message: <4262db43@news.povray.org>
Mike Williams wrote:

> --
> camera { location -4*z} #include "functions.inc" plane {z,0 pigment {
> function {(1+x/4)*(1-f_hex_x(x*5,y*5,z,0))
> +(2-x/2)*f_hex_y(x*5,y*5,z,0) -0.75 }
> colour_map {[0 rgb z][1 rgb 1]} } finish {ambient 1}}

Excellent.

Reminds me of an article, either in SciAm's old Computer Recreations
column or in Martin Gardeners excellent Armchair Universe book, about
"parquat deformations" (spelling?) Escher being the archaetypal example.

It occurs to me (I don't really follow your math so this may already
be what you are doing, but if you have a texture that varies in say
y from one "parquat" to another and you take a diagonal slice from
say y = 1 on the left (x) to y = 0 on the right and an orthographic
camera looking in the -y direction you could do almost any transformation.

Figure attached - is this how your image works?

-- 
Bill Hails
http://thyme.homelinux.net/


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Attachments:
Download 'parquat.png' (4 KB)

Preview of image 'parquat.png'
parquat.png


 

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