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Re: Split

  • To: mathgroup at smc.vnet.net
  • Subject: [mg17490] Re: Split
  • From: Allan Hayes <hay at haystack.demon.co.uk>
  • Date: Mon, 10 May 1999 01:44:27 -0400
  • References: <7h4hna$ecs@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Russell Towle <rustybel at foothill.net> wrote in message
news:7h4hna$ecs at smc.vnet.net...
> I have a list of 3D polygons with known surface areas, say, 1000 polygons
> and 15 different areas. I wish to divide the list up into sets of equal
> surface area, and it seems that Split ought to be able to do this.
>
> How can Split be used to split the list of polygons by area? How does one
> tell Split to admit a polygon into a sublist if its area is within, say,
> .001 of another area?
>
> Thanks much for your consideration of this question!
>
> Russell Towle
> P.O. Box 141
> Dutch Flat, California 95714
> ------------------------------
> Voice:  (530) 389-2872
> e-mail:  rustybel at foothill.net
> ------------------------------
>

Russell,
Some ideas - details would depend on how the areas are attached to the
polygons.

List the pairs  {area, polygon}

aps = {{1,p}, {2,q}, {1.1,r},{2.2,s},{1.9,t},{3,t}};

Sort them according to area (putting the area first makes this easy)

staps = Sort[aps]

{{1,p},{1.1,r},{1.9,t},{2,q},{2.2,s},{3,t}}

split when the jump in area is > .2

Split[staps,( #2[[1]]<=#1[[1]]+.2)&]

{{{1,p},{1.1,r}},{{1.9,t},{2,q}},{{2.2,s}},{{3,t}}}

Allan
---------------------
Allan Hayes
Mathematica Training and Consulting
Leicester UK
www.haystack.demon.co.uk
hay at haystack.demon.co.uk
Voice: +44 (0)116 271 4198
Fax: +44 (0)870 164 0565







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