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EXTRA: poly_weave - weave based on a polyhedron

Usage    |    Examples    |    Notes


Usage: poly_weave [options] [input_file]

Read a file in OFF format and make a weave following a specified pattern.
The polyhedron faces are divided by a 'meta' operation into triangles
each having vertices which are a vertex V, edge centre E and face centre F.
A start point is positioned on one of these triangles, the next point is
found by using the pattern to step between triangles, leading to a circuit.
Intermediate points may be added along the steps to help with the weave.
If input_file is not given the program reads from standard input.

  -h,--help this help message (run 'off_util -H help' for general help)
  --version version information
  -p <pat>  weave pattern (default 'FEV'), a series of one or more paths.
            A path is:
               C,L - path of intermediate points is curve (default),line
                     (affects following paths, set as first char of pattern)
               Barycentric coords V,E,F of initial point (default 0,1,0)
               Optional intermediate points on the path - ':' followed
                  by 0 to 3 coordinates for 'up' (def: 0), 'side' (def: 0),
                  'along' (def: equal spacing)
               Series of characters to step between triangles
                  -     - stay on the same triangle
                  V,E,F - step two triangles rotating about V,E,F
                  R     - R reverse direction of following rotations
                  v,e,f - step over side opposite V,E,F
               t followed by l,r,b (def: tl), start circuits from 'left',
                  'right', both triangles
  -a        add the 'meta'-transformed base
  -f <ht>   lift the face centres by this height
  -o <file> write output to file (default: write to standard output)


See also, poly_weave examples with images.

An interwoven set of six pentagons

poly_weave -o icosahedron

An interwoven set of six pentagons. To show the circuits of the weave, colour the edges by face colour and hide the faces
poly_weave icosahedron | off_color -f U -e F | antiview -v 0.1 -x f


The poly_weave program was a starting point for creating the wythoff tiling program.

     Next: EXTRA: kaleido - uniform polyhedra (Zvi Har'El)
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Contact:      -      Modified 9.1.2023