Sophie: cddlib-devel-094f-9.fc12 x86

cddlib-devel-094f-9.fc12.x86_64.rpm

(************** Content-type: application/mathematica **************

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    FontSlant->"Italic"],
  StyleBox[" and cddmathlink\nUsing cddmathlink to compute complex convex \
hulls and drawing with ",
    FontWeight->"Plain"],
  StyleBox["Mathematica",
    FontWeight->"Plain",
    FontSlant->"Italic"],
  StyleBox["\nby Komei Fukuda\nwith \na nice zonotope example\nof Russell \
Towle\n (April 17, 2001)",
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(* Russell Towle's codes to create projections (zonotopes) of
hypercubes.  *)

cross[ {ax_, ay_, az_}, {bx_, by_, bz_} ] := (*cross product*)
   {ay bz - az by, az bx - ax bz, ax by - ay bx}

mag[v_]:= Sqrt[Plus@@(v^2)] (*magnitude of a vector*)

unit[v_]:= v/Sqrt[v.v] (*make unit vector*)

tolerance=0.000001;
collinear[ v1_, v2_ ] := (*test for collinearity*)
   Apply[And, Map[Abs[#]<tolerance&, cross[v1,v2]]]

setStar[vlist_] := (*discard collinear vectors*)
   Module[{selected={}},
    Scan[Function[v, If[v!={0,0,0} &&
                        Select[selected,
                               collinear[v,#]&]=={},
                        AppendTo[selected,v]] ],
         vlist];

    Print[Length[selected],\" zonal directions.\"];
    gStar=selected] (*gStar is global, list of non-collinear vectors*)

\
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(* Here I set to a directory where I store
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(*the vectors which determine an n-merous polar zonohedron*)
(*3<=n, 0<=pitch<=90 degrees*)

vectors[n_Integer,pitch_]:=
Table[N[{Cos[Degree pitch] Cos[2Pi i/n],
\tCos[Degree pitch] Sin[2Pi i/n],
\t-Sin[Degree pitch]},15],
\t{i,n}]      (* modified by KF, precision 15 added *)\
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(*the pitch at which a polar zonohedron is
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(*Here, we obtain the vectors for an isometric projection of
a d-cube into cyclic symmetry*)

dim=8;
gen=Zonotope[vectors[dim, N[ 1/Degree * ArcTan[(1/2)^(1/2)],15 ] ] ];
genc = Chop[gen,10^(-12)];\
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